Journal Articles (Appeared or Accepted)

2023

• J. Haubner, F. Neumann, and M. Ulbrich:
  A Novel Density Based Approach for Topology Optimization of Stokes Flow
  SIAM J. Sci. Comput., 45(2), pp. A338-A368, 2023, doi:10.1137/21M143114X

2022

• J. Morgan and B. Q. Tang:
  Global well-posedness for volume–surface reaction–diffusion systems
  Communications in Contemporary Mathematics, 2022, doi:10.1142/S021919972250002X

• M. Egan, B. C. Akdeniz, B. Q. Tang:
  Stochastic reaction and diffusion systems in molecular communications: Recent results and open problems
  Digital Signal Processing, Volume 124, 2022, doi:10.1016/j.dsp.2021.103117.

• D. Hafemeyer and F. Mannel:
  A path-following inexact Newton method for PDE-constrained optimal control in BV
  Computational Optimization and Applications (2022), doi:10.1007/s10589-022-00370-2

• N. Behringer, D. Leykekhman, and B. Vexler:
  Fully discrete best approximation type estimates in L^∞(I;L²(Ω)^d) for finite element discretizations of the transient Stokes equations
  IMA Journal of Numerical Analysis , (2022), doi:10.1093/imanum/drac009

• J. Milz:
  Sample average approximations of strongly convex stochastic programs in Hilbert spaces
  Optim. Lett., (2022), doi:10.1007/s11590-022-01888-4

• J. Milz and M. Ulbrich:
  An Approximation Scheme for Distributionally Robust PDE-Constrained Optimization
  SIAM J. Control Optim., 60 (2022), pp. 1410–1435, doi:10.1137/20M134664X

2021

• L. Desvillettes, V. Giunta, J. Morgan, and B. Tang:
  Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-31, 2021, doi:10.1017/prm.2021.33

• C. Christof, G. Wachsmuth:
  On second-order optimality conditions for optimal control problems governed by the obstacle problem
  Optimization, Volume 70(10), pp. 2247-2287, 2021, doi: 10.1080/02331934.2020.1778686

• C. Christof:
  On the Stability Properties and the Optimization Landscape of Training Problems with Squared Loss for Neural Networks and General Nonlinear Conic Approximation Schemes
  Journal of Machine Learning Research, 22(263), pp.1-77, 2021.

• C. Christof and B. Vexler:
  New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints
  ESAIM: COCV, Volume 27, 2021. Special issue in the honor of Enrique Zuazua's 60th birthday.

• S. Almi, S. Belz, S. Micheletti and S. Perotto:
  A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity
  Mathematical Models and Methods in Applied Sciences Vol. 31, No. 01, pp. 37-81 (2021) doi: 10.1142/S0218202521500020

• G. Holler and K. Kunisch:
  Learning nonlocal regularization operators
  Published online in AIMS Mathematical Control and Related Fields, doi: 10.3934/mcrf.2021003

• Bayram C. Akdeniz, M. Egan and Bao Q. Tang:
  Equilibrium Signaling in Spatially Inhomogeneous Diffusion and External Forces
  IEEE Transactions on Molecular, Biological, and Multi-Scale Communications (Special Section – Advances in Molecular Communication). doi: 10.1109/TMBMC.2021.3054908

• D. Lan, D.T. Son, Bao Q. Tang and L.T. Thuy:
  Quasilinear parabolic equations with first order terms and $latex L^1$-data in moving domains
  Nonlinear Analysis TMA 206, May 2021, 112233. doi: 10.1016/j.na.2020.112233

• Brian P. Cupps, Jeff Morgan and Bao Q. Tang:
  Uniform boundedness for reaction-diffusion systems with mass dissipation
  SIAM Journal of Mathematical Analysis 53(1) (2021) 323–350, doi: 10.1137/19M1277977

• K. Fellner, J. Morgan and Bao Q. Tang:
  Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions
  Discrete and Continuous Dynamical Systems – Series S, 14(2) (2021) 635-651, doi: 10.3934/dcdss.2020334

• N. Behringer
  Improved Error Estimates for Optimal Control of the Stokes Problem with Pointwise Tracking in Three Dimensions
  Mathematical Control & Related Fields, June 2021, 11(2): 313-328. doi: 10.3934/mcrf.2020038

• C. Christof and G. Müller:
  Multiobjective Optimal Control of a Non-Smooth Semilinear Elliptic Partial Differential Equation
  ESAIM: COCV, Volume 27, March 2021. doi: 10.1051/cocv/2020060

• C. Christof and D. Hafemeyer
  On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems
  Mathematical Control & Related Fields, Volume 12(2), pp. 421-431, 2021. doi: 10.3934/mcrf.2021028

• J. Haubner, M. Siebenborn and M. Ulbrich:
  A Continuous Perspective on Shape Optimization via Domain Transformations
  SIAM J. Sci. Comput., 43(3), A1997–A2018. (22 pages). Juni 2021. doi:10.1137/20M1332050

• B. R. Graswald and G. Friesecke:
  Electronic wavefunction with maximally entangled MPS representation
  Eur. Phys. J. D 75, 176 (2021). doi: 10.1140/epjd/s10053-021-00189-2

• D. Schaden and E. Ullmann:
  Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators
  SIAM/ASA Journal on Uncertainty Quantification, Volume 9, Issue 3. doi: 10.1137/20M1321607

2020

• T. Apel, J. Pfefferer, S. Rogovs, M. Winkler:
  Maximum norm error estimates for Neumann boundary value problems on graded meshes
  IMA Journal of Numerical Analysis, 40(1), pp. 474-497, Preprint arXiv: 1804.10904, 2020.

• J. Haubner, M. Ulbrich, S. Ulbrich:
  Analysis of shape optimization problems for unsteady fluid-structure interaction
  Inverse Problems, Volume 36, Number 3, Special Issue on Optimal Control and Inverse Problems

• K. Achterhold, S. Marschke, F. Pfeiffer, W. Ring, L. Wunderlich:
  An approach to construct a three-dimensional isogeometric model from µ-CT scan data with an application to the bridge of a violin
  Computer Aided Geometric Design, Volume 78, March 2020, 101815

• K. Fellner, J. Morgan and Bao Q. Tang:
  Global classical solutions to quadratic systems with mass conservation in arbitrary dimensions
  Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 37 no.2 (2020) 281—307

• D. Schaden, E. Ullmann:
  On multilevel best linear unbiased estimators
  SIAM/ASA J. Uncert. Quantif. 8(2), pp. 601 - 635, 2020, doi: 10.1137/19M1263534

• C. Christof:
  Gradient-based solution algorithms for a class of bilevel optimization and optimal control problems with a non-smooth lower level
  SIAM J. Optim., 30(1), 290–318, doi: 10.1137/18M1225707

• D. Hafemeyer, F. Mannel, I. Neitzel, B. Vexler:
  Finite element error estimates for one-dimensional elliptic optimal control by BV functions
  June 2020, 10(2): 333-363. doi: 10.3934/mcrf.2019041
  

• D. Leykekhman, B. Vexler, D. Walter:
  Numerical analysis of sparse initial data identification for parabolic problems
  ESAIM: Mathematical Modelling and Numerical Analysis, Volume 54, Number 4, pp.1139 - 1180, July-August 2020. doi: 10.1051/m2an/2019083

• N. Behringer, D. Leykekhman, B. Vexler:
  Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra
  SIAM J. Numer. Anal., 58(3), 1531–1555. doi: 10.1137/19M1274456

• J. Morgan, Bao Q. Tang
  Boundedness for reaction-diffusion systems with Lyapunov functions and intermediate sum conditions
  Nonlinearity, Volume 33, Number 7 (2020) 3105-3133. doi:10.1088/1361-6544/ab8772

• C. Christof, C. Haubner:
  Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem
  Numerische Mathematik, May 2020. doi: 10.1007/s00211-020-01117-z

• K. Pieper, Bao Q. Tang, P. Trautmann, D. Walter:
  Inverse point source location with the Helmholtz equation on a bounded domain
  Comput Optim Appl 77, 213–249 (June 2020). doi: 10.1007/s10589-020-00205-y

• S. Engel, C. P. Trautmann, B. Vexler
  Optimal Finite Element Error Estimates for an Optimal Control Problem governed by the Wave Equation with Controls of Bounded Variation
  IMA Journal of Numerical Analysis, draa03, July 2020; DOI: 10.1093/imanum/draa032.

• J. Milz, M. Ulbrich:
  An Approximation Scheme for Distributionally Robust Nonlinear Optimization
  SIAM J. Optim., 30(3), pp. 1996--2025, 2020. doi: 10.1137/19M1263121

• D. Kraft:
  Computing the Hausdorff Distance of Two Sets from Their Distance Functions
  International Journal of Computation Geometry and Applications, vol. 30, no. 01, pages 19-49, 2020. doi:10.1142/S0218195920500028

• M. Brokate:
  Newton and Bouligand derivatives of the scalar play and stop operator
  Math. Model. Nat. Phenom. 15 (2020), 15. doi: 10.1051/mmnp/2020013.

• Bayram C. Akdeniz, M. Egan and Bao Q. Tang:
  Equilibrium Signaling: Molecular Communication Robust to Geometry Uncertainties
  IEEE Transactions on Communications, Volume 69(2), pp. 752–765, 2021, doi: 10.1109/TCOMM.2020.3034662

• M. Braukhoff, Bao Q. Tang:
  Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
  Journal of Differential Equations. Vol 268 (12) (2020) 10630 – 10669. doi: 10.1016/j.jde.2020.06.041

• A. Einav, J. Morgan, Bao Q. Tang:
  Indirect diffusion effect in degenerate reaction-diffusion systems
  SIAM Journal of Mathematical Analysis. Vol. 52 (5) (2020) 4314-4361. doi 10.1137/20M1319930

• Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Q. Tang:
  Energy conservation for inhomogeneous incompressible and compressible Euler equations
  Journal of Differential Equations. Vol 269, number 9 (2020) 7171-7210. doi: 10.1016/j.jde.2020.05.025

• E.S. Daus, A. Jüngel, Bao Q. Tang:
  Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type
  Arch Rational Mech Anal 235 (2020) 1059-1104. doi: 10.1007/s00205-019-01439-9
  

• S. Belz, K. Bredies:
  Approximation of the Mumford-Shah functional by phase fields of bounded variation
  Analysis and Applications Vol. 19, No. 02, Dec. 2020. doi: 10.1142/S0219530520500190

• S. Almi, M. Fornasier and R. Huber:
  Data-driven evolutions of critical points
  AIMS Foundations of Data Science, Sept. 2020, 2(3): 207-255. doi: 10.3934/fods.2020011

2019

• H. Antil, J. Pfefferer, S. Rogovs:
  Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization
  Communications in Mathematical Sciences, 16(5), pp. 1395-1426, 2018, doi:10.4310/CMS.2018.v16.n5.a11

• J. Pfefferer, M. Winkler:
  Finite element error estimates for normal derivatives on boundary concentrated meshes
  SIAM Journal on Numerical Analysis, 57(5), pp. 2043-2073, 2019, doi:10.1137/18M1181341

• E.S. Daus, Bao Q. Tang:
  Trend to equilibrium of renormalized solutions to reaction-cross-diffusion systems
  arXiv: 1806.07103, Applied Mathematics Letters. 88 (2019) 81-89, doi: 10.1016/j.aml.2018.08.011
  

• K. Fellner, S. Sonner, Bao Q. Tang, D.D. Thuan:
  Stabilisation by noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions
  arXiv: 1803.11058; doi: 10.3934/dcdsb.2019050
  Online in AIMS: Discrete and Continuous Dynamical Systems – Series B.

• L. Bonifacius and K. Pieper:
  Strong stability of linear parabolic time-optimal control problems
  ESAIM: Control, Optimisation and Calculus of Variations, 25:1, 2019. doi:10.1051/cocv/2017079.
  

• L. Bonifacius, K. Pieper, B. Vexler:
  A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems
  SIAM J. Control Optim., 57(1), 129–162. (34 pages), doi: 10.1137/18M1166948

• S. Dohr, J. Zapletal, G. Of, M Mert, M. Kravčenko:
  A parallel space–time boundary element methodfor the heat equation
  Computers and Mathematics with Applications, doi: 10.1016/j.camwa.2018.12.031

• S. Almi, S. Belz. M. Negri:
  Convergence of discrete and continuous unilateral flows for Ambrosio-Tortorelli energies and application to mechanics
  ESAIM Math. Model. Numer. Anal., 53(2):659–699, 2019 doi:10.1051/m2an/2018057

• C. Christof:
  Sensitivity analysis and optimal control of obstacle-type evolution variational inequalities
  SIAM Journal on Control and Optimization, Volume 57(1), pp. 192-218, 2019. doi:10.1137/18M1183662

• R. Huber, G. Haberfehlner, M. Holler, G. Kothleitner and K. Bredies:
  Total Generalized Variation regularization for multi-modal electron tomography
  Nanoscale, 11:5617-5632, 2019. DOI:10.1039/C8NR09058K

• R. Huber, M. Holler, K. Bredies:
  Graptor - Graz Application for tomographic reconstruction
  Software programm, Zenodo, 2019. doi: 10.5281/zenodo.2586204.

• P. Swierczynski and B. Wohlmuth :
  Energy-corrected FEM and explicit time- stepping for parabolic problems
  ESAIM: M2AN, Volume 53, Number 6, November-December 2019, 1893 - 1914, doi: 10.1051/m2an/2019038

• U. Khristenko, L. Scarabosio, P. Swierczynski, E. Ullmann, B. Wohlmuth :
  Analysis of boundary effects on PDE-based sampling of Whittle–Mat ́ern random fields
  SIAM/ASA J. Uncertainty Quantification, 7(3), 948–974. doi: 10.1137/18M1215700

• L. Bonifacius, K. Pieper, B. Vexler:
  Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
  SIAM J. Control and Optim., 2019, Vol. 57, No. 3: pp. 1730-1756, doi: 10.1137/18M1213816
  

• H. Bonart, J. Jung, C. Kahle, J-U. Repke:
  Influence of liquid density and surface tension on the pinning of sliding droplets on a triangular microstructure
  Published Online in Chemical Engineering and Technology, May 2019, doi: 10.1002/ceat.201900029
  

• N. Behringer, D. Meidner, B. Vexler:
  Finite element error estimates for optimal control problems with pointwise tracking
  Online Journal Pure and Applied Functional Analysis, Volume 4, Number 2, 177-204, 2019

• L. Bonifacius and K. Kunisch:
  Time-optimality by distance-optimality for parabolic control systems
  ESAIM: M2AN, Volume 54, Number 1, January-February 2020, 79 - 103, doi:10.1051/m2an/2019046

• S. Dohr, K. Niino, and O. Steinbach:
  Space–time boundary element methods for the heat equation
  Space-Time Methods: Applications to Partial Differential Equations, Radon Series on Computational and Applied Mathematics, 25, 2019. doi: 10.1515/9783110548488-001

• S. Engel, D. Hafemeyer, C. Münch, and D. Schaden:
  An application of sparse measure valued Bayesian inversion to acoustic sound source identification
  Inverse Problems, 2019. doi: 10.1088/1361-6420/ab1497.

• V. A. Kovtunenko and A. V. Zubkova:
  Homogenization of the generalized Poisson–Nernst– Planck problem in a two-phase medium: correctors and residual error estimates
  Applicable Analysis, 2019. doi:10.1080/00036811.2019.1600676.

• C. Kühn and C. Münch:
  Duck traps: two-dimensional critical manifolds in planar systems
  Dynamical Systems, 0(0):1–29, 2019. doi:10.1080/14689367.2019.1575337

• S. Dohr, C. Kahle, S. Rogovs, P. Swierczynski:
  A FEM for an optimal control problem subject to the fractional Laplace equation
  Calcolo (2019) 56: 37, doi: 10.1007/s10092-019-0334-3
  

• S. Engel, K. Kunisch:
  Optimal Control of the Linear Wave Equation by Time-Depending BV-Controls: A Semi-Smooth Newton Approach
  Math. Control Relat. Fields (2019); arXiv: 1808.10158, doi: 10.3934/mcrf.2020012
  

• D. Hafemeyer, C. Kahle, J. Pfefferer:
  Finite element error estimates in L2 for regularized discrete approximations to the obstacle problem
  J. Numer. Math. (2019), doi: 10.1007/s00211-019-01081-3

• M. Egan, Bao Q. Tang, B.C. Akdeniz:
  On the Input-Output relationship for molecular communications in general first-order chemical reaction-diffusion systems
  Proceedings of ACM NanoCom 2019 Conference in Dublin, Ireland.

• K. Fellner, J. Morgan, Bao Q. Tang:
  Global classical solutions to quadratic systems with mass control in arbitrary dimensions
  Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire, DOI:10.1016/j.anihpc.2019.09.003

• Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Q. Tang:
  Energy equalities for compressible Navier-Stokes equations.
  Nonlinearity.32 (2019) 4206-4231, doi:10.1088/1361-6544/ab28ae

• K. Fellner, E. Latos, Bao Q. Tang:
  Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion
  Journal of Evolution Equations, doi:10.1007/s00028-019-00543-3

• M. Brokate, K. Fellner and M. Lang-Batsching:
  Weak differentiability of the control-to-state mapping in a parabolic equation with hysteresis
  Nonlinear Differ. Equ. Appl. 26, 46 (2019). doi: 10.1007/s00030-019-0593-3

2018

• V. A. Kovtunenko, A. V. Zubkova:
  Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium
  Kinet. Relat. Mod. 11 (2018), 1, 119-135. doi: 10.3934/krm.2018007

• G. Friesecke, F. Henneke, K. Kunisch;
  Frequency-sparse optimal quantum control
  Mathematical Control and Related Fields, 8(1):155–176, 2018 (Special Issue in Honor of Eduardo Casas for his 60th birthday) doi: 10.3934/mcrf.2018007

• L. Bonifacius, I Neitzel;
  Second order optimality conditions for optimal control of quasilinear parabolic equations
  AIMS Mathematical Control & Related Fields, 2018, Volume 8, Issue 1 (Special Issue in Honor of Eduardo Casas for his 60th birthday) doi: 10.3934/mcrf.2018001

• T. Apel, M. Mateos, J. Pfefferer and A. Rösch;
  Error estimates for Dirichlet control problems in polygonal domains: Quasi-uniform meshes
  AIMS Mathematical Control & Related Fields, 2018, Volume 8, Issue 1 (Special Issue in Honor of Eduardo Casas for his 60th birthday) doi: 10.3934/mcrf.2018010

• K. Fellner, M. Kniely:
  On the entropy method and exponential convergence to equilibrium for a recombination-drift-diffusion system with self-consistent potential
  Applied Mathematics Letters, Volume 79, May 2018, Pages 196-204; doi: 10.1016/j.aml.2017.12.017

• D. Meidner, J. Pfefferer, K. Schürholz, B. Vexler:
  hp-finite elements for fractional diffusion
  SIAM J. Numer. Anal., 56(4), 2345–2374. doi: 10.1137/17M1135517
  

• Bao Q. Tang:
  Global classical solutions to reaction-diffusion systems in one and two dimensions
  Communications in Mathematical Sciences. 16(2):411-423, 2018
  

• K. Fellner, Bao Q. Tang:
  Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems
  Z. Angew. Math. Phys., 69(3):Art. 54, 30, 2018. doi:10.1007/s00033-018-0948-3
  

• H. Egger, K. Fellner, J.-F. Pietschmann, Bao Q. Tang:
  Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology
  Appl. Math. Comput., 336:351–367, 2018. doi:10.1016/j.amc.2018.04.031
  

• B. Azmi, A.-C. Boulanger, K. Kunisch:
  On the semi-global stabilizability of the Korteweg-de Vries equation via model predictive control
  ESAIM Control Optim. Calc. Var., 24(1):237– 263, 2018. doi: https://doi.org/10.1051/cocv/2017001

• D. Meidner, J. Pfefferer, K. Schürholz, B. Vexler:
  hp-finite elements for fractional diffusion
  SIAM J. Numer. Anal., 2018, 56(4), 2345–2374. (30 pages), https://doi.org/10.1137/17M1135517
  

• D. Leykekhman, B Vexler:
  Discrete maximal parabolic regularity for Galerkin finite element methods for nonautonomous parabolic problems
  SIAM J. Numer. Anal., 2018, 56(4), 2178–2202. (25 pages), doi:10.1137/17M114100X
  

• S. Almi, S. Belz:
  Consistent finite-dimensional approximation of phase-field models of fracture
  Ann. Mat. Pura Appl., (2018). doi: 10.1007/s10231-018-0815-z

• M. Holler, R. Huber, F. Knoll:
  Coupled regularization with multiple data discrepancies
  Inverse Problems 34, No. 8 (2018) 084003 (38pp). doi: 10.1088/1361-6420/aac539

• G. Holler, K. Kunisch and R. C. Barnard:
  A bilevel approach for parameter learning in inverse problems
  Inverse Problems 34, No. 11 (2018) doi: 10.1088/1361-6420/aade77

• B. Azmi and K. Kunisch:
  Receding horizon control for the stabilization of the wave equation
  Discrete Contin. Dyn. Syst., 38(2):449–484, 2018. doi:10.3934/dcds.2018021

• L. John, P. Swierczynski, and B. Wohlmuth:
  Energy-corrected FEM for optimal Dirichlet boundary control problems
  Numerische Mathematik, 139(4): 913-938, 2018, doi: 10.1007/s00211-018-0952-8

• P. Swierczynski and B. Wohlmuth :
  Maximum norm estimates for energy- corrected finite element method
  Numerical Mathematics and Advanced Applications ENUMATH 2017, 126, 2018. doi:10.1007/978-3-319-96415-7_92

• Th. Apel, J. Pfefferer and M. Winkler:
  Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains
  IMA Journal of Numerical Analysis, 38(4):1984–2025, 2018. doi:10.1093/imanum/drx059
  

• T. Apel, M. Winkler, J. Pfefferer, and S. Rogovs:
  Maximum norm error estimates for Neumann boundary value problems on graded meshes
  IMA Journal of Numerical Analysis, 2018. doi:10.1093/imanum/dry076
  

• H. Antil, J. Pfefferer, and S. Rogovs:
  Fractional operators with inhomogeneous boundary conditions: Analysis, control, and discretization
  Communications in Mathematical Sciences, 16(5):1395–1426, 2018. doi:10.4310/CMS.2018.v16.n5.a11
  

• O. Burkovska, M. Gass, K. Glau, M. Mahlstedt, W. Schoutens, and B. Wohlmuth:
  Calibration to American options: numerical investigation of the de-Americanization method
  Quantitative Finance, 18(7):1091–1113, 2018. doi:10.1080/14697688.2017.1417622
  

• L. Failer and T. Wick:
  Adaptive time-step control for nonlinear fluid–structure interaction
  Journal of Computational Physics, 366:448–477, 2018. doi:10.1016/j.jcp.2018.04.021
  

• G. Friesecke and M. Kniely:
  New optimal control problems in density functional theory motivated by photovoltaics
  Multiscale Modeling and Simulation, 2018. arXiv:1808.04200. Accepted.
  

• C. Kümmerle and J. Sigl:
  Harmonic mean iteratively reweighted least squares for low-rank matrix recover
  J. Mach. Learn. Res., 19(47):1–49, 2018. doi:10.1007/s10589-016-9829-x
  

• S. Marschke, W. Ring, and B. Wohlmuth:
  Modeling, identification, and optimization of violin bridges
  PAMM, 18(1):e201800405, 2018. doi:10.1002/pamm.201800405
  

• C. Münch:
  Global existence and Hadamard differentiability of hysteresis reaction–diffusion systems
  Journal of Evolution Equations, 18(2):777–803, 2018. doi:10.1007/s00028-017- 0419-x
  

• P. Trautmann, B. Vexler, and A. Zlotnik:
  Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients
  Math. Control Relat. Fields, 8(2):411–449, 2018. doi:10.3934/mcrf.2018017
  

• C. Münch:
  Optimal control of reaction-diffusion systems with hysteresis
  ESAIM: COCV, 24(4):1453–1488, 2018. doi:10.1051/cocv/2018025.
  

• K. Fellner, E. Latos, Bao.Q. Tang:
  Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling
  Ann. Inst. H. Poincaré Anal. Non Linéaire, 35(3):643–673, 2018. doi:10.1016/j.anihpc.2017.07.002
  

• Bao Q. Tang:
  Close-to-equilibrium regularity for reaction-diffusion systems
  Journal of Evolution Equations, 18(2):845–869, 2018. doi:10.1007/s00028-017-0422-2
  

2017

• S. Garreis, M. Ulbrich:
  Constrained optimization with low-rank tensors and applications to parametric problems with PDEs
  SIAM Journal on Scientific Computing, 2017, Volume 39(1), A25–A54, doi:10.1137/16M1057607

• M. Artina, F. Cagnetti, M. Fornasier, F. Solombrino:
  Linearly constrained evolutions of critical points and an application to cohesive fractures
  Mathematical Models and Methods in Applied Sciences, 27(2):231–290, 2017. doi: 10.1142/S0218202517500014

• C. Lasser, D. Sattlegger:
  Discretising the Herman–Kluk propagator
  D. Numer. Math., March 2017, doi:10.1007/s00211-017-0871-0

• C. Kahle:
  An L∞ bound for the Cahn-Hilliard equation with relaxed non-smooth free energy
  International Journal of Numerical Analysis and Modeling, 14(2), pp. 243-254, 2017

• D. Kraft:
  Self-consistent gradient flow for shape optimisation
  Optimization Methods and Software, online 2016 and in Journal Volume 32, Nr. 4, pp. 790-812, 2017. doi: 10.1080/10556788.2016.1171864

• I. Neitzel, T. Wick, W. Wollner:
  An optimal control problem governed by a regularized phase-field fracture propagation model
  SIAM J. Control Optim., 55(4), 2271–2288. in 2017. https://doi.org/10.1137/16M1062375

• C. Kühn, C. Münch:
  Generalized play hysteresis operators as limits of fast-slow systems
  SIAM J. Appl. Dyn. Syst., 16(3), 1650–1685 in 2017. doi: 10.1137/17M1110584
  

• Th. Apel and S. Nicaise and J. Pfefferer:
  Adapted numerical methods for the numerical solution of the Poisson equation with {$L^2$} boundary data in nonconvex domains
  SIAM J. Numer. Anal. 55-4 (2017), pp. 1937-1957. doi:10.1137/16M1062077
  

• V. A. Kovtunenko, A. V. Zubkova:
  Solvability and Lyapunov stability of a two-component system of generalized Poisson-Nernst-Planck equations
  Recent Trends in Operator Theory and Partial Differential Equations (The Roland Duduchava Anniversary Volume), V. Maz'ya, D. Natroshvili, E. Shargorodsky, W.L. Wendland (Eds.), Operator Theory: Advances and Applications 258, 173-191, Birkhaeuser, Basel, 2017.
  

• V. A. Kovtunenko, A. V. Zubkova:
  On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability
  Math. Meth. Appl. Sci. 40 (2017), 2284-2299. doi: 10.1002/mma.4140
  

• L. Desvillettes, K. Fellner, Bao Q. Tang,
  Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks
  SIAM J. Math. Anal., 49(4):2666– 2709, 2017. doi:10.1137/16M1073935
  

• K. Fellner, Bao Q. Tang:
  Explicit exponential convergence to equilibrium for nonlinear reaction-diffusion systems with detailed balance condition
  Nonlinear Analysis, TMA. 159 (2017) pp. 145 – 180 (Special issue: Advances in reaction-cross-diffusion systems. Editors: L. Chen, A. Jüngel, L. Desvillettes)
  

• K. Fellner, W. Prager and Bao Q. Tang:
  The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks
  Kinetic and Related Models. 10 (4) (2017) pp. 1055 – 1087
  

• D. Kraft:
  Geometric constraints in descent methods for shape optimisation
  ESAIM: M2AN, Vol 51, Num 6, 2017, 2193-2212, doi: 10.1051/m2an/2017020
  

• M. Bongini and G. Buttazzo:
  Optimal control problems in transport dynamics
  Math. Models Methods Appl. Sci., 27(3):427–451, 2017. doi:10.1142/S0218202517500063

• M. Bongini and M. Fornasier:
  Sparse control of multiagent systems
  Active Particles, Volume 1, pp. 259–298. Springer, 2017. doi:10.1007/978-3-319-49996-3_5

• M. Bongini, M. Fornasier, F. Rossi, and F. Solombrino:
  Mean-field Pontryagin maximum principle
  J. Optim. Theory Appl., 175(1):1–38, 2017. doi:10.1007/s10957-017-1149-5

• A.-C. Boulanger and P. Trautmann:
  Sparse optimal control of the KdV-Burgers equation on a bounded domain
  SIAM J. Control Optim., 55(6):3673–3706, 2017. doi:10.1137/15M1020745

• K. Fellner, Bao Q. Tang:
  Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems
  From particle systems to partial differential equations, vol. 209 of Springer Proc. Math. Stat., pp. 153–176. Springer, Cham, 2017. doi:10.1007/978- 3-319-66839-0:8, arXiv:1609.05943 & From Particle Systems to Partial Differential Equations, PSPDE IV, Braga, Portugal, December 2015, Springer Proceedings in Mathematics and Statistics (2017) 153—176

• V. Kovtunenko, P. Krejcˇí, E. Bauer, L. Siváková, and A. Zubkova:
  On Lyapunov stability in hypoplasticity
  J. U. K. Mikula, D. Ševcˇovicˇ, ed., Proceedings of EQUADIFF 2017 Conference, pp. 107–116. Slovak University of Technology, 2017.

• M. Bongini, M. Fornasier, M. Hansen, and M. Maggioni:
  Inferring interaction rules from observations of evolutive systems I: The variational approach
  Math. Models. Meth. Appl. Sci., 27(05):909–951, 2017. doi:10.1142/S0218202517500208

2016

• D. Kraft:
  A Hopf–Lax formula for the time evolution of the level-set equation and a new approach to shape sensitivity analysis
  Interfaces and Free Boundaries, 18(3):317–353, 2016. doi: 10.4171/IFB/366

• D. Kraft:
  Game channels for trustless off-chain interactions in decentralized virtual worlds
  Ledgerjournal Vol 1 (2016). doi: 10.5195/LEDGER.2016.15

• B. Azmi, K. Kunisch:
  On the stabilizability of the Burger's equation by receding horizon control
  SIAM J. Control Optim., 54(3): 1378–1405, 2016. doi:10.1137/15M1030352

• F. Henneke, Bao Q. Tang:
  Fast reaction limit of a volume-surface reaction-diffusion systems towards a heat equation with dynamical boundary conditions
  Asymptotic Analysis, vol. 98, no. 4, pp. 325-339, 2016. doi: 10.3233/ASY-161371.

• K. Kunisch, Ph. Trautmann, B. Vexler:
  Optimal control of the undamped linear wave equation with measure valued controls
  SIAM Journal on Control and Optimization (SICON), 54(3), 1212–1244, 2016. doi: 10.1137/141001366

• D. Leykekhman, B. Vexler:
  Finite element pointwise results on convex polyhedral domains
  SIAM Journal on Numerical Analysis, 54(2): 561–587, 2016. doi:10.1137/15M1013912

• T. Breiten, K. Kunisch:
  Compensator design for the monodomain equations
  ESAIM: COCV, Volume 23, Number 1, January-March 2017, 241 - 262, doi: 10.1051/cocv/2015047

• G. Peralta, G. Propst:
  Well-posedness and regularity of linear hyperbolic systems with dynamic boundary conditions
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 146(5), 1047-1080. doi: 10.1017/S030821051500082

• G. Peralta, G. Propst:
  Nonlinear and linear hyperbolic systems with dynamic boundary conditions
  Bull Braz Math Soc, New Series 47, 671–683 (2016). doi: 10.1007/s00574-016-0177-3

• K. Fellner, S. Rosenberger, Bao Q. Tang:
  Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system
  Comm. Math. Sci., vol. 14 (6), pp. 1553-1580, 2016. doi: 10.4310/CMS.2016.v14.n6.a5

• L. Failer, D. Meidner, B. Vexler:
  Optimal Control of a Linear Unsteady Fluid-Structure Interaction Problem
  Journal of Optimization Theory and Applications, 170(1), pp. 1-27, 2016. doi:10.1007/s10957-016-0930-1
  

• Th. Apel, S. Nicaise and J. Pfefferer:
  Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
  Numer. Methods Partial Differential Equations, 32 (5), pp. 1433-1454, 2016. doi: 10.1002/num.22057
  

• Th. Apel, O. Steinbach and M. Winkler:
  Error estimates for Neumann boundary control problems with energy regularization
  Journal of Numerical Mathematics, 24 (4), pp. 207--233, 2016. doi:10.1515/jnma-2015-0072
  

• G. Albi, M. Bongini, E. Cristiani, D. Kalise:
  Invisible control of self-organizing agents leaving unknown environments*
  SIAM J. Appl. Math., Volume 76, Nr. 4, pp.1683-1710, 2016, doi: 10.1137/15M1017016

• M. Keuthen, D. Kraft:
  Shape optimization of a breakwater
  Inverse Problems in Science and Engineering, 24(6):936–956, 2016. doi: 10.1080/17415977.2015.1077522

• J. Sigl:
  Nonlinear residual minimization by iteratively reweighted least squares
  Computational Optimization and Applications, 64(3):755–792, 2016. doi:10.1007/s10589-016-9829-x.

• K. Kunisch, K. Pieper, A. Rund:
  Time optimal control for a reaction diffusion system arising in cardiac electrophysiology - a monolithic approach
  ESAIM: Mathematical Modelling and Numerical Analysis, published online, 2015. doi:10.1051/m2an/2015048; and ESAIM: M2AN, 50(2):381–414, 2016.

• T. Apel, J. Pfefferer, and M. Winkler:
  Local mesh refinement for the discretisation of Neumann boundary control problems on polyhedra
  Mathematical Methods in the Applied Sciences, 39(5):1206–1232, 2016. doi:10.1002/mma.3566

• G. Albi, M. Artina, M. Fornasier, and P. Markowich.
  Biological transportation networks: Modeling and simulation.
  Analysis and Applications, 14(01): 185-206, 2016. doi: 10.1142/S0219530515400059

• D. Kraft:
  Measure-theoretic properties of level sets of distance functions
  Journal of Geometric Analysis, 26(4):2777–2796, 2016. doi 10.1007/s12220-015-9648-9

• Bao Q. Tang:
  Regularity of random attractors for stochastic reaction diffusion equations on unbounded domains
  Stochastics and Dynamics, 16(01): 1650006, 2016. doi: 10.1142/S0219493716500064

• D. Kraft.
  Difficulty control for blockchain-based consensus systems
  Peer-to-Peer Networking and Applications, 9(2): 397-413, 2016. doi 10.1007/s12083-015-0347-x

2015

• O. Steinbach, B. Wohlmuth, L. Wunderlich:
  Trace and flux a priori error estimates in finite element approximations of Signorni-type problems
  IMA J. Numer. Anal., 36(3):1072–1095, 2015. doi 10.1093/imanum/drv039

• K. Fellner, V. Kovtunenko:
  A singularly perturbed nonlinear Poisson–Boltzmann equation: uniform and super-asymptotic expansions
  Mathematical Methods in the Applied Sciences, 38(16): 3575–3586, 2015. doi 10.1002/mma.3593

• B. Kiniger:
  A transformation approach in shape optimization: Existence and regularity results
  Numerical Functional Analysis and Optimization, 36(12): 1585-1621, 2015. doi 10.1080/01630563.2015.1076001.

• G. Peralta, G. Propst:
  Global smooth solution to a hyperbolic system on an interval with dynamic boundary conditions
  Quart. Appl. Math. 74 (2016), 539-570, doi:10.1090/qam/1432

• Ch. Boehm, M. Ulbrich:
  A semismooth Newton-CG method for constrained parameter identification in seismic tomography
  SIAM J. Sci. Comput.,37(5): S334-S364, 2015. doi 10.1137/140968331

• K. Kunisch, Z. Rao:
  Minimal time problem with impulsive controls
  published online in Applied Mathematics & Optimization, 2015. doi 10.1007/s00245-015-9324-2.

• M. Mateos, I. Neitzel:
  Dirichlet control of elliptic state constrained problems
  published online in Computational Optimization and Applications, 2015. doi 10.1007/s10589-015-9784-y

• K. Bredies, M. Holler:
  A TGV-based framework for variational image decompression, zooming and reconstruction. Part I: Analytics
  SIAM Journal on Imaging Sciences, 8(4):2814-2850, 2015. doi:10.1137/15M1023865

• K. Bredies, M. Holler:
  A TGV-based framework for variational image decompression, zooming and reconstruction. Part II: Numerics
  SIAM Journal on Imaging Sciences, 8(4): 2851–2886, 2015. doi:10.1137/15M1023877

• A. Braides, M. Cicalese, F. Solombrino:
  $Q$-Tensor continuum energies as limits of head-to-tail symmetric spin systems
  SIAM Journal on Mathematical Analysis, 47(4): 2832-2867, 2015. doi: 10.1137/130941341

• F. Solombrino:
  A priori time-regularity estimates and a simplified proof of existence in perfect plasticity
  Published online in "Mathematische Nachrichten", May 2015, doi: 10.1002/mana.201300110

• O. Burkovska, B. Haasdonk, J. Salomon, B. Wohlmuth:
  Reduced basis methods for pricing options with the Black-Scholes and Heston model
  SIAM Journal on Financial Mathematics, 6(1): 685-712, 2015. doi: 10.1137/140981216

• N.D. Botkin, M. Brokate, E.G. El Behi-Gornostaeva:
  One-phase flow in porous media with hysteresis.
  published online in Physics B: Condensed Matter, 2015.

• M. Artina, M. Fornasier, S. Peter:
  Damping noise-folding and enhanced support recovery in compressed sensing
  IEEE Transactions on Signal Processing, 63(22): 5990 - 6002, 2015. doi 10.1109/TSP.2015.2461521

• Bao Q. Tang:
  Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains
  Discrete and Continuous Dynamical Systems, Series A, 35(1): 441-466, 2015. doi: 10.3934/dcds.2015.35.441

• E. Brivadis, A. Buffa, B. Wohlmuth, L. Wunderlich:
  Isogeometric mortar methods
  Computer Methods in Applied Mechanics and Engineering, 284: 292–319, 2015. doi: 10.1016/j.cma.2014.09.012

• I. Neitzel, J. Pfefferer, A. Rösch:
  Finite element discretization of state-constrained elliptic optimal control problems with semilinear state equation
  SIAM Journal on Control and Optimization, 53(2): 874–904, 2015, doi: 10.1137/140960645

• M. Kniely and W. Ring:
  Riemannian methods for optimization in shape space of triangular meshes.
  Inverse Problems in Science and Engineering, 23(6): 1011-1039, 2015. doi: 10.1080/17415977.2014.980243

• M. Artina, M. Fornasier, S. Micheletti, S. Perotto:
  Anisotropic mesh adaptation for crack detection in brittle materials
  SIAM J. Sci. Comput., 37(4): B633–B659, 2015. doi:10.1137/140970495

• G. Peralta and G. Propst:
  Stability and boundary controllability of a linearized model of flow in an elastic tube.
  ESAIM Control, Optimisation and Calculus of Variations, 21(2): 583 - 601, 2015. doi: 10.1051/cocv/2014039

• T. Apel, J. Pfefferer, and A. Rösch:
  Finite element error estimates on the boundary with application to optimal control.
  Mathematics of Computation, 84: 33–70, 2015. doi 10.1090/S0025-5718-2014-02862-7

• A.-C. Boulanger, P. Moireau, B. Perthame, and J. Sainte-Marie:
  Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description.
  Communications in Mathematical Sciences, 13(3): 587–622, 2015. doi:10.4310/CMS.2015.v13.n3.a1

• M. Cicalese and F. Solombrino:
  Frustrated ferromagnetic spin chains: a variational approach to chirality transitions.
  Journal of Nonlinear Science, 25(2): 291–313, 2015. doi 10.1007/s00332-015-9230-4

• D. Meidner and T. Richter:
  A posteriori error estimation for the fractional step theta discretization of the incompressible Navier–Stokes equations.
  Comput. Methods in Appl. Mechanics and Engineering, 288:45–59, 2015. doi:10.1016/j.cma.2014.11.031

• I. Neitzel, J. Pfefferer, and A. Rösch:
  Finite element discretization of state-constrained elliptic optimal control problems with semilinear state equation.
  SIAM J. Control Optim., 53(2):874-904, 2015. doi:10.1137/140960645

• K. Krumbiegel and J. Pfefferer:
  Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations
  Computational Optimization and Applications, 61(2): 373-408, 2015. doi: 10.1007/s10589-014-9718-0

• P. Merino, I. Neitzel, and F. Tröltzsch:
  An adaptive numerical method for semi-infinite elliptic control problems based on error estimates.
  Optimization Methods and Software, 30(3): 492-515, 2015. doi: 10.1080/10556788.2014.932789

• M. Bongini, D. Kalise, and M. Fornasier:
  (Un)conditional consensus emergence under perturbed and decentralized feedback controls
  Discrete and Continuus Dynamical Systems, Series A, 35(9): 4071 - 4094, 2015. doi:10.3934/dcds.2015.35.4071

• M. Bongini, M. Fornasier, O. Junge, and B. Scharf:
  Sparse Control of Alignment Models in High Dimension
  Networks and Heterogenous Media, 10(3): 647 - 697, 2015. doi: 10.3934/nhm.2015.10.647

• Th. Apel, M. Mateos, J. Pfefferer, A. Rösch:
  On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains
  SIAM J.\ Control Optim., 2015, Vol. 53, pp.3620--3641 doi:10.1137/140994186

• Thomas Apel, Johannes Pfefferer, Max Winkler:
  Local Mesh Refinement for the Discretisation of Neumann Boundary Control Problems on Polyhedra
  Mathematical Methods in the Applied Sciences, 39(5):1206–1232, 2016. doi:10.1002/mma.3566.

• F. Henneke, M. Liebmann:
  A Generalized Suzuki-Trotter Type Method in Optimal Control of Coupled Schrödinger Equations
  Computing and Visualization in Science, 17(6):277–293, 2015. doi:10.1007/s00791-016-0266-2.

• M. Keuthen, M. Ulbrich:
  Moreau-Yosida regularization in shape optimization with geometric constraint
  Computation Optimization and Applications, 62(1):181-216, Springer, 2015. DOI: 10.1007/s10589-014-9661-0.

2014

• Th. Apel, A. L. Lombardi, M. Winkler:
  Anisotropic mesh refinement in polyhedral domains: error estimates with data in L^2(Ω)
  ESAIM Math. Model. Numer. Anal., 48(4): 1117–1145, 2014. doi: 10.1051/m2an/2013134

• M. Bongini and M. Fornasier:
  Sparse stabilization of dynamical systems driven by attraction and avoidance forces
  Networks and Heterogeneous Media, pages 1-31, 9(1): 1-31, 2014. doi: 10.3934/nhm.2014.9.1

• Bao Q. Tang:
  Dynamics of stochastic three dimensional Navier-Stokes-Voigt equations on unbounded domains
  Journal of Mathematical Analysis and Applications, 419(1): 583-605, 2014. doi:10.1016/j.jmaa.2014.05.003

• P. Merino, I. Neitzel, F. Tröltzsch:
  An adaptive numerical method for semi-infinite elliptic control problems based on error estimates
  Optimization Methods and Software, 30(3): 492-515, 2015. doi: 10.1080/10556788.2014.932789

• K. Kunisch, K. Pieper, B. Vexler:
  Measure valued directional sparsity for parabolic optimal control problems
  SIAM J. Control Optim., 52(5): 3078–3108, 2014. doi:10.1137/140959055

• J. Lu, G. Riedl, B. Kiniger and E. A. Werner:
  Three-dimensional tool design for steady-state electrochemical machining by continuous adjoint-based shape optimization
  Chemical Engineering Science, 106(0): 198–210, 2014. DOI:10.1016/j.ces.2013.11.040

• G. Peralta and G. Propst:
  Local well-posedness of a class of hyperbolic pde-ode systems on a bounded interval.
  Journal of Hyperbolic Differential Equations, 11(4): 705–747, 2014. doi: 10.1142/S0219891614500222

• A. Kimeswenger, O. Steinbach, G. Unger:
  Coupled finite and boundary element methods for fluid-solid interaction eigenvalue problems
  SIAM J. Numer. Anal., 52(5): 2400–2414, 2014. doi:10.1137/13093755x

• K. Bredies and M. Holler:
  Regularization of linear inverse problems with total generalized variation
  Journal of Inverse and Ill-posed Problems, 22(6): 871-913, 2014. doi: 10.1515/jip-2013-0068

• Holler, M. and Kunisch, K.:
  On infimal convolution of TV-Type functionals and applications to video and image reconstruction
  SIAM J. Imag. Sci., 7(4): 2258–2300, 2014. doi:10.1137/130948793

• M. Fornasier and F. Solombrino:
  Mean field optimal control.
  ESAIM Control, Optimization and Calculus of Variations, 20(4): 1123–1152, 2014. doi 10.1051/cocv/2014009

• F. Solombrino:
  Quasistatic evolution in perfect plasticity for general heterogeneous materials.
  Archive for Rational Mechanics and Analysis, 212(1): 283–330, 2014. doi: 10.1007/s00205-013-0703-z

• M. Bulicek and P. Pustejovska:
  Existence analysis for a model describing flow of an incompressible chemically reacting non-Newtonian fluid.
  SIAM J. Math. Anal. , 46(5): 3223–3240, 2014. doi:10.1137/130927589

• D. Meidner and T. Richter:
  Goal-oriented error estimation for the fractional step theta scheme
  Computational Methods in Applied Mathematics, 14(2): 203–230, 2014. DOI: 10.1515/cmam-2014-0002

• M. Bongini, M. Fornasier, F. Fröhlich, and L. Hagverd:
  Sparse control of force field dynamics
  International Conference on NETwork Games, COntrol and OPtimization. October 2014.

• E. Brivadis, A. Buffa, B. Wohlmuth, and L. Wunderlich:
  The influence of quadrature errors on isogeometric mortar methods.
  B. Jüttler and B. Simeon, eds., Isogeometric Analysis and Applications 2014, pp. 33–50. Springer International Publishing, 2015. doi 10.1007/978-3-319-23315-4_2

• M. Ehler, M. Fornasier, and J. Sigl:
  Quasi-linear compressed sensing
  Multiscale Modeling & Simulation., 12(2):725–754, 2014. doi:10.1137/130929928.

• M. A. F. Gsell and O. Steinbach:
  Domain decomposition methods for nonlinear transmission conditions
  PAMM, 14(1):851–852, 2014. doi:10.1002/pamm.201410406.

• D. Kraft:
  A Hopf-Lax formula for the level-set equation and applications to PDE- constrained shape optimisation
  Proceedings of MMAR 2014. IEEE Xplore, 2014. doi:10.1109/MMAR.2014.6957404.

2013

• Ch. Grossmann and M. Winkler:
  Mesh-independent convergence of penalty methods applied to optimal control with partial differential equations
  Optimization: A Journal of Mathematical Programming and Operations Research, 62(5): 629–647, 2013. doi: 10.1080/02331934.2012.655693

• K. Pieper and B. Vexler:
  A priori error analysis for discretization of sparse elliptic optimal control problems in measure space
  SIAM J. Control Optim., 51(4): 2788–2808, 2013. doi:10.1137/120889137

• B. Kiniger and B. Vexler:
  A priori error estimates for finite element discretizations of a shape optimization problem
  ESAIM: Mathematical Modelling and Numerical Analysis 47(6): 1733-1763, 2013. doi:10.1051/m2an/2013086

• C.T. Anh, Bao Q. Tang and L.T. Thuy:
  Regularity and fractal dimension of pullback attractors for a non-autonomous semilinear degenerate parabolic equation
  Glasgow Mathematical Journal, 55(02): 431-448, 2013. DOI 10.1017/S0017089512000663

• M. Artina, M. Fornasier, and F. Solombrino:
  Linearly Constrained Nonsmooth and Nonconvex Minimization
  SIAM J. Optim., 23(3): 1904–1937, 2013. doi:10.1137/120869079

• O. Bernard, A.-C. Boulanger, M.-O. Bristeau, and J. Sainte-Marie:
  A 2d model for hydrodynamics and biology coupling applied to algae growth simulations.
  ESAIM: Mathematical Modelling and Numerical Analysis, 47(05):1387–1412, 2013. doi: 10.1051/m2an/2013072

• A.-C. Boulanger, M.-O. Bristeau, and J. Sainte-Marie:
  Analytical solutions for the free surface hydrostatic euler equations.
  Communications in Mathematical Sciences, 11(4): 993–1010, 2013. doi: 10.4310/CMS.2013.v11.n4.a5

• M. Fornasier, R. March, and F. Solombrino:
  Existence of minimizers for the Mumford-Shah functional with singular operators and unbounded data.
  Annali di Matematica Pura ed Applicata, 192(3): 361–391, 2013. doi: 10.1007/s10231-011-0228-8

• M. Bulicek and P. Pustejovska:
  On existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power-law index.
  Journal of Mathematical Analysis and Applications, 402(1):157–166, 2013. doi: 10.1016/j.jmaa.2012.12.066

• D. Leykekhman, D. Meidner, and B. Vexler:
  Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints.
  Computational Optimization and Applications 55(3): 769-802, 2013. doi:10.1007/s10589-013-9537-8

2012

• K. Bredies, M. Holler:
  A Total-Variation-based JPEG decompression model
  SIAM J. Imaging Sci., 5(1), 366 - 393, 2012. doi:10.1137/110833531

• Ch. Grossmann and M. Winkler:
  A mesh-independence principle for quadratic penalties applied to semilinear elliptic boundary control
  Schedae Informaticae Vol. 21: 9-26, Kraków, 2012. doi: 10.4467/20838476SI.12.001.0811

• Bao Q. Tang:
  Existence and upper semi-continuity of uniform attractors for non-autonomous reaction diffusion equations on R^n
  Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 203, pp. 1-18.

• C.T. Anh, Bao Q. Tang and N.V. Thanh:
  Regularity of random attractors for stochastic semilinear degenerate parabolic equations
  Electronic Journal of Differential Equations, Vol. 2012, No. 207, pp. 1-22, published, 2012.

• T. Apel, J. Pfefferer, and A. Rösch:
  Finite element error estimates for Neumann boundary control problems on graded meshes.
  Computational Optimization and Applications, 52(1): 3–28, 2012. doi: 10.1007/s10589-011-9427-x

• A.-C. Boulanger, C. Cancès, H. Mathis, K. Saleh, and N. Seguin:
  Osamoal: optimized simulations by adapted models using asymptotic limits.
  ESAIM: Proceedings , vol. 38, pp. 183–201. EDP Sciences, 2012. doi: 10.1051/proc/201238010

• K. Krumbiegel, I. Neitzel, and A. Rösch:
  Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints.
  Comput. Optim. Appl., 52(1):181–207, 2012. doi: 10.1007/s10589-010-9357-z

• I. Neitzel and B. Vexler:
  A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems.
  Numer. Math., 120(2):345–386, 2012. doi: 10.1007/s00211-011-0409-9