Preprints

2021

• J. Morgan and Bao Q. Tang:
  Global well-posedness for volume-surface reaction-diffusion systems
  Preprint No. IGDK-2021-01; Jan. 2021.

• Bayram C. Akdeniz, M. Egan and Bao Q. Tang:
  Stochastic Reaction and Diffusion Systems in Molecular Communications: Recent Results and Open Problems
  Preprint No. IGDK-2021-02; Jan. 2021.

• B. R. Graswald and G. Friesecke:
  Electronic wavefunction with maximally entangled MPS representation
  Preprint No. IGDK-2021-03; March 2021. arXiv 2103.15658. Published June 2021 in Eur. Phys. J. D 75, 176 (2021). https://doi.org/10.1140/epjd/s10053-021-00189-2

• J. Milz:
  Sample Average Approximations of Strongly Convex Stochastic Programs in Hilbert Spaces
  Preprint No. IGDK-2021-04; April 2021.

• J. Haubner, F. Neumann und M. Ulbrich:
  Topology optimization via density based approaches
  Preprint No. IGDK-2021-05; May 2021.

• C. Christof and G. Wachsmuth:
  Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-Variational Inequalities
  Preprint No. IGDK-2021-06; May 2021. arXiv 2105.05895

• G. Holler:
  How many samples are needed to reliably approximate the best linear estimator for a linear inverse problem?
  Preprint No. IGDK-2021-07; July 2021

• N. Behringer, D. Leykekhman, B. Vexler:
  Fully discrete best approximation type estimates in L^∞(I;L^2(Ω)^d) for finite element discretizations of the transient Stokes equations
  Preprint No. IGDK-2021-08, July 2021. arXiv 2107.11051
  

2020

• C. Christof and G. Müller:
  Multiobjective Optimal Control of a Non-Smooth Semilinear Elliptic Partial Differential Equation
  Preprint No. IGDK-2020-01; Jan. 2020. Published Mar. 2021 in ESAIM: COCV, Volume 27, 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
  Preprint No. IGDK-2020-02; Jan. 2020. Published Jan. 2021 in ESAIM: COCV, Volume 27, 2021 - Special issue in the honor of Enrique Zuazua's 60th birthday.

• J. Haubner, M. Siebenborn and M. Ulbrich:
  A Continuous Perspective On Modeling Of Shape Optimal Design Problems
  Preprint No. IGDK-2020-03; April 2020. arXiv:2004.06942. Published in SIAM J. Sci. Comput., 43(3), A1997–A2018. June 2021.

• K. Bredies and R. Huber:
  Convergence analysis of pixel-driven Radon and fanbeam transforms
  Preprint No. IGDK-2020-04; April 2020; arXiv:2004.02027

• G. Holler and K. Kunisch:
  Learning nonlocal regularization operators
  Preprint No. IGDK-2020-05; Jan. 2020; arXiv:2001.09092. Published in AIMS Online: doi: 10.3934/mcrf.2021003

• A. Einav, J. Morgan and Bao Q. Tang:
  Indirect diffusion effect in degenerate reaction-diffusion systems
  Preprint No. IGDK-2020-06; January, 2020. arXiv: 2001.00852v1

• D. Lan, D.T. Son, Bao Q. Tang and L.T. Thuy:
  Quasilinear parabolic equations with first order terms and L^1-data in moving domains
  Preprint No. IGDK-2020-07; March, 2020. arXiv:2003.00064

• Bayram C. Akdeniz, M. Egan and Bao Q. Tang:
  Equilibrium Signaling: Molecular Communication Robust to Geometry Uncertainties
  Preprint No. IGDK-2020-08; April, 2020

• J. Milz and M. Ulbrich
  An approximation scheme for distributionally robust PDE-constrained optimization
  Preprint No. IGDK-2020-09; June, 2020

• C. Christof and D. Hafemeyer
  On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems
  Preprint No. IGDK-2020-10; July, 2020. arXiv:2007.08250. Submitted to AIMS Journals.

• N. Behringer
  Improved Error Estimates for Optimal Control of the Stokes Problem with Pointwise Tracking in Three Dimensions
  Preprint No. IGDK-2020-11; March, 2020. Accepted for Mathematical Control and Related Fields, July 2020. Published in Mathematical Control & Related Fields, June 2021, 11(2): 313-328. doi: 10.3934/mcrf.2020038

• S. Marschke and W. Ring
  Identication of material parameters for a violin bridge from dynamic output data
  Preprint No. IGDK-2020-11; August, 2020.

• D. Hafemeyer, F. Manuel:
  A path-following inexact Newton method for PDE-constrained optimal control in BV
  Preprint No. IGDK-2020-12;COt. 2020; arXiv:2010.11628

• 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
  Preprint No. IGDK-2020-13; Nov. 2020.

• S.Behr, B. Graswald:
  Dissociation limit in Kohn-Sham density functional theory
  Preprint No. IGDK-2020-14; Nov. 2020.

• L. Desvillettes, V. Giunta, J. Morgan, Bao Quoc Tang:
  Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis
  Preprint No. IGDK-2020-15; Sept. 2020.

• M. Caro, B. Graswald:
  Necessary Criteria for Markovian Divisibility of Linear Maps
  Preprint No. IGDK-2020-16; Sept. 2020. ArXiv 2009.06666. Accepted for J. Math. Phys.

2019

• P. Jarde, M. Ulbrich:
  Existence of minimizers for optical flow based optimal control problems under mild regularity assumptions
  Preprint No. IGDK-2019-01; Feb. 2019.

• D. Hafemeyer, F. Mannel, I. Neitzel, B. Vexler:
  Finite element error estimates for one-dimensional elliptic optimal control by BV functions
  Preprint No. IGDK-2019-02; Feb. 2019, updated June 2019. Accepted June 2019 in AIMS: Mathematical Control & Related Fields; arXiV:1902.05893

• K. Fellner, J. Morgan, Bao Q. Tang:
  Global classical solutions to quadratic systems with mass control in arbitrary dimensions
  Preprint No. IGDK-2019-03; Feb. 2019; arXiV: 1808.01315
  accepted in Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire, DOI: https://doi.org/10.1016/j.anihpc.2019.09.003

• S. Belz, K. Bredies:
  Approximation of the Mumford-Shah functional by phase fields of bounded variation
  Preprint No. IGDK-2019-04; March 2019; arXiV:1902.05893. Published dec. 2020 in Analysis and Applications Vol. 19, No. 02

• S. Garreis, T. M. Surowiec, M. Ulbrich:
  An interior-point approach for solving risk-averse PDE-constrained optimization problems with coherent risk measures
  Preprint No. IGDK-2019-05; March 2019

• K. Pieper, D. Walter:
  Linear convergence of accelerated conditional gradient algorithms in spaces of measures
  Preprint No. IGDK-2019-06; April 2019, arXiv:1904.09218

• D. Leykekhman, B. Vexler, D. Walter:
  Numerical analysis of sparse initial data identification for parabolic problems
  Preprint No. IGDK-2019-07; May 2019, arXiv:1905.01226; Published May 2020 in ESAIM: Mathematical Modelling and Numerical Analysis.

• P. Swierczynski, B. Wohlmuth:
  Energy-corrected FEM and explicit time- stepping for parabolic problems
  Preprint No. IGDK-2019-08; 2019, arXiv: 1903.06809, accepted in Mathematical Modelling and Numerical Analysis, 2019

• J. Milz, M. Ulbrich:
  An approximation scheme for distributionally robust nonlinear optimization
  Preprint No. IGDK-2019-09; May 2019. Published in SIAM J. Optim., 2020, 3.

• J. Haubner, M. Ulbrich, S. Ulbrich:
  Analysis of shape optimization problems for unsteady fluid-structure interaction
  Preprint No. IGDK-2019-10; July 2019, updated Nov. 2019. Published March 2020: Inverse Problems, Volume 36, Number 3

• D. Schaden, E. Ullmann:
  On multilevel best linear unbiased estimators
  Preprint No. IGDK-2019-11; May 2019, Published in SIAM/ASA J. Uncert. Quantif. 8(2), pp. 601 - 635, 2020

• M. Brokate, K. Fellner, M. Lang-Batsching:
  Weak differentiability of the control-to-state mapping in a parabolic equation with hysteresis
  Preprint No. IGDK-2019-12; May 2019, arXiv: 1905.01863. Published Dec. 2019 in Nonlinear Differ. Equ. Appl. 26, 46.

• G. Friesecke, B. Graswald:
  Existence and nonexistence of HOMO-LUMO excitations in Kohn-Sham density functional theory
  Preprint No. IGDK-2019-13; June 2019

• C. Christof, G. Wachsmuth:
  On second-order optimality conditions for optimal control problems governed by the obstacle problem
  Preprint No. IGDK-2019-14; June 2019, arXiv: 1906.09065. Published June 2020 in Optimization.

• 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
  Preprint No. IGDK-2019-15; June 2019. Published Feb. 2020 in Computer Aided Geometric Design, Volume 78, March 2020, 101815

• S. Garreis, M. Ulbrich:
  A Fully Adaptive Algorithm for Optimal Control with and without Uncertainty. Part 1: An Inexact Trust-Region Algorithm and the Deterministic Case
  Preprint No. IGDK-2019-16; June 2019

• S. Garreis, M. Ulbrich:
  A Fully Adaptive Algorithm for Optimal Control with and without Uncertainty. Part 2: The Stochastic Case and Low-Rank Tensor Methods
  Preprint No. IGDK-2019-17; June 2019

• 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
  Preprint No. IGDK-2019-18; June 2019. Published July 2020 in IMA Journal of Numerical Analysis, draa032 DOI: 10.1093/imanum/draa032.

• N. Behringer, D. Leykekhman, B. Vexler:
  Localized pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra
  Preprint No. IGDK-2019-19; June 2019. Published 2020 in SIAM Journal on Numerical Analysis > Volume 58, Issue 3.

• O. Burkovska, K. Glau, M. Mahlstedt, and B. Wohlmuth:
  Complexity reduction for calibration to american options
  Preprint No. IGDK-2019-20; 2019. To appear in The Journal of Computational Finance.

• L. Failer and T. Richter:
  A parallel Newton multigrid framework for monolithic fluid-structure interactions
  Preprint No. IGDK-2019-21, 2019; arXiv: 1904.02401

• D. Schaden and E. Ullmann:
  Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators
  Preprint No. IGDK-2019-22, November 2019. Published in SIAM/ASA Journal on Uncertainty Quantification, Volume 9, Issue 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
  Preprint No. IGDK-2019-23, May 2019, accepted in the Proceedings of ACM NanoCom 2019 Conference in Dublin, Ireland.

• B. P. Cupps, J. Morgan, Bao Q. Tang:
  Uniform boundedness for reaction-diffusion systems with mass dissipation
  Preprint No. IGDK-2019-24, May 2019

• K. Fellner, J. Morgan, Bao Q. Tang:
  *Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions*
  Preprint No. IGDK-2019-25, June 2019
  accepted in Discrete and Continuous Dynamical Systems - Series S

• M. H. Duong, T. H. Dang-Ha, Bao Q. Tang, H. M. Tran
  Generalized potential games
  Preprint No. IGDK-2019-26, Aug 2019, arXiv:1908.06266

• M. Braukhoff, Bao Q. Tang
  Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
  Preprint No. IGDK-2019-27, Sept 2019, arXiv:1909.12547

• J. Morgan, Bao Q. Tang
  Boundedness for reaction-diffusion systems with Lyapunov functions and intermediate sum conditions
  Preprint No. IGDK-2019-28, Oct 2019, arXiv:1910.13873
  Published 2020 in Nonlinearity, Volume 33, Number 7. doi:10.1088/1361-6544/ab8772

2018

• L. Bonifacius, K. Pieper, B. Vexler:
  A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems
  Preprint No. IGDK-2018-01; ArXiv 1802.00611, Feb. 2018. Published in SIAM J. Control Optim., 57(1), 129–162. (34 pages), DOI: 10.1137/18M1166948.

• K. Fellner, M. Kniely:
  Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley-Read-Hall model
  Preprint No. IGDK-2018-02; March 2018, arXiv:1703.02881. Accepted in Journal of Eliptic and Parabolic Equations

• N. Behringer, D. Meidner, B. Vexler:
  Finite element error estimates for optimal control problems with pointwise tracking
  Preprint No. IGDK-2018-03; April 2018 Published in the Online Journal Pure and Applied Functional Analysis, Volume 4, Number 2, 177-204, 2019

• J. Pfefferer, M. Winkler:
  Finite element error estimates for normal derivatives on boundary concentrated meshes
  Preprint No. IGDK-2018-04; ArXiv 1804.05723, April 2018

• C. Christof:
  Sensitivity analysis and optimal control of obstacle-type evolution variational inequalities
  Preprint No. IGDK-2018-05, April 2018
  Published in SIAM Journal on Control and Optimization, Volume 57(1), pp. 192-218, 2019.

• T. Apel, J. Pfefferer, S. Rogovs, M. Winkler:
  L∞ -error estimates for Neumann boundary value problems on graded meshes
  Preprint No. IGDK-2018-06; ArXiv 1804.10904, April 2018

• I. Neitzel, K. Pieper, B. Vexler, D. Walter:
  A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems
  Preprint No. IGDK-2018-07; May 2018, Accepted for "Numerische Mathematik" in July 2019

• K. Pieper, Bao Q. Tang, P. Trautmann, D. Walter:
  Inverse point source location with the Helmholtz equation on a bounded domain
  Preprint No. IGDK-2018-08; May 2018, arXiv:1805.03310. Accepted for publication in Computational Optimization and Applications, May 2020.

• C. Kahle, K. F. Lam, J. Latz, E. Ullmann:
  Bayesian parameter identification in Cahn-Hilliard models for biological growth
  Preprint No. IGDK-2018-09; arXiv: 1805.03304, May 2018
  

• S. Engel, D. Hafemeyer, C. Münch, D. Schaden:
  Bayesian identification of sound sources with the Helmholtz equation
  Preprint No. IGDK-2018-10; arXiv: 1805.03304, May 2018
  Accepted in "Inverse Problems", March 2019 under the new title: An application of sparse measure valued Bayesian inversion to acoustic sound source identification , DOI: 10.1088/1361-6420/ab1497
  

• E.S. Daus, A. Jüngel, Bao Q. Tang:
  Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type
  Preprint No. IGDK-2018-11; arXiv: 1802.10274, June 2018
  to appear in Arch Rational Mech Anal (2019), DOI 10.1007/s00205-019-01439-9
  

• E.S. Daus, Bao Q. Tang:
  Trend to equilibrium of renormalized solutions to reaction-cross-diffusion systems
  Preprint No. IGDK-2018-12; arXiv: 1806.07103, June 2018, to appear in Applied Mathematics Letters. 88 (2019) 81-89
  

• K. Fellner, C. Münch:
  On hysteresis-reaction-diffusion systems: Singular fast-reaction limit derivation and nonlinear hysteresis feedback
  Preprint No. IGDK-2018-13; arXiv: 1807.01357, July 2018
  

• C. Christof, C. Haubner:
  Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem
  Preprint No. IGDK-2018-14; August 2018
  Published in Numerische Mathematik, 2020, doi: 10.1007/s00211-020-01117-z

• S. Engel, K. Kunisch:
  Optimal Control of the Linear Wave Equation by Time-Depending BV-Controls: A Semi-Smooth Newton Approach
  Preprint No. IGDK-2018-15; arXiv: 1808.10158, August 2018, to be published 2019 in Math. Control Relat. Fields
  

• L. Bonifacius, K. Kunisch:
  Time-optimality by distance-optimality for parabolic control systems
  Preprint No. IGDK-2018-16; arXiv: 1809.01965, September 2018
  

• L. Bonifacius, K. Pieper, B. Vexler:
  Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
  Preprint No. IGDK-2018-17; arXiv: 1809.04886, September 2018. Published in SIAM J. Control and Optim., 2019, Vol. 57, No. 3 : pp. 1730-1756, DOI: 10.1137/18M1213816
  

• H. Bonart, C. Kahle, J.-U. Repke:
  Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model
  Preprint No. IGDK-2018-18; arXiv: 1809.06689, September 2018
  

• S. Dohr, C. Kahle, S. Rogovs, P. Swierczynski:
  A FEM for an optimal control problem subject to the fractional Laplace equation
  Preprint No. IGDK-2018-19; ! arXiv:1809.10177, September 2018. Accepted September 2019, Calcolo (2019) 56: 37, DOI 10.1007/s10092-019-0334-3
  

• U. Khristenko, L. Scarabosio, P. Swierczynski, E. Ullmann, B. Wohlmuth:
  Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields
  Preprint No. IGDK-2018-20; ! arXiv: 1809.07570, September 2018
  

• C. Christof:
  Gradient-based solution algorithms for a class of bilevel optimization and optimal control problems with a non-smooth lower level
  Preprint No. IGDK-2018-21; November 2018. Published in SIAM J. Optim., 30(1), 290–318, doi: 10.1137/18M1225707

• S. Dohr, J. Zapletal, G. Of, M. Merta, M. Kravcenko:
  A parallel space-time boundary element method for the heat equation
  Preprint No. IGDK-2018-22; November 2018
  Published in"Computers and Mathematics with Applications".
  

• S. Dohr, M. Merta, G. Of, O. Steinbach, J. Zapletal:
  A parallel solver for a preconditioned space-time boundary element method for the heat equation
  Preprint No. IGDK-2018-23; November 2018
  Submitted for publication in the proceedings of the 25th International Conference on Domain Decomposition Methods.
  

• S. Dohr, O. Steinbach:
  Preconditioned space-time boundary element methods for the one-dimensional heat equation
  Preprint No. IGDK-2018-24; November 2018
  Accepted for publication in the proceedings of the 24th International Conference on Domain Decomposition Methods.
  

• Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Q. Tang:
  Energy conservation for inhomogeneous incompressible and compressible Euler equations.
  Preprint No. IGDK-2018-25, arXiv:1808.10297, August 2018

• K. Fellner, Bao Q. Tang:
  Global classical solutions to quadratic systems with mass conservation in arbitrary dimensions
  Preprint No. IGDK-2018-26, arXiv:1808.01315; August 2018. Published in Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 37 no.2 (2020) 281—307

• Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Q. Tang:
  Energy equalities for compressible Navier-Stokes equations.
  Preprint No. IGDK-2018-27, arXiv:1810.10264; October 2018. to appear in Nonlinearity.32 (2019) 4206-4231 ,DOI:10.1088/1361-6544/ab28ae

• 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
  Preprint No. IGDK-2018-28; November 2018, arXiv: 1803.11058, Online in AIMS: Discrete and Continuous Dynamical Systems – Series B.

• D. Hafemeyer, C. Kahle, J. Pfefferer:
  Finite element error estimates in L2 for regularized discrete approximations to the obstacle problem
  Preprint No. IGDK-2018-29; arXiv: 1811.09260, December 2018. Published in J. Numer. Math. (2019), DOI: 10.1007/s00211-019-01081-3

• S. Dohr, K. Niino, O. Steinbach:
  Space-time boundary element methods for the heat equation
  Preprint No. IGDK-2018-30

• B. Azmi and K. Kunisch:
  Analysis and performance of the Barzilai-Borwein step-size rules for optimization problems in Hilbert spaces
  Preprint No. IGDK-2018-31. Submitted, arXiv: 1806.10974

• B. Azmi and K. Kunisch:
  A hybrid finite-dimensional RHC for stabilization of time-varying parabolic equations
  Preprint No. IGDK-2018-32, Submitted, arXiv: 1901.02236

• K. Kunisch, A. Neic, G. Plank, and P. Trautmann:
  Inverse localization of earliest cardiac activiation sites from activation maps based on the viscous eikonal equation
  Preprint No. IGDK-2018-33, submitted to Journal of Mathematical Biology, 2018

2017

• C. Kühn, C. Münch:
  Generalized play hysteresis operators as limits of fast-slow systems
  Preprint No. IGDK-2017-01; ArXiv, Jan. 2017
  Published in SIAM J. Appl. Dyn. Syst., 16(3), 1650–1685 in 2017. DOI: 10.1137/17M1110584
  

• P. Trautmann, B. Vexler, A. Zlotnik:
  Finite element error analysis for measure-valued optimal control problems governed by the 1D generalized wave equation
  Preprint No. IGDK-2017-02; Feb. 2017
  

• H. Garcke, M. Hinze, C. Kahle, K. F. Lam:
  A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint
  Preprint No. IGDK-2017-03; ArXiv, March 2017
  

• H. Antil, J. Pfefferer, S. Rogovs:
  Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization
  Preprint No. IGDK-2017-04; ArXiv, March 2017
  

• L. Bonifacius, I. Neitzel:
  Second order optimality conditions for optimal control of quasilinear parabolic equations
  Preprint No. IGDK-2017-05; March 2017
  Published in 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, J. Pfefferer, M. Winkler:
  Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains
  Preprint No. IGDK-2017-06; March 2017
  

• T. Apel, M. Mateos, J. Pfefferer, A. Rösch:
  Error estimates for Dirichlet control problems in polygonal domains
  Preprint No. IGDK-2017-07; ArXiv, April 2017
  Published in 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

• C. Münch:
  Optimal control of reaction-diffusion systems with hysteresis
  Preprint No. IGDK-2017-08; ArXiv, May 2017
  

• C. Kahle, K.F. Lam:
  Parameter identification via optimal control for a Cahn--Hilliard-chemotaxis system with a variable mobility
  Preprint No. IGDK-2017-09; ArXiv, July 2017
  

• Bao Q. Tang:
  Global classical solutions to reaction-diffusion systems in one and two dimensions
  Preprint No. IGDK-2017-10; arXiv:1702.07003, Feb. 2017; published in Communications in Mathematical Sciences. 16.2 (2018) 411-423)
  

• Bao Q. Tang:
  Close-to-equilibrium regularity for reaction-diffusion systems
  Preprint No. IGDK-2017- 11; arXiv:1704.01287, April 2017. Published Dec. 2017 in Journal of Evolution Equations https://doi.org/10.1007/s00028-017-0422-2)
  

• K. Fellner, Bao Q. Tang:
  Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems
  Preprint No. IGDK-2017-12; arXiv:1708.01427, August 2017; published 2018 in open access Zeitschrift für angewandte Mathematik und Physik. 69.3 (2018) (30 pages))
  

• K. Fellner, E. Latos, Bao Q. Tang:
  Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion
  Preprint No. IGDK-2017-13; arXiv:1711.02897, Nov. 2017
  accepted in Journal of Evolution Equations, DOI:10.1007/s00028-019-00543-3

• K. Fellner, M. Kniely:
  On the entropy method and exponential convergence to equilibrium for a recombination-drift-diffusion system with self-consistent potential
  Preprint No. IGDK-2017-14; Nov. 2017
  Published in Applied Mathematics Letters, Volume 79, May 2018, Pages 196-204; DOI: 10.1016/j.aml.2017.12.017

• K. Fellner, M. Kniely:
  Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley–Read–Hall model
  Preprint No. IGDK-2017-15; Nov. 2017
  

• D. Meidner, J. Pfefferer, K. Schürholz, B. Vexler:
  hp-finite elements for fractional diffusion
  Preprint No. IGDK-2017-16; June 2017; Published 2018 in SIAM J. Numer. Anal., 56(4), 2345–2374, doi: 10.1137/17M1135517
  

• L. Failer, T. Wick:
  Adaptive time-step control for nonlinear fluid-structure interaction
  Preprint No. IGDK-2017-17; Oct. 2017
  

2016

• S. Garreis, M. Ulbrich:
  Constrained optimization with low-rank tensors and applications to parametric problems with PDEs
  Preprint No. IGDK-2016-01
  published in SIAM Journal on Scientific Computing, 2017, Volume 39(1), A25–A54, DOI:10.1137/16M1057607

• M. Fischer, F. Lindemann, M. Ulbrich, and S. Ulbrich:
  Fréchet differentiability of unsteady incompressible navier-stokes flow with respect to domain variations of low regularity by using a general analytical framework
  Preprint No. IGDK-2016-02
  

• C. Münch:
  Global existence and Hadamard differentiability of hysteresis-reaction-diffusion systems
  Preprint No. IGDK-2016-03; ArXiv, Dec. 2016
  Published in J. Evol. Equ., 2017, DOI: 10.1007/s00028-017-0419-x

• L. Bonifacius and K. Pieper:
  Strong stability of linear parabolic time-optimal control problems
  Preprint No. IGDK-2016-04
  To be published in ESAIM: Control, Optimisation and Calculus of Variations
  

• L. Desvillettes, K. Fellner, Bao Q. Tang,
  Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks
  Preprint No. IGDK-2016-05; ArXiv,Nov. 2016
  Published in SIAM Journal on Mathematical Analysis. 49 (2017), pp. 2666–2709, DOI: 10.1137/16M1073935
  

• H. Garcke, M. Hinze, C. Kahle:
  Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model
  Preprint No. IGDK-2016-06; ArXiv, Dec. 2016
  

• K. Fellner, Bao Q. Tang:
  Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems
  Preprint No. IGDK-2016-07; ArXiv, Dec. 2016
  Accepted in "Proceedings of the 4th meeting Particle Systems and PDEs", Braga, Protugal, December 2016, Springer Proceedings in Mathematics and Statistics.

2015

• O. Steinbach, B. Wohlmuth, L. Wunderlich:
  Trace and flux a priori error estimates in finite element approximations of Signorni-type problems
  Preprint No. IGDK-2015-01,
  published online in IMA Journal of Numerical Analysis, 2015. DOI 10.1093/imanum/drv039

• F. Henneke, M. Liebmann:
  A generalized Suzuki-Trotter type method in optimal control of coupled Schrödinger equations
  Preprint No. IGDK-2015-02

• D. Kraft:
  Computing the Hausdorff distance of two sets from their signed distance functions
  Preprint No. IGDK-2015-03. Published 2020 in International Journal of Computation Geometry and Applications. DOI:10.1142/S0218195920500028

• D. Leykekhman, B. Vexler:
  Finite element pointwise results on convex polyhedral domains
  Preprint No. IGDK-2015-04,
  published in SIAM Journal on Numerical Analysis, 54(2): 561–587, 2016. DOI:10.1137/15M1013912

• G. Peralta, G. Propst:
  Stabilization of the wave equation with acoustic and delay boundary conditions
  Preprint No. IGDK-2015-05

• G. Peralta:
  Stabilization of viscoelastic wave equations with distributed or boundary delay
  Preprint No. IGDK-2015-06

• G. Peralta:
  A fluid-structure interaction model with interior damping and delay in the structure
  Preprint No. IGDK-2015-07

• G. Peralta, G. Propst:
  Nonlinear and linear hyperbolic systems with dynamic boundary conditions
  Preprint No. IGDK-2015-08,
  to be published in Bulletin Brazilian Mathematical Society, December 2016.

• G. Albi, M. Bongini, E. Cristiani, D. Kalise:
  Invisible control of self-organizing agents leaving unknown environments
  Preprint No. IGDK-2015-09,
  published in SIAM J. Appl. Math., Volume 76, Nr. 4, pp.1683-1710, 2016

• M. Bongini, M. Fornasier, F. Rossi, F. Solombrino:
  Mean-Field Pontryagin maximum principle
  Preprint No. IGDK-2015-10, submitted to J. Optim. Theory Appl., Volume 175, Nr. 1, pp. 1 - 38, 2017, DOI:10.1007/s10957-017-1149-5

• C. Clason, A. Rund, K. Kunisch, R. Barnard:
  A convex analysis approach to multiswitching control of partial differential equations
  Preprint No. IGDK-2015-11

• I. Neitzel, T. Wick, W. Wollner:
  An optimal control problem governed by a regularized phase-field fracture propagation model
  Preprint No. IGDK-2015-12. Published in SIAM J. Control Optim., 55(4), 2271–2288. (18 pages)

• M. Mateos, I. Neitzel:
  Dirichlet control of elliptic state constrained problems
  Preprint No. IGDK-2015-13,
  published online in Computational Optimization and Applications, 2015. DOI 10.1007/s10589-015-9784-y

• F. Henneke, B. Q. Tang:
  Fast reaction limit of a volume-surface reaction-diffusion systems towards a heat equation with dynamical boundary conditions
  Preprint No. IGDK-2015-14, accepted for publication in the journal Asymptotic Analysis, May 2016.

• K. Fellner, W. Prager, B. Tang:
  The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks
  Preprint No. IGDK-2015-15
  Accepted in "Kinetics and Related Models"

• K. Fellner, B. Q. Tang:
  Explicit exponential convergence to equilibrium for mass action reaction-diffusion systems
  Preprint No. IGDK-2015-16
  Accepted in "Nonlinear Analysis: Theory, Methods and Applications" under a slightly different name Explicit exponential convergence to equilibrium for nonlinear reaction-diffusion systems with detailed balance condition

• A.-C. Boulanger, P. Trautmann:
  Sparse optimal control of the Korteweg-de Vries-Burgers equation on a bounded domain
  Preprint No. IGDK-2015-17

• D. Kraft:
  A Hopf-Lax formula for the time evolution of the level-set equation and a new approach to shape sensitivity analysis
  Preprint No. IGDK-2015-18

• M. Brokate, K. Fellner, M. Lang-Batsching:
  Weak differentiability of the control-to-state mapping in a parabolic control problem with hysteresis
  Preprint No. IGDK-2015-19

• D. Kraft:
  Measure-theoretic properties of level sets of distance functions
  Preprint No. IGDK-2015-20,
  published online in the Journal of Geometric Analysis, 2015. DOI 10.1007/s12220-015-9648-9

• G. Friesecke, F. Henneke, K. Kunisch;
  Sparse control of quantum systems
  Preprint No. IGDK-2015-21
  Published in 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.2018007

• K. Bredies, M. Holler:
  A TGV-based framework for variational image decompression, zooming and reconstruction. Part I: Analytics
  Preprint No. IGDK-2015-22,
  published in 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
  Preprint No. IGDK-2015-23,
  published in SIAM Journal on Imaging Sciences, 8(4): 2851–2886, 2015. DOI:10.1137/15M1023877

• B. Kiniger, W. Ring:
  Eigenvalue optimization for the transmission problem
  Preprint No. IGDK-2015-24

• M. Liebmann, D. Sattlegger:
  Parallel algorithms for semiclassical quantum dynamics
  Preprint No. IGDK-2015-25

• H. Egger, K. Fellner, J.-F. Pietschmann, B. Q. Tang:
  A finite element method for volume-surface reaction-diffusion systems
  Preprint No. IGDK-2015-26; Published in Applied Mathematics and Computation. 336 (2018) 351-367. under the new title "Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology"
  

• B. Azmi, K. Kunisch:
  On the stabilizability of the Burger's equation by receding horizon control
  Preprint No. IGDK-2015-27,
  published in SIAM Journal on Control Optim., 54(3): 1378–1405, 2016. DOI:10.1137/15M1030352.

• L. Failer, D. Meidner, B. Vexler:
  Optimal control of a linear unsteady fluid-structure interaction problem
  Preprint No. IGDK-2015-28

• M. Artina, F. Cagnetti, M. Fornasier, F. Solombrino
  Linearly constrained evolutions of critical points and an application to cohesive fractures
  Preprint No. IGDK-2015-29
  Published in "Mathematical Models and Methods in Applied Sciences", Feb. 2017, DOI: 10.1142/S0218202517500014.

• D. Kraft:
  Self-consistent gradient flow for shape optimisation
  Preprint No. IGDK-2015-30
  published online in Optimization Methods and Software, 2016. DOI: 10.1080/10556788.2016.1171864

• D. Kraft:
  Geometric constraints in descent methods for shape optimisation
  Preprint No. IGDK-2015-31
  Published in ESAIM: M2AN, Vol 51, Num 6, 2017, 2193-2212, DOI: 10.1051/m2an/2017020

2014

• K. Fellner, E. Latos, B. Tang:
  Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling
  Preprint No. IGDK-2014-01

• Thomas Apel, Olaf Steinbach, Max Winkler:
  Error estimates for Neumann boundary control problems with energy regularization
  Preprint No. IGDK-2014-02

• O. Burkovska, B. Haasdonk, J. Salomon, B. Wohlmuth:
  Reduced basis methods for pricing options with the Black-Scholes and Heston model
  Preprint No. IGDK-2014-03,
  published in SIAM Journal on Financial Mathematics, 6(1): 685-712, 2015. DOI: 10.1137/140981216

• B. Tang, K. Fellner, S. Rosenberger:
  A reaction-diffusion system modelling asymmetric stem-cell division: existence, uniqueness, numerical simulation and rigorous quasi-steady-state approximation
  Preprint No. IGDK-2014-04
  accepted in Communications in Mathematical Sciences under title "Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system".

• T. Apel, J. Pfefferer, and M. Winkler:
  Local mesh refinement for the discretisation of Neumann boundary control problems on polyhedra
  Preprint No. IGDK-2014-05
  published online in Journal Math. Methods Appl. Sci., 2015. DOI: 10.1002/mma.3566

• M. Keuthen, D. Kraft:
  Shape optimization of a breakwater
  Preprint No. IGDK-2014-06,
  published online in Inverse Problems in Science and Engineering, 2015, DOI: 10.1080/17415977.2015.1077522

• K. Kunisch, K. Pieper, A. Rund:
  Time optimal control for a reaction diffusion system arising in cardiac electrophysiology - a monolithic approach
  Preprint No. IGDK-2014-07,
  Published online in ESAIM: Mathematical Modelling and Numerical Analysis, 2015. DOI:10.1051/m2an/2015048

• K. Fellner, V. Kovtunenko:
  A singularly perturbed nonlinear Poisson–Boltzmann equation: uniform and super-asymptotic expansions
  Preprint No. IGDK-2014-08,
  published in Mathematical Methods in the Applied Sciences, 38(16): 3575–3586, 2015. DOI 10.1002/mma.3593

• K. Kunisch, Ph. Trautmann, B. Vexler:
  Optimal control of the undamped linear wave equation with measure valued controls
  Preprint No. IGDK-2014-09,
  published in SIAM Journal on Control and Optimization (SICON), 54(3): 1212–1244, 2016. DOI 10.1137/141001366

• M. Kniely, C. Gattringer:
  Dual simulation of finite density lattice QED at large mass
  Preprint No. IGDK-2014-10

• C. Böhm, M. Ulbrich:
  A semismooth Newton-cg method for constrained parameter identification in seismic tomography
  Preprint No. IGDK-2014-11,
  published in SIAM Journal on Scientific Computing, 37(5): S334-S364, 2015. DOI 10.1137/140968331

• F. Solombrino:
  A priori time-regularity estimates and a simplified proof of existence in perfect plasticity
  Preprint No. IGDK-2014-12,
  published online in "Mathematische Nachrichten", May 2015, DOI: 10.1002/mana.201300110

• G. Peralta, G. Propst:
  Local-in-time classical solutions to a model of flow in an elastic tube
  Preprint No. IGDK-2014-13

• G. Peralta, G. Propst:
  Well-posedness and regularity of linear hyperbolic systems with dynamic boundary conditions
  Preprint No. IGDK-2014-14,
  to be published in Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol 146, 2016.

• G. Peralta:
  Uniform exponential stability of a fluid-plate interaction model due to thermal effects
  Preprint No. IGDK-2014-15

• T. Breiten, K. Kunisch:
  Compensator design for the monodomain equations
  Preprint No. IGDK-2014-16,
  accepted in Sept 2015 to appear in ESAIM: Control, Optimisation and Calculus of Variations. DOI dx.doi.org/10.1051/cocv/2015047

• K. Ito, K. Kunisch:
  A sequential method for mathematical programming
  Preprint No. IGDK-2014-17

• S. Keeling, K. Kunisch
  Robust l1 approaches to computing the geometric median and principal and independent components
  Preprint No. IGDK-2014-18

• K. Kunisch, Z. Rao:
  Minimal time problem with impulsive controls
  Preprint No. IGDK-2014-19,
  published online in Applied Mathematics & Optimization, 2015. DOI 10.1007/s00245-015-9324-2.

• E. Brivadis, A. Buffa, B. Wohlmuth, L. Wunderlich:
  The influence of quadrature errors on isogeometric mortar methods
  Preprint No. IGDK-2014-20

2013

• Marco Artina, Massimo Fornasier, Steffen Peter:
  Damping noise-folding and enhanced support recovery in compressed sensing
  Preprint No. IGDK-2013-01,
  published in IEEE Transactions on Signal Processing, 63(22): 5990 - 6002, 2015. DOI 10.1109/TSP.2015.2461521

• B. Tang:
  Regularity of random attractors for stochastic reaction diffusion equations on unbounded domains
  Preprint No. IGDK-2013-02,
  published in Stochastics and Dynamics, 16(01): 1650006, 2016. DOI: 10.1142/S0219493716500064

• B. Kiniger:
  A transformation approach in shape optimization: Existence and regularity results
  Preprint No. IGDK-2013-03,
  published in 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
  Preprint No. IGDK-2013-04,
  accepted for publication in Quarterly of Applied Mathematics 1/2016.

2012

• Kristian Bredies and Martin Holler:
  A pointwise characterization of the subdifferential of the total variation functional
  Preprint No. IGDK-2012-01