- 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, Feb. 2018

- 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

- Bao Q. Tang:

**Close-to-equilibrium regularity for reaction-diffusion systems**^{}

Preprint No. IGDK-2017- 11; arXiv:1704.01287, April 2017

- 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

- 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

- 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

- 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

- L. Failer, T. Wick:

**Adaptive Time-Step Control for Nonlinear Fluid-Structure Interaction**

Preprint No. IGDK-2017-17; Oct. 2017

- 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.

- 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 - 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,

submitted to SIAM J. Appl. Math. - M. Bongini, M. Fornasier, F. Rossi, F. Solombrino:

**Mean-Field Pontryagin maximum principle**

Preprint No. IGDK-2015-10 - 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 - 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

- 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

- 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.

- Kristian Bredies and Martin Holler:

**A pointwise characterization of the subdifferential of the total variation functional**

Preprint No. IGDK-2012-01

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