- 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

- 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

- 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

- P. Swierczynski, B. Wohlmuth:

**Energy-corrected FEM and explicit time- stepping for parabolic problems**^{}

Preprint No. IGDK-2019-08; 2019, arXiv: 1903.06809

- J. Milz, M. Ulbrich:

**An approximation scheme for distributionally robust nonlinear optimization**

Preprint No. IGDK-2019-09; May 2019

- J. Haubner, M. Ulbrich, S. Ulbrich:

**Analysis of shape optimization problems for unsteady fluid-structure interaction**

Preprint No. IGDK-2019-10; July 2019

- D. Schaden, E. Ullmann:

**On multilevel best linear unbiased estimators**

Preprint No. IGDK-2019-11; May 2019, submitted to SIAM/ASA Journal on Uncertainty Quantification (JUQ)

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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. (30 pages), https://doi.org/10.1137/17M1135517

- 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,

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

- 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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