Publications of Martin Stoll

Stoll, M. & Breiten, T. (2015)A low-rank in time approach to PDE-constrained optimizationSIAM Journal on Scientific Computing, 37 (1), B1–B29doi: 10.1137/130926365.

Yücel, H., Stoll, M., & Benner, P. (2015)A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction TermsComputers and Mathematics with Applications, 70 (10), 2414–2431doi: 10.1016/j.camwa.2015.09.006.

Bosch, J., Kay, D., Stoll, M., & Wathen, A. J. (2014)Fast Solvers for Cahn-Hilliard InpaintingSIAM Journal on Imaging Sciences, 7 (1), 67–97doi: 10.1137/130921842.

Bosch, J., Stoll, M., & Benner, P. (2014)Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elementsJournal of Computational Physics, 262, 38–57doi: 10.1016/j.jcp.2013.12.053.

Stoll, M. (2014)One-shot solution of a time-dependent time-periodic PDE-constrained optimization problemIMA Journal of Numerical Analysis, 34 (4), 1554–1577doi: 10.1093/imanum/drt019.

Stoll, M., Pearson, J. W., & Wathen, A. J. (2014)Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty functionNumerical Linear Algebra with Applications, 21 (1), 81–97doi: 10.1002/nla.1863.

Benner, P., Saak, J., Stoll, M., & Weichelt, H. K. (2013)Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes FlowSIAM Journal on Scientific Computing, 35, S150–S170doi: 10.1137/120881312.

Pearson, J. W. & Stoll, M. (2013)Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical ProcessesSIAM Journal on Scientific Computing, 35 (5), B987–B1009doi: 10.1137/120892003.

Stoll, M. & Wathen, A. (2013)All-at-once solution of time-dependent Stokes controlJournal of Computational Physics, 232 (1), 498–515doi: 10.1016/j.jcp.2012.08.039.

Yücel, H., Stoll, M., & Benner, P. (2013)Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated ModelsComputers and Chemical Engineering, 58, 278–287doi: 10.1016/j.compchemeng.2013.07.011.

Blank, L., Sarbu, L., & Stoll, M. (2012)Preconditioning for Allen-Cahn variational inequalities with non-local constraintsJournal of Computational Physics, 231 (16), 5406–5420doi: 10.1016/j.jcp.2012.04.035.

Pearson, J. W., Stoll, M., & Wathen, A. J. (2012)Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization ProblemsSIAM Journal on Matrix Analysis and Applications, 33 (4), 1126–1152doi: 10.1137/110847949.

Stoll, M. (2012)A Krylov-Schur approach to the truncated SVDLinear Algebra and its Applications, 436 (8), 2795–2806doi: 10.1016/j.laa.2011.07.022.

Benner, P., Saak, J., Stoll, M., & Weichelt, H. K. (2014)Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow ProblemsSystem Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers11–20Berlin Heidelberg: Springerdoi: 10.1007/978-3-662-45504-3_2.

Benner, P. & Stoll, M. (2013)Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive ControlIn: IFAC Proceedings Volumes, 139–143doi: 10.3182/20130925-3-FR-4043.00062.

Pearson, J. W., Stoll, M., & Wathen, A. J. (2012)Robust Iterative Solution of a Class of Time-Dependent Optimal Control ProblemsIn: Proceedings in Applied Mathematics and Mechanics, 3–6doi: 10.1002/pamm.201210002.

Benner, P., Onwunta, A., & Stoll, M.Fast Solvers for Optimal Control Problems Constrained by PDEs with Uncertain InputsPresented at: Computational Methods in Applied Mathematics (CMAM-7)Jyväskylä, Finland, July 31, 2016.

Benner, P., Onwunta, A., & Stoll, M.Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain InputsPresented at: 87th annual conference of the International Association of Applied Mathematics and MechanicsBraunschweig, Germany, March 7, 2016.

Onwunta, A., Benner, P., & Stoll, M.Efficient solvers for optimal control problems constrained by PDEs with uncertain inputsPresented at: 20th Conference of the International Linear Algebra Society (ILAS)Leuven, Belgium, July 11, 2016.

Onwunta, A., Benner, P., & Stoll, M.Efficient solvers for optimal control problems constrained by PDEs with uncertain inputsPresented at: Workshop on Direct and Inverse Problems for PDEs with Random CoefficientsBerlin, Germany, November 9, 2015.