Publications of Martin Stoll

Journal Article (33)

2021
Journal Article
De Falco, P., Weinkamer, R., Wagermaier, W., Li, C., Snow, T., Terrill, N. J., Gupta, H. S., Goyal, P. K., Stoll, M., Benner, P., & Fratzl, P. (2021)Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine BoneJournal of Applied Crystallography, 54 (2), 486–497doi: 10.1107/S1600576721000881.
MPG.PuRe
DOI
publisher-version
2019
Journal Article
Benner, P., Onwunta, A., & Stoll, M. (2019)A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue ProblemsComputational Methods in Applied Mathematics, 19 (1), 5–22doi: 10.1515/cmam-2018-0030.
MPG.PuRe
DOI
pre-print
publisher-version
2018
Journal Article
Benner, P., Qiu, Y., & Stoll, M. (2018)Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse ProblemsSIAM/ASA Journal on Uncertainty Quantification, 6 (2), 965–989doi: 10.1137/17M1121342.
MPG.PuRe
DOI
publisher-version
Journal Article
Bosch, J., Kahle, C., & Stoll, M. (2018)Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes systemCommunications in Computational Physics, 23, 603–628doi: 10.4208/cicp.OA-2017-0037.
MPG.PuRe
DOI
pre-print
Journal Article
Bosch, J., Klamt, S., & Stoll, M. (2018)Generalizing diffuse interface methods on graphs: non-smooth potentials and hypergraphsSIAM Journal on Applied Mathematics, 78 (3), 1350–1377doi: 10.1137/17M1117835.
MPG.PuRe
DOI
publisher-version
Journal Article
Yücel, H., Stoll, M., & Benner, P. (2018)Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion EquationsElectronic Transactions on Numerical Analysis, 48, 407–434doi: 10.1553/etna_vol48s407.
MPG.PuRe
DOI
Journal Article
Zhao, W., Hon, Y.-C., & Stoll, M. (2018)Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problemsComputers & Mathematics with Applications, 75 (5), 1685–1704doi: 10.1016/j.camwa.2017.11.030.
MPG.PuRe
DOI
2017
Journal Article
Dolgov, S. & Stoll, M. (2017)Low-Rank Solution to an Optimization Problem Constrained by the Navier-Stokes EquationsSIAM Journal on Scientific Computing, 39 (1), A255–A280doi: 10.1137/15M1040414.
MPG.PuRe
DOI
publisher-version
Journal Article
Porcelli, M., Simoncini, V., & Stoll, M. (2017)Preconditioning PDE-constrained optimization with L1-sparsity and control constraintsComputers & Mathematics with Applications, 74 (5), 1059–1075doi: 10.1016/j.camwa.2017.04.033.
MPG.PuRe
DOI
Journal Article
Zhao, W. & Stoll, M. (2017)Stability on interpolation of scattered data via kernelsNeural, Parallel and Scientific Computations, 25, 45–60.
MPG.PuRe
2016
Journal Article
Barker, A. T., Rees, T., & Stoll, M. (2016)A fast solver for an H1 regularized PDE-constrained optimization problemCommunications in Computational Physics, 19 (1), 143–167doi: 10.4208/cicp.190914.080415a.
MPG.PuRe
DOI
Journal Article
Benner, P., Dolgov, S., Onwunta, A., & Stoll, M. (2016)Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random DataComputer Methods in Applied Mechanics and Engineering, 304, 26–54doi: 10.1016/j.cma.2016.02.004.
MPG.PuRe
DOI
post-print
Journal Article
Benner, P., Onwunta, A., & Stoll, M. (2016)Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain InputsSIAM Journal on Matrix Analysis and Applications, 37 (2), 491–518doi: 10.1137/15M1018502.
MPG.PuRe
DOI
publisher-version
Journal Article
Breiten, T., Simoncini, V., & Stoll, M. (2016)Low-Rank Solvers for Fractional Differential EquationsElectronic Transactions on Numerical Analysis, 45, 107–132doi: 10.17617/2.2270973.
MPG.PuRe
DOI
External
Journal Article
Dolgov, S., Pearson, J. W., Savostyanov, D. V., & Stoll, M. (2016)Fast tensor product solvers for optimization problems with fractional differential equations as constraintsApplied Mathematics and Computation, 273, 604–623doi: 10.1016/j.amc.2015.09.042.
MPG.PuRe
DOI
publisher-version
Journal Article
Stoll, M., Pearson, J. W., & Maini, P. K. (2016)Fast solvers for optimal control problems from pattern formationJournal of Computational Physics, 304, 27–45doi: 10.1016/j.jcp.2015.10.006.
MPG.PuRe
DOI
post-print
2015
Journal Article
Barker, A. T. & Stoll, M. (2015)Domain decomposition in time for PDE-constrained optimizationComputer Physics Communications, 197, 136–143doi: 10.1016/j.cpc.2015.08.025.
MPG.PuRe
DOI
Journal Article
Benner, P., Onwunta, A., & Stoll, M. (2015)Low-Rank Solution of Unsteady Diffusion Equations with Stochastic CoefficientsSIAM/ASA Journal on Uncertainty Quantification, 3 (1), 622–649doi: 10.1137/130937251.
MPG.PuRe
DOI
publisher-version
Journal Article
Bosch, J. & Stoll, M. (2015)A fractional inpainting model based on the vector-valued Cahn–Hilliard equationSIAM Journal on Imaging Sciences, 8 (4), 2352–2382doi: 10.1137/15M101405X.
MPG.PuRe
DOI
publisher-version
Journal Article
Stoll, M. & Bosch, J. (2015)Preconditioning for vector-valued Cahn-Hilliard equationsSIAM Journal on Scientific Computing, 37 (5), S216–S243doi: 10.1137/14M0973633.
MPG.PuRe
DOI
publisher-version
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