Publications of Martin Stoll

Journal Article (18)

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. et al.; Fratzl, P.: Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography 54 (2), pp. 486 - 497 (2021)
2019
Journal Article
Benner, P.; Onwunta, A.; Stoll, M.: A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 19 (1), pp. 5 - 22 (2019)
2018
Journal Article
Benner, P.; Qiu, Y.; Stoll, M.: Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. SIAM/ASA Journal on Uncertainty Quantification 6 (2), pp. 965 - 989 (2018)
Journal Article
Bosch, J.; Kahle, C.; Stoll, M.: Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes system. Communications in Computational Physics 23, pp. 603 - 628 (2018)
Journal Article
Bosch, J.; Klamt, S.; Stoll, M.: Generalizing diffuse interface methods on graphs: non-smooth potentials and hypergraphs. SIAM Journal on Applied Mathematics 78 (3), pp. 1350 - 1377 (2018)
2017
Journal Article
Dolgov, S.; Stoll, M.: Low-Rank Solution to an Optimization Problem Constrained by the Navier-Stokes Equations. SIAM Journal on Scientific Computing 39 (1), pp. A255 - A280 (2017)
2016
Journal Article
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data. Computer Methods in Applied Mechanics and Engineering 304, pp. 26 - 54 (2016)
Journal Article
Benner, P.; Onwunta, A.; Stoll, M.: Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Journal on Matrix Analysis and Applications 37 (2), pp. 491 - 518 (2016)
Journal Article
Dolgov, S.; Pearson, J. W.; Savostyanov, D. V.; Stoll, M.: Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Applied Mathematics and Computation 273, pp. 604 - 623 (2016)
Journal Article
Stoll, M.; Pearson, J. W.; Maini, P. K.: Fast solvers for optimal control problems from pattern formation. Journal of Computational Physics 304, pp. 27 - 45 (2016)
2015
Journal Article
Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM/ASA Journal on Uncertainty Quantification 3 (1), pp. 622 - 649 (2015)
Journal Article
Bosch, J.; Stoll, M.: A fractional inpainting model based on the vector-valued Cahn–Hilliard equation. SIAM Journal on Imaging Sciences 8 (4), pp. 2352 - 2382 (2015)
Journal Article
Stoll, M.; Bosch, J.: Preconditioning for vector-valued Cahn-Hilliard equations. SIAM Journal on Scientific Computing 37 (5), pp. S216 - S243 (2015)
Journal Article
Stoll, M.; Breiten, T.: A low-rank in time approach to PDE-constrained optimization. SIAM Journal on Scientific Computing 37 (1), pp. B1 - B29 (2015)
2014
Journal Article
Bosch, J.; Kay, D.; Stoll, M.; Wathen, A. J.: Fast Solvers for Cahn-Hilliard Inpainting. SIAM Journal on Imaging Sciences 7 (1), pp. 67 - 97 (2014)
2013
Journal Article
Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing 35 , pp. S150 - S170 (2013)
Journal Article
Pearson, J. W.; Stoll, M.: Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes. SIAM Journal on Scientific Computing 35 (5), pp. B987 - B1009 (2013)
2012
Journal Article
Pearson, J. W.; Stoll, M.; Wathen, A. J.: Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems. SIAM Journal on Matrix Analysis and Applications 33 (4), pp. 1126 - 1152 (2012)

Conference Paper (1)

2013
Conference Paper
Benner, P.; Stoll, M.: Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Paris, France, September 25, 2013 - September 27, 2013. IFAC Proceedings Volumes 46 (26), pp. 139 - 143 (2013)

Preprint (1)

2017
Preprint
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
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