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## Stoll, Martin

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 Author ID: stoll.martin Published as: Stoll, Martin External Links: MGP · ORCID
 Documents Indexed: 43 Publications since 2008
all top 5

#### Co-Authors

 2 single-authored 13 Benner, Peter 8 Wathen, Andrew John 7 Pearson, John W. 5 Bosch, Jessica 4 Dolgov, Sergey V. 4 Onwunta, Akwum 3 Rees, Tyrone 3 Yücel, Hamdullah 2 Barker, Andrew T. 2 Breiten, Tobias 2 Faßbender, Heike 2 Hon, Yiu-Chung 2 Porcelli, Margherita 2 Qiu, Yue 2 Saak, Jens 2 Simoncini, Valeria 2 Weichelt, Heiko K. 1 Blank, Luise 1 Bünger, Alexandra 1 Dollar, H. Sue 1 Golub, Gene Howard 1 Gould, Nicholas Ian Mark 1 Grundel, Sara 1 Herzog, Roland 1 Kay, David A. 1 Klamt, Steffen 1 Maini, Philip Kumar 1 Sarbu, Lavinia 1 Savostyanov, Dmitry V. 1 Zhao, Wei 1 Zhao, Wei
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#### Serials

 7 SIAM Journal on Scientific Computing 4 Numerical Linear Algebra with Applications 4 ETNA. Electronic Transactions on Numerical Analysis 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 SIAM Journal on Matrix Analysis and Applications 2 Applied Mathematics and Computation 2 Linear Algebra and its Applications 2 SIAM Journal on Imaging Sciences 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Kybernetika 1 SIAM Journal on Applied Mathematics 1 Advances in Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 AIMS Mathematics
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#### Fields

 39 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 7 Systems theory; control (93-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 369 times in 248 Documents Cited by Year
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2012
Block-triangular preconditioners for PDE-constrained optimization. Zbl 1240.65097
Rees, Tyrone; Stoll, Martin
2010
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
A low-rank in time approach to PDE-constrained optimization. Zbl 1330.65153
Stoll, Martin; Breiten, Tobias
2015
Combination preconditioning and the Bramble-Pasciak$$^{+}$$ preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
2008
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
2010
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
2014
A fractional inpainting model based on the vector-valued Cahn-Hilliard equation. Zbl 1328.65214
Bosch, Jessica; Stoll, Martin
2015
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2014
Fast iterative solution of reaction-diffusion control problems arising from chemical processes. Zbl 1281.65095
Pearson, John W.; Stoll, Martin
2013
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
2012
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Zbl 1423.76329
Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin
2016
Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2015
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Zbl 1349.65438
Bosch, Jessica; Stoll, Martin; Benner, Peter
2014
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
2010
A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Zbl 1219.65040
Benner, Peter; Faßbender, Heike; Stoll, Martin
2011
Domain decomposition in time for PDE-constrained optimization. Zbl 1352.65161
Barker, Andrew T.; Stoll, Martin
2015
Efficient solution of large-scale saddle point systems arising in Riccati-based boundary feedback stabilization of incompressible Stokes flow. Zbl 1290.76059
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.
2013
A Krylov-Schur approach to the truncated SVD. Zbl 1241.65040
Stoll, Martin
2012
Fast solvers for optimal control problems from pattern formation. Zbl 1349.92035
Stoll, Martin; Pearson, John W.; Maini, Philip K.
2016
Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. Zbl 1382.65074
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2016
Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Zbl 1410.49018
Dolgov, Sergey; Pearson, John W.; Savostyanov, Dmitry V.; Stoll, Martin
2016
One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. Zbl 1303.65050
Stoll, Martin
2014
Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Zbl 1250.49007
Blank, Luise; Sarbu, Lavinia; Stoll, Martin
2012
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
2008
Fast iterative solvers for an optimal transport problem. Zbl 1415.65070
Herzog, Roland; Pearson, John W.; Stoll, Martin
2019
A fast solver for an H1 regularized PDE-constrained optimization problem. Zbl 1373.49028
Barker, Andrew T.; Rees, Tyrone; Stoll, Martin
2016
Preconditioning for vector-valued Cahn-Hilliard equations. Zbl 1325.65043
Bosch, Jessica; Stoll, Martin
2015
A low-rank tensor method for PDE-constrained optimization with isogeometric analysis. Zbl 1429.65061
Bünger, Alexandra; Dolgov, Sergey; Stoll, Martin
2020
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081
Zhao, Wei; Hon, Yiu-chung; Stoll, Martin
2018
Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems. Zbl 1398.65057
Benner, Peter; Qiu, Yue; Stoll, Martin
2018
Generalizing diffuse interface methods on graphs: nonsmooth potentials and hypergraphs. Zbl 1385.68032
Bosch, Jessica; Klamt, Steffen; Stoll, Martin
2018
Preconditioning PDE-constrained optimization with $$L^1$$-sparsity and control constraints. Zbl 1393.49022
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin
2017
Low-rank solution to an optimization problem constrained by the Navier-Stokes equations. Zbl 1381.76259
Dolgov, Sergey; Stoll, Martin
2017
Solving large-scale quadratic eigenvalue problems with Hamiltonian eigenstructure using a structure-preserving Krylov subspace method. Zbl 1171.65374
Benner, Peter; Fassbender, Heike; Stoll, Martin
2008
Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. Zbl 07177902
Pearson, John W.; Porcelli, Margherita; Stoll, Martin
2020
Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations. Zbl 1427.65261
Stoll, Martin; Yücel, Hamdullah
2018
Efficient solvers for large-scale saddle point systems arising in feedback stabilization of multi-field flow problems. Zbl 1329.76105
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.
2014
A low-rank tensor method for PDE-constrained optimization with isogeometric analysis. Zbl 1429.65061
Bünger, Alexandra; Dolgov, Sergey; Stoll, Martin
2020
Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. Zbl 07177902
Pearson, John W.; Porcelli, Margherita; Stoll, Martin
2020
Fast iterative solvers for an optimal transport problem. Zbl 1415.65070
Herzog, Roland; Pearson, John W.; Stoll, Martin
2019
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081
Zhao, Wei; Hon, Yiu-chung; Stoll, Martin
2018
Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems. Zbl 1398.65057
Benner, Peter; Qiu, Yue; Stoll, Martin
2018
Generalizing diffuse interface methods on graphs: nonsmooth potentials and hypergraphs. Zbl 1385.68032
Bosch, Jessica; Klamt, Steffen; Stoll, Martin
2018
Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations. Zbl 1427.65261
Stoll, Martin; Yücel, Hamdullah
2018
Preconditioning PDE-constrained optimization with $$L^1$$-sparsity and control constraints. Zbl 1393.49022
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin
2017
Low-rank solution to an optimization problem constrained by the Navier-Stokes equations. Zbl 1381.76259
Dolgov, Sergey; Stoll, Martin
2017
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Zbl 1423.76329
Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin
2016
Fast solvers for optimal control problems from pattern formation. Zbl 1349.92035
Stoll, Martin; Pearson, John W.; Maini, Philip K.
2016
Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. Zbl 1382.65074
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2016
Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Zbl 1410.49018
Dolgov, Sergey; Pearson, John W.; Savostyanov, Dmitry V.; Stoll, Martin
2016
A fast solver for an H1 regularized PDE-constrained optimization problem. Zbl 1373.49028
Barker, Andrew T.; Rees, Tyrone; Stoll, Martin
2016
A low-rank in time approach to PDE-constrained optimization. Zbl 1330.65153
Stoll, Martin; Breiten, Tobias
2015
A fractional inpainting model based on the vector-valued Cahn-Hilliard equation. Zbl 1328.65214
Bosch, Jessica; Stoll, Martin
2015
Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2015
Domain decomposition in time for PDE-constrained optimization. Zbl 1352.65161
Barker, Andrew T.; Stoll, Martin
2015
Preconditioning for vector-valued Cahn-Hilliard equations. Zbl 1325.65043
Bosch, Jessica; Stoll, Martin
2015
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
2014
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2014
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Zbl 1349.65438
Bosch, Jessica; Stoll, Martin; Benner, Peter
2014
One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. Zbl 1303.65050
Stoll, Martin
2014
Efficient solvers for large-scale saddle point systems arising in feedback stabilization of multi-field flow problems. Zbl 1329.76105
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.
2014
Fast iterative solution of reaction-diffusion control problems arising from chemical processes. Zbl 1281.65095
Pearson, John W.; Stoll, Martin
2013
Efficient solution of large-scale saddle point systems arising in Riccati-based boundary feedback stabilization of incompressible Stokes flow. Zbl 1290.76059
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.
2013
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2012
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
2012
A Krylov-Schur approach to the truncated SVD. Zbl 1241.65040
Stoll, Martin
2012
Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Zbl 1250.49007
Blank, Luise; Sarbu, Lavinia; Stoll, Martin
2012
A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Zbl 1219.65040
Benner, Peter; Faßbender, Heike; Stoll, Martin
2011
Block-triangular preconditioners for PDE-constrained optimization. Zbl 1240.65097
Rees, Tyrone; Stoll, Martin
2010
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
2010
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
2010
Combination preconditioning and the Bramble-Pasciak$$^{+}$$ preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
2008
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
2008
Solving large-scale quadratic eigenvalue problems with Hamiltonian eigenstructure using a structure-preserving Krylov subspace method. Zbl 1171.65374
Benner, Peter; Fassbender, Heike; Stoll, Martin
2008
all top 5

#### Cited by 433 Authors

 24 Stoll, Martin 14 Benner, Peter 13 Pearson, John W. 8 Zhang, Guofeng 7 Simoncini, Valeria 7 Wathen, Andrew John 6 Axelsson, Axel Owe Holger 6 Dolgov, Sergey V. 6 Ma, Changfeng 4 Bosch, Jessica 4 Elman, Howard C. 4 Liu, Jun 4 Onwunta, Akwum 4 Palitta, Davide 4 Rees, Tyrone 3 Bai, Zhongzhi 3 Durastante, Fabio 3 Fakih, Hussein 3 Faßbender, Heike 3 Gondzio, Jacek 3 Hinze, Michael 3 Karasözen, Bülent 3 Kwok, Felix 3 Lee, Kookjin 3 Li, Wen 3 Liang, Zhao-Zheng 3 Liu, Jun 3 Massei, Stefano 3 Mazza, Mariarosa 3 Neytcheva, Maya G. 3 Orban, Dominique 3 Peng, Xiaofei 3 Pestana, Jennifer 3 Robol, Leonardo 3 Saunders, Michael A. 3 Surowiec, Thomas 3 Ullmann, Elisabeth 3 Van Gennip, Yves 3 Wang, Hong 3 Weng, Zhifeng 3 Xiao, Mingqing 3 Zeng, Minli 3 Zheng, Qingqing 2 Andreev, Roman 2 Badahmane, A. 2 Benzi, Michele 2 Biros, George 2 Cai, Xiao-Chuan 2 Chen, Hao 2 Cherfils, Laurence 2 Choi, Youngsoo 2 Donatelli, Marco 2 Estrin, Ron 2 Freitag, Melina A. 2 Friedlander, Michael P. 2 Gander, Martin Jakob 2 Garcke, Harald 2 Ghattas, Omar N. 2 Götschel, Sebastian 2 Herzog, Roland 2 Hochstenbach, Michiel E. 2 Hon, Yiu-Chung 2 Huang, Qiuyue 2 Kahle, Christian 2 Karátson, János 2 Kouri, Drew P. 2 Küçükseyhan, Tuğba 2 Langer, Ulrich 2 Lei, Siulong 2 Li, Buyang 2 Lü, Wen 2 Mang, Andreas 2 Minion, Michael L. 2 Miranville, Alain M. 2 Nielsen, Bjørn Fredrik 2 Porcelli, Margherita 2 Qiu, Yue 2 Reichel, Lothar 2 Sadok, Hassane 2 Serra-Capizzano, Stefano 2 Sgura, Ivonne 2 Song, Xiaoliang 2 Sousedík, Bedřich 2 Steinbach, Olaf 2 Su, Tengfei 2 Tavakoli, Rouhollah 2 Tröltzsch, Fredi 2 Uzunca, Murat 2 Valdinoci, Enrico 2 Villa, Umberto E. 2 Voigt, Matthias 2 Wu, Shulin 2 Yang, Huidong 2 Yu, Bo 2 Yücel, Hamdullah 2 Zhai, Shuying 2 Zhang, Tongtong 2 Zheng, Zhong 2 Zhu, Muzheng 2 Zulehner, Walter ...and 333 more Authors
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#### Cited in 72 Serials

 30 SIAM Journal on Scientific Computing 14 Computers & Mathematics with Applications 14 SIAM Journal on Matrix Analysis and Applications 13 Journal of Computational and Applied Mathematics 12 Journal of Computational Physics 12 Numerical Algorithms 10 Applied Mathematics and Computation 10 Linear Algebra and its Applications 9 Numerical Linear Algebra with Applications 8 BIT 7 Journal of Scientific Computing 7 SIAM/ASA Journal on Uncertainty Quantification 6 Computer Methods in Applied Mechanics and Engineering 6 Applied Numerical Mathematics 4 SIAM Journal on Numerical Analysis 4 Computational Optimization and Applications 4 Mathematical Problems in Engineering 3 SIAM Journal on Control and Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 SIAM Journal on Imaging Sciences 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 Advances in Computational Mathematics 2 Optimization Methods & Software 2 Communications in Nonlinear Science and Numerical Simulation 2 Networks and Spatial Economics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Automatica 1 Calcolo 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Journal of Pure and Applied Algebra 1 Kybernetika 1 Numerical Functional Analysis and Optimization 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 Opuscula Mathematica 1 ELA. The Electronic Journal of Linear Algebra 1 Vietnam Journal of Mathematics 1 Soft Computing 1 Journal of Inequalities and Applications 1 Computational Methods in Applied Mathematics 1 Advanced Nonlinear Studies 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Industrial and Management Optimization 1 Inverse Problems in Science and Engineering 1 Networks and Heterogeneous Media 1 Numerical Algebra, Control and Optimization 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Modern Stochastics. Theory and Applications 1 SMAI Journal of Computational Mathematics 1 Electronic Research Archive
all top 5

#### Cited in 29 Fields

 208 Numerical analysis (65-XX) 95 Partial differential equations (35-XX) 90 Calculus of variations and optimal control; optimization (49-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 23 Fluid mechanics (76-XX) 23 Systems theory; control (93-XX) 15 Operations research, mathematical programming (90-XX) 12 Probability theory and stochastic processes (60-XX) 11 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)