Head of the Group

Dr. Martin Stoll
Dr. Martin Stoll
Phone: +49 391 6110 366
Room: S2.11
Links: My group

Contact Person

Diana Noatsch-Liebke
Phone: +49 391 6110 450
Fax: +49 391 6110 526
Room: S2.16

Group page

Publications

Publications NDS group

Journal Article (33)

  1. 2018
    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)
  2. Benner, P.; Onwunta, A.; Stoll, M.: An Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics (accepted)
  3. Bosch, J.; Kahle, C.; Stoll, M.: Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes system. Communications in Computational Physics (accepted)
  4. 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)
  5. Zhao, W.; Hon, Y.-C.; Stoll, M.: Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Computers & Mathematics with Applications 75 (5), pp. 1685 - 1704 (2018)
  6. Zhao, W.; Hon, Y. C.; Stoll, M.: Numerical Simulations of Nonlocal Phase-Field and Hyperbolic Nonlocal Phase-Field Models via Localized Radial Basis Functions-Based Pseudo-Spectral Method (LRBF-PSM). Applied Mathematics and Computation 337, pp. 514 - 534 (2018)
  7. 2017
    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)
  8. Porcelli, M.; Simoncini, V.; Stoll, M.: Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. Computers & Mathematics with Applications 74 (5), pp. 1059 - 1075 (2017)
  9. Zhao, W.; Stoll, M.: Stability on interpolation of scattered data via kernels. Neural, Parallel and Scientific Computations 25, pp. 45 - 60 (2017)
  10. 2016
    Barker, A. T.; Rees, T.; Stoll, M.: A fast solver for an H1 regularized PDE-constrained optimization problem. Communications in Computational Physics 19 (1), pp. 143 - 167 (2016)
  11. 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)
  12. 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)
  13. Breiten, T.; Simoncini, V.; Stoll, M.: Low-Rank Solvers for Fractional Differential Equations. Electronic Transactions on Numerical Analysis 45, pp. 107 - 132 (2016)
  14. 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)
  15. 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)
  16. 2015
    Barker, A. T.; Stoll, M.: Domain decomposition in time for PDE-constrained optimization. Computer Physics Communications 197, pp. 136 - 143 (2015)
  17. 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)
  18. 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)
  19. Dolgov, S. V.; Tyrtyshnikov, E. E.: On evolution of solution times for the chemical master equation of the enzymatic futile cycle. Russian Journal of Numerical Analysis and Mathematical Modelling 30 (1), pp. 37 - 42 (2015)
  20. Dolgov, S.; Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G.: Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format. SIAM/ASA Journal on Uncertainty Quantification 3 (1), pp. 1109 - 1135 (2015)
  21. 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)
  22. Stoll, M.; Bosch, J.: Preconditioning for vector-valued Cahn-Hilliard equations. SIAM Journal on Scientific Computing 37 (5), pp. S216 - S243 (2015)
  23. Yücel, H.; Stoll, M.; Benner, P.: A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms. Computers and Mathematics with Applications 70 (10), pp. 2414 - 2431 (2015)
  24. 2014
    Barker, A. T.: A minimal communication approach to parallel time integration. International Journal of Computer Mathematics 91 (3), pp. 601 - 615 (2014)
  25. Barker, A. T.; Brenner, S. C.: A mixed finite element method for the stokes equations based on a weakly over-penalized symmetric interior penalty approach. Journal of Scientific Computing 58 (2), pp. 290 - 307 (2014)
  26. Bosch, J.; Stoll, M.; Benner, P.: Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics 262, pp. 38 - 57 (2014)
  27. 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)
  28. Stoll, M.; Pearson, J. W.; Wathen, A. J.: Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Numerical Linear Algebra with Applications 21 (1), pp. 81 - 97 (2014)
  29. Stoll, M.: One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. IMA Journal of Numerical Analysis 34 (4), pp. 1554 - 1577 (2014)
  30. 2013
    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 (5 - Special Section: 2012 Copper Mountain Conference), pp. S150 - S170 (2013)
  31. 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)
  32. Stoll, M.; Wathen, A.: All-at-once solution of time-dependent Stokes control. Journal of Computational Physics 232 (1), pp. 498 - 515 (2013)
  33. Yücel, H.; Stoll, M.; Benner, P.: Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering 58, pp. 278 - 287 (2013)

Book Chapter (1)

  1. 2014
    Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems. In: System Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers, pp. 11 - 20 (Eds. Pötzsche, C.; Heuberger, C.; Kaltenbacher, B.; Rendl, F.). Springer, Berlin Heidelberg (2014)

Conference Paper (1)

  1. 2013
    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)

Talk (18)

  1. 2016
    Benner, P.; Onwunta, A.; Stoll, M.: Fast Solvers for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. Computational Methods in Applied Mathematics (CMAM-7), Jyväskylä, Finland (2016)
  2. Benner, P.; Onwunta, A.; Stoll, M.: Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. 87th annual conference of the International Association of Applied Mathematics and Mechanics, Braunschweig, Germany (2016)
  3. Onwunta, A.; Benner, P.; Stoll, M.: Efficient solvers for optimal control problems constrained by PDEs with uncertain inputs. 20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium (2016)
  4. Onwunta, A.; Benner, P.; Stoll, M.: Efficient solvers for optimal control problems constrained by PDEs with uncertain inputs. Workshop on Direct and Inverse Problems for PDEs with Random Coefficients, Berlin, Germany (2016)
  5. 2015
    Bosch, J.; Stoll, M.: Preconditioning for various Cahn-Hilliard systems. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, USA (2015)
  6. Bosch, J.; Stoll, M.: Block preconditioners for Cahn-Hilliard problems. International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Preconditioning, Eindhoven, The Netherlands (2015)
  7. Bosch, J.; Kahle, C.; Stoll, M.: Preconditioning for a coupled Cahn-Hilliard Navier-Stokes system. GAMM Workshop on Applied and Numerical Linear Algebra, Magdeburg, Germany (2015)
  8. Bosch, J.; Stoll, M.: A fractional inpainting model based on the vector-valued Cahn–Hilliard equation. In celebration of Nick Trefethen's 60th birthday, New directions in numerical computation, Oxford, United Kingdom (2015)
  9. Bosch, J.; Stoll, M.: Fast Iterative Solvers for a Coupled Cahn-Hilliard/Navier-Stokes System. SIAM Conference on Applied Linear Algebra, Atlanta, Georgia, USA (2015)
  10. Onwunta, A.; Stoll, M.; Benner, P.: All-at-once Approach to Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, United States (2015)
  11. 2014
    Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM Conference on Uncertainty Quantification, Savannah, Georgia, USA (2014)
  12. Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. 85th GAMM Annual Scientific Conference, Erlangen, Germany (2014)
  13. Bosch, J.; Stoll, M.: Preconditioning for various Cahn-Hilliard systems. SPARSE DAYS 2014, Toulouse, France (2014)
  14. Bosch, J.; Stoll, M.: Preconditioning for vector-valued Cahn-Hilliard equations. 13th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, United States (2014)
  15. Bosch, J.; Stoll, M.: Preconditioning for various Cahn-Hilliard systems. 4th IMA Conference on Numerical Linear Algebra and Optimisation, Birmingham, United Kingdom (2014)
 
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