Publications NDS group
Journal Article (35)
2021
Journal Article
54 (2), pp. 486 - 497 (2021)
Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography 2019
Journal Article
19 (1), pp. 5 - 22 (2019)
A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 2018
Journal Article
6 (2), pp. 965 - 989 (2018)
Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. SIAM/ASA Journal on Uncertainty Quantification
Journal Article
23, pp. 603 - 628 (2018)
Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes system. Communications in Computational Physics
Journal Article
78 (3), pp. 1350 - 1377 (2018)
Generalizing diffuse interface methods on graphs: non-smooth potentials and hypergraphs. SIAM Journal on Applied Mathematics
Journal Article
48, pp. 407 - 434 (2018)
Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations. Electronic Transactions on Numerical Analysis
Journal Article
75 (5), pp. 1685 - 1704 (2018)
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Computers & Mathematics with Applications
Journal Article
337, pp. 514 - 534 (2018)
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 2017
Journal Article
39 (1), pp. A255 - A280 (2017)
Low-Rank Solution to an Optimization Problem Constrained by the Navier-Stokes Equations. SIAM Journal on Scientific Computing
Journal Article
74 (5), pp. 1059 - 1075 (2017)
Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. Computers & Mathematics with Applications
Journal Article
25, pp. 45 - 60 (2017)
Stability on interpolation of scattered data via kernels. Neural, Parallel and Scientific Computations 2016
Journal Article
19 (1), pp. 143 - 167 (2016)
A fast solver for an H1 regularized PDE-constrained optimization problem. Communications in Computational Physics
Journal Article
304, pp. 26 - 54 (2016)
Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data. Computer Methods in Applied Mechanics and Engineering
Journal Article
37 (2), pp. 491 - 518 (2016)
Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Journal on Matrix Analysis and Applications
Journal Article
45, pp. 107 - 132 (2016)
Low-Rank Solvers for Fractional Differential Equations. Electronic Transactions on Numerical Analysis
Journal Article
273, pp. 604 - 623 (2016)
Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Applied Mathematics and Computation
Journal Article
304, pp. 27 - 45 (2016)
Fast solvers for optimal control problems from pattern formation. Journal of Computational Physics 2015
Journal Article
197, pp. 136 - 143 (2015)
Domain decomposition in time for PDE-constrained optimization. Computer Physics Communications
Journal Article
3 (1), pp. 622 - 649 (2015)
Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM/ASA Journal on Uncertainty Quantification
Journal Article
8 (4), pp. 2352 - 2382 (2015)
A fractional inpainting model based on the vector-valued Cahn–Hilliard equation. SIAM Journal on Imaging Sciences
Journal Article
3 (1), pp. 1109 - 1135 (2015)
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
Journal Article
30 (1), pp. 37 - 42 (2015)
On evolution of solution times for the chemical master equation of the enzymatic futile cycle. Russian Journal of Numerical Analysis and Mathematical Modelling
Journal Article
37 (5), pp. S216 - S243 (2015)
Preconditioning for vector-valued Cahn-Hilliard equations. SIAM Journal on Scientific Computing
Journal Article
37 (1), pp. B1 - B29 (2015)
A low-rank in time approach to PDE-constrained optimization. SIAM Journal on Scientific Computing
Journal Article
70 (10), pp. 2414 - 2431 (2015)
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 2014
Journal Article
91 (3), pp. 601 - 615 (2014)
A minimal communication approach to parallel time integration. International Journal of Computer Mathematics
Journal Article
58 (2), pp. 290 - 307 (2014)
A mixed finite element method for the stokes equations based on a weakly over-penalized symmetric interior penalty approach. Journal of Scientific Computing
Journal Article
7 (1), pp. 67 - 97 (2014)
Fast Solvers for Cahn-Hilliard Inpainting. SIAM Journal on Imaging Sciences
Journal Article
262, pp. 38 - 57 (2014)
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics
Journal Article
34 (4), pp. 1554 - 1577 (2014)
One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. IMA Journal of Numerical Analysis
Journal Article
21 (1), pp. 81 - 97 (2014)
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Numerical Linear Algebra with Applications 2013
Journal Article
35 , pp. S150 - S170 (2013)
Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing
Journal Article
35 (5), pp. B987 - B1009 (2013)
Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes. SIAM Journal on Scientific Computing
Journal Article
232 (1), pp. 498 - 515 (2013)
All-at-once solution of time-dependent Stokes control. Journal of Computational Physics
Journal Article
58, pp. 278 - 287 (2013)
Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering Book Chapter (1)
2014
Book Chapter
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)
2013
Conference Paper
46 (26), pp. 139 - 143 (2013)
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 Talk (19)
2016
Talk
Fast Solvers for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. Computational Methods in Applied Mathematics (CMAM-7), Jyväskylä, Finland (2016)
Talk
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)
Talk
Efficient solvers for optimal control problems constrained by PDEs with uncertain inputs. 20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium (2016)
Talk
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)
2015
Talk
Preconditioning for a coupled Cahn-Hilliard Navier-Stokes system. GAMM Workshop on Applied and Numerical Linear Algebra, Magdeburg, Germany (2015)
Talk
Preconditioning for various Cahn-Hilliard systems. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, USA (2015)
Talk
Efficient Solution of Cahn-Hilliard Systems. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, United States (2015)
Talk
Block preconditioners for Cahn-Hilliard problems. International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Preconditioning, Eindhoven, The Netherlands (2015)
Talk
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)
Talk
Fast Iterative Solvers for a Coupled Cahn-Hilliard/Navier-Stokes System. SIAM Conference on Applied Linear Algebra, Atlanta, Georgia, USA (2015)
Talk
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)
2014
Talk
Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM Conference on Uncertainty Quantification, Savannah, Georgia, USA (2014)
Talk
Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. 85th GAMM Annual Scientific Conference, Erlangen, Germany (2014)