Robert Scheichl
Orcid: 0000-0001-8493-4393
According to our database1,
Robert Scheichl
authored at least 83 papers
between 2002 and 2025.
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Bibliography
2025
2024
Multilevel Monte Carlo Methods for Stochastic Convection-Diffusion Eigenvalue Problems.
J. Sci. Comput., June, 2024
Deep Importance Sampling Using Tensor Trains with Application to a Priori and a Posteriori Rare Events.
SIAM J. Sci. Comput., February, 2024
SIAM/ASA J. Uncertain. Quantification, 2024
J. Comput. Phys., 2024
Two-level Restricted Additive Schwarz preconditioner based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems.
CoRR, 2024
Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces.
CoRR, 2024
2023
SIAM J. Sci. Comput., October, 2023
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems.
SIAM J. Numer. Anal., June, 2023
SIAM/ASA J. Uncertain. Quantification, March, 2023
CoRR, 2023
2022
SIAM/ASA J. Uncertain. Quantification, March, 2022
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations.
SIAM J. Numer. Anal., 2022
Error estimates for discrete generalized FEMs with locally optimal spectral approximations.
Math. Comput., 2022
Deep importance sampling using tensor-trains with application to a priori and a posteriori rare event estimation.
CoRR, 2022
2021
Wavenumber explicit convergence of a multiscale GFEM for heterogeneous Helmholtz problems.
CoRR, 2021
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems.
CoRR, 2021
Error estimates for fully discrete generalized FEMs with locally optimal spectral approximations.
CoRR, 2021
Novel design and analysis of generalized FE methods based on locally optimal spectral approximations.
CoRR, 2021
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: Efficient algorithms and numerical results.
CoRR, 2021
High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo.
Proceedings of the International Conference for High Performance Computing, 2021
HINT: Hierarchical Invertible Neural Transport for Density Estimation and Bayesian Inference.
Proceedings of the Thirty-Fifth AAAI Conference on Artificial Intelligence, 2021
2020
SIAM J. Numer. Anal., 2020
Approximation and sampling of multivariate probability distributions in the tensor train decomposition.
Stat. Comput., 2020
A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data.
J. Comput. Phys., 2020
High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites.
Comput. Phys. Commun., 2020
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: Regularity and error analysis.
CoRR, 2020
2019
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients.
Numerische Mathematik, 2019
SIAM/ASA J. Uncertain. Quantification, 2019
ERRATUM: A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow.
SIAM/ASA J. Uncertain. Quantification, 2019
SIAM/ASA J. Uncertain. Quantification, 2019
Multilevel Dimension-Independent Likelihood-Informed MCMC for Large-Scale Inverse Problems.
CoRR, 2019
Multilevel Monte Carlo Simulations of Composite Structures with Uncertain Manufacturing Defects.
CoRR, 2019
HINT: Hierarchical Invertible Neural Transport for General and Sequential Bayesian inference.
CoRR, 2019
A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems.
Proceedings of the Parallel Processing and Applied Mathematics, 2019
2018
SIAM J. Numer. Anal., 2018
Numerische Mathematik, 2018
Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling.
J. Comput. Phys., 2018
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018
2017
SIAM J. Sci. Comput., 2017
Math. Comput., 2017
Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2017
2016
J. Appl. Probab., 2016
Comput. Methods Appl. Math., 2016
2015
SIAM J. Sci. Comput., 2015
Parallel Comput., 2015
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients.
Numerische Mathematik, 2015
A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow.
SIAM/ASA J. Uncertain. Quantification, 2015
2014
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps.
Numerische Mathematik, 2014
Efficient Multigrid Preconditioners for Anisotropic Problems in Geophysical Modelling.
CoRR, 2014
2013
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods.
SIAM J. Numer. Anal., 2013
Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients.
Numerische Mathematik, 2013
Massively parallel solvers for elliptic PDEs in Numerical Weather- and Climate Prediction.
CoRR, 2013
Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs.
Comput. Vis. Sci., 2013
2012
Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids.
SIAM J. Numer. Anal., 2012
Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems.
Numer. Linear Algebra Appl., 2012
Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps.
Comput. Methods Appl. Math., 2012
2011
Numerische Mathematik, 2011
Multiscale Model. Simul., 2011
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications.
J. Comput. Phys., 2011
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients.
Comput. Vis. Sci., 2011
2010
Convergence Analysis of Planewave Expansion Methods for 2D Schrödinger Operators with Discontinuous Periodic Potentials.
SIAM J. Numer. Anal., 2010
Numer. Linear Algebra Appl., 2010
2009
Numer. Linear Algebra Appl., 2009
2008
2007
Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients.
Computing, 2007
2003
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003
2002
SIAM J. Sci. Comput., 2002