activity
20122026
most citedMassively parallel solvers for elliptic PDEs in Numerical Weather- and Climate Prediction

79 citations · 258 across the 61 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.NA2024

Two-level Restricted Additive Schwarz preconditioner based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems

Chupeng Ma, Christian Alber, Robert Scheichl +1

We present and analyze a two-level restricted additive Schwarz (RAS) preconditioner for heterogeneous Helmholtz problems, based on a multiscale spectral generalized finite element…

math.NA2024★ 1 cited

Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces

Arne Strehlow, Chupeng Ma, Robert Scheichl

This paper proposes a two-level restricted additive Schwarz (RAS) method for multiscale PDEs, built on top of a multiscale spectral generalized finite element method (MS-GFEM). The…

math.NA2024

Multigrid Monte Carlo Revisited: Theory and Bayesian Inference

Yoshihito Kazashi, Eike H. Müller, Robert Scheichl

Gaussian random fields play an important role in many areas of science and engineering. In practice, they are often simulated by sampling from a high-dimensional multivariate norma…

math.NA2024

A Mixed Multiscale Spectral Generalized Finite Element Method

Christian Alber, Chupeng Ma, Robert Scheichl

We present a multiscale mixed finite element method for solving second order elliptic equations with general -coefficients arising from flow in highly heterogeneous por…

cs.MS2024

Democratizing Uncertainty Quantification

Linus Seelinger, Anne Reinarz, Mikkel B. Lykkegaard +22

Uncertainty Quantification (UQ) is vital to safety-critical model-based analyses, but the widespread adoption of sophisticated UQ methods is limited by technical complexity. In thi…

stat.CO2024

Tractable Optimal Experimental Design using Transport Maps

Karina Koval, Roland Herzog, Robert Scheichl

We present a flexible method for computing Bayesian optimal experimental designs (BOEDs) for inverse problems with intractable posteriors. The approach is applicable to a wide rang…