33 citations · 62 across the 26 of their papers we have counts for
4 papers · 2 filters
An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities
Markus Bachmayr, Simon Boisserée
This paper is concerned with a space-time adaptive numerical method for instationary porous media flows with nonlinear interaction between porosity and pressure, with focus on prob…
Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy
Markus Bachmayr, Wolfgang Dahmen, Mathias Oster
This paper is about learning the parameter-to-solution map for systems of partial differential equations (PDEs) that depend on a potentially large number of parameters covering all…
Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
Markus Bachmayr, Riccardo Bardin, Matthias Schlottbom
The radiative transfer equation (RTE) has been established as a fundamental tool for the description of energy transport, absorption and scattering in many relevant societal applic…
A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields
Markus Bachmayr, Martin Eigel, Henrik Eisenmann +1
The subject of this work is an adaptive stochastic Galerkin finite element method for parametric or random elliptic partial differential equations, which generates sparse product p…