45 citations · 87 across the 24 of their papers we have counts for
8 papers · 1 filter
Matrix-free implementation of the non-nested multigrid method
Marco Feder, Luca Heltai, Martin Kronbichler +1
Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, hig…
Fairness measures for biometric quality assessment
André Dörsch, Torsten Schlett, Peter Munch +2
Quality assessment algorithms measure the quality of a captured biometric sample. Since the sample quality strongly affects the recognition performance of a biometric system, it is…
A Space-Time Multigrid Method for Space-Time Finite Element Discretizations of Parabolic and Hyperbolic PDEs
Nils Margenberg, Peter Munch
We present a space-time multigrid method based on tensor-product space-time finite element discretizations. The method is facilitated by the matrix-free capabilities of the {\ttfam…
Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity
Richard Schussnig, Niklas Fehn, Peter Munch +1
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an -multigrid preconditioner. Compared to classical algorithms relying on a global…
Smoothers with localized residual computations for geometric multigrid methods
Michał Wichrowski, Peter Munch, Martin Kronbichler +1
We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We…
High-performance matrix-free unfitted finite element operator evaluation
Maximilian Bergbauer, Peter Munch, Wolfgang A. Wall +1
Unfitted finite element methods, like CutFEM, have traditionally been implemented in a matrix-based fashion, where a sparse matrix is assembled and later applied to vectors while s…
Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations
Nils Much, Magdalena Schreter-Fleischhacker, Peter Munch +3
Computational modeling of the melt pool dynamics in laser-based powder bed fusion metal additive manufacturing (PBF-LB/M) promises to shed light on fundamental mechanisms of defect…
A consistent diffuse-interface model for two-phase flow problems with rapid evaporation
Magdalena Schreter-Fleischhacker, Peter Munch, Nils Much +3
We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges…