activity
20242026
most citedImproved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations

10 citations · 10 across the 2 of their papers we have counts for

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Showing 2024Show all

5 papers · 1 filter

math.NA2024

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…

cs.CE2024

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…

cs.CE2024

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…

math.NA2024

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…

math.NA2024

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…