5 papers
Matrix-Free Evaluation Strategies for Continuous and Discontinuous Galerkin Discretizations on Unstructured Tetrahedral Grids
Dominik Still, Niklas Fehn, Wolfgang A. Wall +1
This study presents novel strategies for improving the node-level performance of matrix-free evaluation of continuous and discontinuous Galerkin spatial discretizations on unstruct…
Higher-Order Discontinuous Galerkin Splitting Schemes for Fluids with Variable Viscosity
Richard Schussnig, Niklas Fehn, Douglas Ramalho Queiroz Pacheco +1
This article investigates matrix-free higher-order discontinuous Galerkin discretizations of the Navier--Stokes equations for incompressible flows with variable viscosity. The visc…
Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead
Michał Wichrowski, Mohsen Rezaee-Hajidehi, Jože Korelc +2
This study explores matrix-free tangent evaluations in finite-strain elasticity with the use of automatically-generated code for the quadrature-point level calculations. The code g…
A consistent diffuse-interface finite element approach to rapid melt--vapor dynamics with application to metal additive manufacturing
Magdalena Schreter-Fleischhacker, Nils Much, Peter Munch +3
Metal additive manufacturing via laser-based powder bed fusion (PBF-LB/M) faces performance-critical challenges due to complex melt pool and vapor dynamics, often oversimplified by…
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…