4 papers
Large-scale Multigrid with Adaptive Galerkin Coarsening
Fabian Böhm, Nils Kohl, Harald Köstler +1
We propose a robust, adaptive coarse-grid correction scheme for matrix-free geometric multigrid targeting PDEs with strongly varying coefficients. The method combines uniform geome…
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
Petr Vacek, Hartwig Anzt, Erin Carson +3
Multigrid methods are popular iterative methods for solving large-scale sparse systems of linear equations. We present a mixed precision formulation of the multigrid V-cycle method…
Architecture Specific Generation of Large Scale Lattice Boltzmann Methods for Sparse Complex Geometries
Philipp Suffa, Markus Holzer, Harald Köstler +1
We implement and analyse a sparse / indirect-addressing data structure for the Lattice Boltzmann Method to support efficient compute kernels for fluid dynamics problems with a high…
Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids
Fabian Böhm, Daniel Bauer, Nils Kohl +5
This paper introduces a code generator designed for node-level optimized, extreme-scalable, matrix-free finite element operators on hybrid tetrahedral grids. It optimizes the local…