1 code implementation • 19 Feb 2020 • Peter Munch, Katharina Kormann, Martin Kronbichler
This work presents the efficient, matrix-free finite-element library hyper. deal for solving partial differential equations in two to six dimensions with high-order discontinuous Galerkin methods.
Mathematical Software Numerical Analysis Numerical Analysis G.4
1 code implementation • 5 Apr 2019 • Thomas C. Clevenger, Timo Heister, Guido Kanschat, Martin Kronbichler
We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations.
Numerical Analysis Mathematical Software
1 code implementation • 9 May 2018 • Svenja Schoeder, Katharina Kormann, Wolfgang Wall, Martin Kronbichler
A crucial step towards efficiency is to evaluate operators in a matrix-free way with sum-factorization kernels.
Numerical Analysis 65M60, 65Y20, 68Q25, 68W40
3 code implementations • 9 Nov 2017 • Martin Kronbichler, Katharina Kormann
Our performance analysis shows that the results are often within 10\% of the available memory bandwidth for the proposed implementation, with the exception of the Cartesian mesh case where the cost of gather operations and MPI communication are more substantial.
Mathematical Software Numerical Analysis Numerical Analysis
