324 citations · 1.1k across the 33 of their papers we have counts for
5 papers · 1 filter
Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations
Martin Kronbichler, Dmytro Sashko, Peter Munch
This work investigates a variant of the conjugate gradient (CG) method and embeds it into the context of high-order finite-element schemes with fast matrix-free operator evaluation…
hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations
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 Ga…
The deal.II finite element library: design, features, and insights
Daniel Arndt, Wolfgang Bangerth, Denis Davydov +7
deal.II is a state-of-the-art finite element library focused on generality, dimension-independent programming, parallelism, and extensibility. Herein, we outline its primary design…
Algorithms and data structures for matrix-free finite element operators with MPI-parallel sparse multi-vectors
Denis Davydov, Martin Kronbichler
Traditional solution approaches for problems in quantum mechanics scale as , where is the number of electrons. Various methods have been proposed to address th…
Fast matrix-free evaluation of discontinuous Galerkin finite element operators
Martin Kronbichler, Katharina Kormann
We present an algorithmic framework for matrix-free evaluation of discontinuous Galerkin finite element operators based on sum factorization on quadrilateral and hexahedral meshes.…