45 citations · 87 across the 24 of their papers we have counts for
12 papers · 1 filter
ADER-ZIST - a mixed explicit ADER-DG and zonally implicit space-time DG approach for Cartesian cut cell meshes
Michael Dumbser, Christian Engwer, Sandra May +1
We present high order accurate mixed explicit-implicit discontinuous Galerkin (DG) schemes for the solution of hyperbolic systems of conservation laws on Cartesian cut cell meshes.…
Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II
Peter Munch, Marc Fehling, Martin Kronbichler +2
In this article, we solve the Stokes and Navier-Stokes equations with the dealII finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infr…
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations
Nils Margenberg, Markus Bause, Peter Munch
We present a monolithic space-time multigrid method for tensor-product space-time finite element discretizations of the Stokes equations. Geometric and polynomial coarsening o…
Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity
Camilla Belponer, José C. Garay, Peter Munch +1
We present the Super-Localized Orthogonal Decomposition (SLOD) method for the numerical homogenization of linear elasticity problems with multiscale microstructures modeled by a he…
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…
A Space-Time Multigrid Method for Space-Time Finite Element Discretizations of Parabolic and Hyperbolic PDEs
Nils Margenberg, Peter Munch
We present a space-time multigrid method based on tensor-product space-time finite element discretizations. The method is facilitated by the matrix-free capabilities of the {\ttfam…
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…
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…
High-Order Non-Conforming Discontinuous Galerkin Methods for the Acoustic Conservation Equations
Johannes Heinz, Peter Munch, Manfred Kaltenbacher
This work compares two Nitsche-type approaches to treat non-conforming triangulations for a high-order discontinuous Galerkin (DG) solver for the acoustic conservation equations. T…
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit
Peter Munch, Ivo Dravins, Martin Kronbichler +1
We present an implementation of a fully stage-parallel preconditioner for Radau IIA type fully implicit Runge--Kutta methods, which approximates the inverse of from the Butch…
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations
Peter Munch, Timo Heister, Laura Prieto Saavedra +1
This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening, and polyno…
A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
Martin Kronbichler, Katharina Kormann, Niklas Fehn +2
This work proposes a basis for improved throughput of matrix-free evaluation of discontinuous Galerkin symmetric interior penalty discretizations on hexahedral elements. The basis…