Efficient Mesh Management in Firedrake Using PETSc DMPlex

DOI10.1137/15M1026092zbMath1352.65613arXiv1506.07749OpenAlexW3105956580MaRDI QIDQ2830607

Matthew G. Knepley, Michael Lange, Lawrence Mitchell, Gerard J. Gorman

Publication date: 28 October 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07749

zbMATH Keywords

algorithmpartitioningdomain decompositionfinite elementtopologymeshPETScperformance optimizationsrenumberingfiredrake

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Packaged methods for numerical algorithms (65Y15)

Related Items (11)

Adapting and optimising fluidity for high-fidelity coastal modelling ⋮ Comparative Study of Finite Element Methods Using the Time-Accuracy-Size(TAS) Spectrum Analysis ⋮ Conservative Projection Between Finite Element and Particle Bases ⋮ Additive Schwarz Methods for Serendipity Elements ⋮ Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow ⋮ A Numerical study of Landau damping with PETSc-PIC ⋮ Composable block solvers for the four-field double porosity/permeability model ⋮ Monolithic Multigrid Methods for Magnetohydrodynamics ⋮ A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications ⋮ A dynamically load-balanced parallel \(p\)-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation ⋮ Fully Parallel Mesh I/O Using PETSc DMPlex with an Application to Waveform Modeling

Uses Software

• FIAT
• Gmsh
• hypre
• PETSc
• DOLFIN
• FEniCS
• symrcm
• UFL
• Firedrake
• PyOP2
• OP2
• MOAB
• DMPlex
• PUMI

Cites Work

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• Automated solution of differential equations by the finite element method. The FEniCS book
• Firedrake
• A Cache‐Aware Algorithm for PDEs on Hierarchical Data Structures Based on Space‐Filling Curves
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes
• PUMI
• Algorithm 839
• Unified form language
• A Hilbert-order multiplication scheme for unstructured sparse matrices

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