Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes

DOI10.1137/110827077zbMath1264.65203arXiv1104.0261OpenAlexW2963241937MaRDI QIDQ4917130

L. Ridgway Scott, Peter Brune, Matthew G. Knepley

Publication date: 29 April 2013

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

Full work available at URL: https://arxiv.org/abs/1104.0261

zbMATH Keywords

interpolationalgorithmfinite element methodnumerical examplesLaplace equationmultigridpreconditionersmeshingadaptive refinement

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Preconditioners for iterative methods (65F08)

Related Items (7)

A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D ⋮ A Highly Scalable Multilevel Schwarz Method with Boundary Geometry Preserving Coarse Spaces for 3D Elasticity Problems on Domains with Complex Geometry ⋮ A meshless geometric multigrid method based on a node-coarsening algorithm for the linear finite element discretization ⋮ An H-Multigrid Method for Hybrid High-Order Discretizations ⋮ A novel multi-grid assisted reanalysis for re-meshed finite element models ⋮ Efficient Mesh Management in Firedrake Using PETSc DMPlex ⋮ Fully Parallel Mesh I/O Using PETSc DMPlex with an Application to Waveform Modeling

Uses Software

• TetGen
• DOLFIN

This page was built for publication: Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes