Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation

DOI10.1007/s00791-004-0136-1zbMath1071.65154OpenAlexW2147410864MaRDI QIDQ1780884

P. W. Hemker, M. H. van Raalte

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/4199

zbMATH Keywords

convergencenumerical examplesmultigrid methoddiscontinuous Galerkin methodsPoisson equationsecond order elliptic equationGauss-Seidel smoothingblock-relaxation strategies

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

A feasibility study for discontinuous Galerkin discretization with embedded Dirichlet boundary condition ⋮ Fourier Analysis of Periodic Stencils in Multigrid Methods ⋮ An angular multigrid preconditioner for the radiation transport equation with Fokker-Planck scattering ⋮ Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method ⋮ \(h\)-multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations ⋮ Multigrid methods on semi-structured grids ⋮ A space-time discontinuous Galerkin method for the time-dependent Oseen equations ⋮ Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods ⋮ Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems ⋮ Two‐level multigrid analysis for the convection–diffusion equation discretized by a discontinuous Galerkin method ⋮ On an Adaptive Semirefinement Multigrid Algorithm for Convection-Diffusion Problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The global element method applied to a harmonic mixed boundary value problem
• A discontinuous \(hp\) finite element method for diffusion problems
• A multilevel discontinuous Galerkin method
• Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements
• An Implicit Matching Principle for Global Element Calculations
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretization
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

This page was built for publication: Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation