Efficient geometric multigrid implementation for triangular grids

DOI10.1016/j.cam.2009.03.012zbMath1189.65294OpenAlexW2063874961MaRDI QIDQ970391

Francisco Javier Lisbona, Francisco José Gaspar, José Luis Gracia, Carmen Rodrigo

Publication date: 17 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.03.012

zbMATH Keywords

numerical experimentssecond order elliptic equationslocal Fourier analysissemi-structured gridsfinite element implementationgeometric multigrid

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)

Related Items (3)

An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids ⋮ Multicolor Fourier analysis of the multigrid method for quadratic FEM discretizations ⋮ Analysis of algebraic multigrid parameters for two-dimensional steady-state heat diffusion equations

Uses Software

• PLTMG
• Wesseling
• LFA

Cites Work

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• Two-colour Fourier analysis of the multigrid method with red-black Gauss- Seidel smoothing
• Concepts of an adaptive hierarchical finite element code
• Fourier Analysis for Multigrid Methods on Triangular Grids
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
• Multigrid Smoothing Factors for Red-Black Gauss–Seidel Relaxation Applied to a Class of Elliptic Operators
• On Red-Black SOR Smoothing in Multigrid

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