Efficient solution of lattice equations by the recovery method. I: Scalar elliptic problems

DOI10.1007/s00791-004-0146-zzbMath1076.65097OpenAlexW1977087483MaRDI QIDQ1780889

Stefan A. Sauter, Ivo M. Babuška

Publication date: 14 June 2005

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

Full work available at URL: https://doi.org/10.1007/s00791-004-0146-z

zbMATH Keywords

preconditioningfinite elementlattice equationsDelaunay methodheat conductivity modellattice differential modelpiecewise linear shape functionsrecovery methodVoronoi method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES

Uses Software

• Triangle

Cites Work

• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Energy optimization of algebraic multigrid bases
• Bridging the gap between geometric and algebraic multi-grid methods
• The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids
• On the cubic lattice Green functions
• Algebraic algorithms for the analysis of mechanical trusses
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