Multilevel solution method for the \(p\)-version of finite elements

DOI10.1016/0010-4655(89)90172-0zbMath0798.65102OpenAlexW1989009729MaRDI QIDQ1330653

Siamak Hassanzadeh, G. Brussino, S. Foresti, Vijay Sonnad

Publication date: 30 October 1994

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(89)90172-0

zbMATH Keywords

performancefinite element methodparallel computationiterative methodsmultigrid methodPoisson equationmultilevel iteration

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) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (7)

An iterative solver for \(p\)-version finite elements in three dimensions ⋮ Block SSOR preconditionings for high-order 3D FE systems. III: Incomplete BSSOR preconditionings based onp-partitionings ⋮ Iterative methods for \(p\)-version finite elements: Preconditioning thin solids ⋮ A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with $p$-Robust Behavior ⋮ A hierarchical iterative procedure for the analysis of composite laminates ⋮ Block SSOR preconditionings for high-order 3D FE systems. II: Incomplete BSSOR preconditionings ⋮ The hp -multigrid method applied to hp -adaptive refinement of triangular grids

Cites Work

• Spectral multigrid methods for elliptic equations. II
• Solution of Partial Differential Equations on Vector and Parallel Computers
• Thep-Version of the Finite Element Method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multilevel solution method for the \(p\)-version of finite elements