About the conditioning of matrices in the \(p\)-version of the finite element method for second order elliptic problems

DOI10.1016/0377-0427(95)00062-3zbMath0858.65113OpenAlexW2090253504MaRDI QIDQ1917871

Olivier Pourquier, Jean-François Maitre

Publication date: 15 July 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00062-3

zbMATH Keywords

finite element methodcondition numberadaptive methods\(p\)-versionhierarchical basesdiagonal preconditioning

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Unsymmetric multi-level hanging nodes and anisotropic polynomial degrees in \(H^1\)-conforming higher-order finite element methods ⋮ Improved p‐version finite element matrix conditioning using semi‐orthogonal modal approximation functions ⋮ Error estimates and adaptive finite element methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The p- and h-p versions of the finite element method. An overview
• Spectral approximation for elliptic boundary value problems
• Additive Schwarz methods for the \(p\)-version finite element method
• Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
• Parallel Implementation of the $hp$-Version of the Finite Element Method on a Shared-Memory Architecture

This page was built for publication: About the conditioning of matrices in the \(p\)-version of the finite element method for second order elliptic problems