Parallel Implementation of the $hp$-Version of the Finite Element Method on a Shared-Memory Architecture

DOI10.1137/0913081zbMath0765.65101OpenAlexW2054778597MaRDI QIDQ4015237

K. Markley, Ivo M. Babuška, Howard C. Elman

Publication date: 12 January 1993

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0913081

zbMATH Keywords

domain decompositionnumerical experimentsfinite element methodsparallel implementationpreconditioned conjugate gradient method\(hp\)-versionlocal stiffness matricessecond-order elliptic differential equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

Related Items

Additive Schwarz methods for the \(p\)-version finite element method, A parallel solver for the \(hp\)-version of finite element methods, Approximation properties of the \(h\)-\(p\) version of the finite element method, About the conditioning of matrices in the \(p\)-version of the finite element method for second order elliptic problems, Parallel implementation of the \(p\)-version of the finite element method for elliptic equations on a shared-memory architecture, Error estimates and adaptive finite element methods, A parallel multi-\(p\) method, On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods

Uses Software

• LAPACK
• BLAS