Parallel-vector computation with high-pelement-by-element methods

DOI10.1080/00207169208804112zbMath0760.65097OpenAlexW2146378798MaRDI QIDQ4021074

Graham F. Carey, E. Barragy

Publication date: 17 January 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804112

zbMATH Keywords

performanceconvergenceNavier-Stokes equationsnumerical experimentsfinite element\(p\)-versionHelmholtz equationlinear elliptic problemsvectorizingpreconditioned bi-conjugate gradient methodparallelizing

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (2)

Block and full matrix ILU preconditioners for parallel finite element solvers ⋮ Parallel multilevel solution of Rayleigh‐Benard‐Marangoni problems

Cites Work

• Unnamed Item
• Basis function selection and preconditioning high degree finite element and spectral methods
• An element-by-element solution algorithm for problems of structural and solid mechanics
• The problem of selecting the shape functions for ap-type finite element
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A vectorized version of a sparse matrix-vector multiply
• A parallel element-by-element solution scheme
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Thep-Version of the Finite Element Method

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