A Parallel Implementation of the p-Version of the Finite Element Method

DOI10.1137/S1064827593260619zbMath0857.65113OpenAlexW1988913405MaRDI QIDQ4895593

Yimin Zhu, I. Norman Katz

Publication date: 14 October 1996

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

Full work available at URL: https://doi.org/10.1137/s1064827593260619

zbMATH Keywords

convergencedecompositioniterative methodLaplace equation\(p\) versionstiffness matrixsingular solutionscomputational efficiencyfinite elements methodsuperelementstextured decomposition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (4)

Efficient parallel implementations of finite element methods based on the conjugate gradient method ⋮ Error estimates and adaptive finite element methods ⋮ FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002) ⋮ A parallel multi-\(p\) method

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