On theh- andp-Versions of the Extrapolated Gordon’s Projector with Applications to Elliptic Equations

DOI10.1137/0909052zbMath0658.65104OpenAlexW2009524444MaRDI QIDQ3806737

Jean-Pierre Hennart, Ernest Mund

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1137/0909052

zbMATH Keywords

finite elementparallel computationextrapolationh-versionp-versiondiscrete blended elementsGordon's blending techniqueRiz-Galerkin method

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) Extrapolation to the limit, deferred corrections (65B05) Parallel numerical computation (65Y05)

Related Items (6)

Two-scale sparse finite element approximations ⋮ Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems ⋮ A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives ⋮ Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics ⋮ Three-scale finite element eigenvalue discretizations ⋮ Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences

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