Splitting extrapolation based on domain decomposition for finite element approximations

DOI10.1007/BF02916946zbMath0949.65120OpenAlexW1993105366MaRDI QIDQ1368203

Tao Lü, Yong Feng

Publication date: 5 December 2000

Published in: Science in China. Series E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02916946

zbMATH Keywords

algorithmdomain decompositionfinite elementerror boundsnonlinearlinearparallel algorithmseigenvalue problemslarge scale problemssplitting extrapolationsparse-grid methodselliptic second-order problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (8)

Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes ⋮ Splitting extrapolation for solving second order elliptic systems with curved boundary in \({\mathfrak R}^d\) by using \(d\)-quadratic isoparametric finite element ⋮ A multilevel correction method for convection-diffusion eigenvalue problems ⋮ The extrapolation of numerical eigenvalues by finite elements for differential operators ⋮ Multilevel finite element discretizations based on local defect correction for nonsymmetric eigenvalue problems ⋮ An algorithm using the finite volume element method and its splitting extrapolation ⋮ Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements ⋮ A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements

Cites Work

• The Splitting Extrapolation Method
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