A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements

DOI10.1016/j.jcp.2008.09.003zbMath1159.65091OpenAlexW2021546447MaRDI QIDQ1000210

Yong Cao, Xiaoming He, Tao Lü

Publication date: 5 February 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.09.003

zbMATH Keywords

finite elementsasymptotic expansionnumerical examplesdomain decompositionextrapolationa posteriori error estimatesnonlinear elliptic equationparallel algorithmsplitting extrapolation formulas

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) 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) Parallel numerical computation (65Y05)

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Cites Work

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