Multilevel correction adaptive finite element method for semilinear elliptic equation.

DOI10.1007/s10492-015-0110-xzbMath1363.65200OpenAlexW2278919155MaRDI QIDQ499038

Yong-Cai Geng, Sumit K. Garg

Publication date: 29 September 2015

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144390

zbMATH Keywords

convergencenumerical examplessemilinear elliptic problemadaptive finite element methodmultilevel correction

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) Semilinear elliptic equations (35J61)

Related Items (11)

Convergence and quasi-optimality of an adaptive finite element method for semilinear elliptic problems on L² errors ⋮ An efficient multigrid method for semilinear interface problems ⋮ A multi-level mixed element method for the eigenvalue problem of biharmonic equation ⋮ Convergence and optimality of adaptive multigrid method for multiple eigenvalue problems ⋮ Multilevel local defect-correction method for nonsymmetric eigenvalue problems ⋮ Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition ⋮ Local and parallel multigrid method for semilinear elliptic equations ⋮ Unnamed Item ⋮ Multilevel correction adaptive finite element method for solving nonsymmetric eigenvalue problems ⋮ Multilevel correction goal-oriented adaptive finite element method for semilinear elliptic equations ⋮ An efficient adaptive multigrid method for the elasticity eigenvalue problem

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