Mixed finite element methods for nonlinear elliptic problems: The \(h-p\) version

DOI10.1016/S0377-0427(97)00121-0zbMath0898.65071WikidataQ126400642 ScholiaQ126400642MaRDI QIDQ1375446

Fabio Augusto Milner, Mi Young Lee

Publication date: 28 January 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencenumerical resultsdomain decompositionminimal surfacesmixed finite element methodnonlinear elliptic Dirichlet problemsBrezzi-Douglas-Marini spacesNedelec-Raviart-Thomas spaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces and optimization (49Q05) 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)

Related Items

Mixed finite element methods for nonlinear elliptic problems: The \(h-p\) version, A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media, Error estimates and adaptive finite element methods

Cites Work

• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
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• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
• The $h-p$ version of the finite element method with quasiuniform meshes
• Mixed finite element methods for quasilinear second order elliptic problems : the $p$-version
• On the Stability and Convergence of Higher-Order Mixed Finite Element Methods for Second-Order Elliptic Problems
• A Mixed Finite Element Method for a Strongly Nonlinear Second-Order Elliptic Problem
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