On theL2a PrioriError Estimates to the Finite Element Solution of Elliptic Problems with Singular Adjoint Operator

DOI10.1080/01630560802679364zbMath1165.35009OpenAlexW1980445896MaRDI QIDQ3630405

Takehiko Kinoshita, Mitsuhiro T. Nakao, Kouji Hashimoto

Publication date: 29 May 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a910368308

zbMATH Keywords

FEMa priori error estimatesnoncoercive elliptic problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error analysis and interval analysis (65G99)

Related Items (6)

Norm bound computation for inverses of linear operators in Hilbert spaces ⋮ An alternative approach to norm bound computation for inverses of linear operators in Hilbert spaces ⋮ Error constants for the semi-discrete Galerkin approximation of the linear heat equation ⋮ A numerical verification method for nonlinear functional equations based on infinite-dimensional Newton-like iteration ⋮ Some Remarks on the Rigorous Estimation of Inverse Linear Elliptic Operators ⋮ A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations

Cites Work

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• Guaranteed error bounds for finite element approximations of noncoercive elliptic problems and their applications
• Mixed finite elements in \(\mathbb{R}^3\)
• A numerical method to verify the invertibility of linear elliptic operators with applications to nonlinear problems
• NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS

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