On error estimation of finite element approximations to the elliptic equations in nonconvex polygonal domains

DOI10.1016/J.CAM.2005.08.041zbMath1108.65109OpenAlexW2151196602MaRDI QIDQ861887

Nobito Yamamoto, Kenta Genma

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.08.041

zbMATH Keywords

finite element methodnumerical examplesnonlinear elliptic equationnumerical verificationverified computationNakao method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Some improvements of invertibility verifications for second-order linear elliptic operators ⋮ An alternative approach to norm bound computation for inverses of linear operators in Hilbert spaces ⋮ Some considerations of the invertibility verifications for linear elliptic operators

Uses Software

• INTLAB

Cites Work

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• Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
• Numerical verification of solutions for nonlinear elliptic problems using an \(L^\infty\) residual method
• Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains.
• Computable Finite Element Error Bounds for Poisson's Equation
• A simple method for error bounds of eigenvalues of symmetric matrices

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