Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains.

DOI10.1016/S0377-0427(03)00569-7zbMath1033.65097MaRDI QIDQ1410857

Nobito Yamamoto, Keisuke Hayakawa

Publication date: 15 October 2003

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

zbMATH Keywords

convergencefinite element methodnumerical exampleserror estimationnonconvex polygonal domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (4)

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

• 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
• A simple method for error bounds of eigenvalues of symmetric matrices
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