Some remarks on the behaviour of the finite element solution in nonsmooth domains

DOI10.1016/J.AML.2007.11.005zbMath1184.35120OpenAlexW2032275772MaRDI QIDQ847399

Takehiko Kinoshita, Mitsuhiro T. Nakao

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/6098

zbMATH Keywords

Poisson equationresidual errornonsmooth domain

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

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 ⋮ A numerical verification method for nonlinear functional equations based on infinite-dimensional Newton-like iteration

Cites Work

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• Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
• Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element
• 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
• Computer-assisted enclosure methods for elliptic differential equations

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