Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
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Publication:1326465
DOI10.1007/BF01385765zbMath0797.65081OpenAlexW1994580468MaRDI QIDQ1326465
Mitsuhiro T. Nakao, Nobito Yamamoto
Publication date: 9 October 1994
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133748
numerical exampleerror estimatesfinite elementelliptic equations\(L\)-shaped domainnonconvex domainsregular domains
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)
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Cites Work
- Numerical verifications of solutions for nonlinear elliptic equations
- A numerical verification method for the existence of weak solutions for nonlinear boundary value problems
- A numerical approach to the proof of existence of solutions for elliptic problems II
- A numerical approach to the proof of existence of solutions for elliptic problems
- Numerical verifications of solutions for elliptic equations with strong nonlinearity
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