On the best constant in the error bound for the \(H_0^1\)-projection into piecewise polynomial spaces
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Publication:1266108
DOI10.1006/JATH.1998.3172zbMath0907.65100OpenAlexW2065972561MaRDI QIDQ1266108
Nobito Yamamoto, Mitsuhiro T. Nakao, Seiji Kimura
Publication date: 18 February 1999
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1998.3172
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
- Numerical verification of solutions for nonlinear elliptic problems using an \(L^\infty\) residual method
- Explicit error bounds for the derivatives of piecewise-Lidstone interpolation
- Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element
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