Finite element methods are not always optimal

DOI10.1016/0196-8858(87)90028-5zbMath0633.65107OpenAlexW2126763361MaRDI QIDQ1096364

Arthur G. Werschulz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0196-8858(87)90028-5

zbMATH Keywords

Galerkin methodSobolev spacesfinite element methodoptimal algorithmsN-widths of compactsspline algorithm

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Complexity of differential and integral equations, Galerkin method and optimal error algorithms in Hilbert spaces, Optimal algorithms for a problem of optimal control, Optimal approximation of elliptic problems by linear and nonlinear mappings. I

Cites Work

• Interpolation theory over curved elements, with applications to finite element methods
• Optimal Error Properties of Finite Element Methods for Second Order Elliptic Dirichlet Problems
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