Piecewise polynomials and the finite element method
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Publication:4772194
DOI10.1090/S0002-9904-1973-13351-8zbMath0285.41009OpenAlexW2077567726MaRDI QIDQ4772194
Publication date: 1974
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13351-8
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)
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Cites Work
- Approximation in the finite element method
- A Census of Planar Triangulations
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Variational methods for the solution of problems of equilibrium and vibrations
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