A third-order mixed finite-element method for the numerical solution of the biharmonic problem

DOI10.1016/0377-0427(94)90323-9zbMath0810.65105OpenAlexW2056466041MaRDI QIDQ1334790

Terenzio Scapolla

Publication date: 22 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90323-9

zbMATH Keywords

Dirichlet problemsbiharmonic equationerror boundserendipity elementthird-order mixed finite element method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

• Combining hierarchic high order and mixed-interpolated finite elements for Reissner-Mindlin plate problems
• Benchmark computation and performance evaluation for a rhombic plate bending problem
• Mixed and Hybrid Finite Element Methods
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
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