Conform and mixed finite element schemes for the Dirichlet problem for the Bilaplacian in plane domains with corners

DOI10.1002/mma.1670010305zbMath0439.65091OpenAlexW2014915898MaRDI QIDQ3881855

Publication date: 1979

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670010305

zbMATH Keywords

Dirichlet problem weighted Sobolev spaces finite element methods convergence rate unique solvability Laplace's equation polygonal domains Bilaplacian equation clamped bent plate conforming variational schemes plane domains with corners

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (7)

A new three-field formulation of the biharmonic problem and its finite element discretization ⋮ A preconditioner for a kind of coupled FEM-BEM variational inequality ⋮ Unnamed Item ⋮ On the finite element method for the biharmonic Dirichlet problem in polygonal domains; quasi-optimal rate of convergence ⋮ A posteriori error estimate for the symmetric coupling of finite elements and boundary elements ⋮ Singularities and treatments of elliptic boundary value problems. ⋮ Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D

Cites Work

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