Error estimates for the finite element approximation of linear elastic equations in an unbounded domain

DOI10.1090/S0025-5718-00-01285-0zbMath0997.74060OpenAlexW1966555210MaRDI QIDQ2723522

Weizhu Bao, Houde Han

Publication date: 5 July 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01285-0

zbMATH Keywords

error estimatesunbounded domainfinite element approximationartificial boundaryNavier equationsmesh sizeartificial boundary conditionlinear elastic equationscircle in planenonlocal approximate artificial boundary condition

Mathematics Subject Classification ID

Classical linear elasticity (74B05) 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)

Related Items (6)

High‐order artificial boundary conditions for ideal axisymmetric irrotational flow around 3D obstacles ⋮ Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition ⋮ A Dirichlet-to-Neumann finite element method for axisymmetric elastostatics in a semi-infinite domain ⋮ An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems ⋮ A survey on artificial boundary method ⋮ Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method

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