Finite element approximation of the elasticity spectral problem on curved domains

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:225

Article

Hernandez, Erwin

关键词: Spectral approximation;    Finite element;    Curved domain;    Mixed boundary condition;   

DOI  :  10.1016/j.cam.2008.08.011

来源: Elsevier

【 摘 要 】

We analyze the finite element approximation of the spectral problem for the linear elasticity equation with mixed boundary conditions on a curved non-convex domain. in the framework of the abstract spectral approximation theory, we obtain optimal order error estimates for the approximation of eigenvalues and eigenvectors. Two kinds of problems are considered: the discrete domain does not coincide with the real one and mixed boundary conditions are imposed. Some numerical results are presented. (c) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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