Finite element approximation of the elasticity spectral problem on curved domains |
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Authors: | Erwin Herná ndez |
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Affiliation: | Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile |
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Abstract: | 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. |
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Keywords: | Spectral approximation Finite element Curved domain Mixed boundary condition |
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