Error estimate in an isoparametric finite element eigenvalue problem
Mathematics of Computation
External finite-element approximations of eigenfunctions in the case of multiple eigenvalues
ICCAM'92 Proceedings of the fifth international conference on Computational and applied mathematics
Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
Mathematics of Computation
Finite element approximation of spectral acoustic problems on curved domains
Numerische Mathematik
Convergence analysis for eigenvalue approximations on triangular finite element meshes
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
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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.