Convergence Analysis for Eigenvalue Approximations on Triangular Finite Element Meshes
نویسنده
چکیده
The paper is devoted to the eigenvalue problem for a second order strongly elliptic operator. The problem is considered on curved domains, which require interpolated boundary conditions in approximating finite element formulation. The necessary triangulations for solving the eigenvalue problem consists of isoparametric elements of degree n, where n is any integer greater than two. An approximating numerical quadrature eigenvalue problem is investigated. The considered convergence analysis is a crucial point for estimating of the error in approximating eigenvalues. An isoparametric approach is the basic tool for proving the convergence.
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