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• W2896665189 abstract "We study the generalized finite element methods (GFEMs) for the second-order elliptic eigenvalue problem with an interface in 1D. The linear stable generalized finite element methods (SGFEM) were recently developed for the elliptic source problem with interfaces. We first generalize SGFEM to arbitrary order elements and establish the optimal error convergence of the approximate solutions for the elliptic source problem with an interface. We then apply the abstract theory of spectral approximation of compact operators to establish the error estimation for the eigenvalue problem with an interface. The error estimations on eigenpairs strongly depend on the estimation of the discrete solution operator for the source problem. We verify our theoretical findings in various numerical examples including both source and eigenvalue problems." @default.
• W2896665189 created "2018-10-26" @default.
• W2896665189 creator A5024876563 @default.
• W2896665189 creator A5091728887 @default.
• W2896665189 date "2018-10-24" @default.
• W2896665189 modified "2023-09-27" @default.
• W2896665189 title "Higher order stable generalized finite element method for the elliptic eigenvalue problem with an interface in 1D." @default.
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• W2896665189 hasPublicationYear "2018" @default.
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