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• W2098984972 abstract "Abstract In this article, we consider the problem of optimal approximation of eigenfunctions of Schrödinger operators with isolated inverse square potentials and of solutions to equations involving such operators. It is known in this situation that the finite element method performs poorly with standard meshes. We construct an alternative class of graded meshes, and prove and numerically test optimal approximation results for the finite element method using these meshes. Our numerical tests are in good agreement with our theoretical results.Copyright © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1130–1151, 2014" @default.
• W2098984972 created "2016-06-24" @default.
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• W2098984972 date "2014-02-06" @default.
• W2098984972 modified "2023-09-26" @default.
• W2098984972 title "Analysis of Schrödinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case" @default.
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• W2098984972 doi "https://doi.org/10.1002/num.21861" @default.
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