Journal ArticleDOI
Effects of Boundary Regularity on the Discretization Error in the Fixed Membrane Eigenvalue Problem
J. H. Bramble,B. E. Hubbard +1 more
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This article is published in SIAM Journal on Numerical Analysis.The article was published on 1968-12-01. It has received 15 citations till now. The article focuses on the topics: Free boundary problem & Divide-and-conquer eigenvalue algorithm.read more
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Eigenvalues of the Laplacian in Two Dimensions
J. R. Kuttler,V.G. Sigillito +1 more
TL;DR: The eigenvalue problem for the Laplace operator in two dimensions is classical in mathematics and physics as mentioned in this paper, and computational methods for estimating the eigenvalues are still of much current interest, particularly in applications to acoustic and electromagnetic waveguides.
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Diskrete Approximation von Eigenwertproblemen
TL;DR: The Existenz asymptotischer Entwicklungen kann bei vieIen numerischen Verfahren sehr vorteilhaft ausgenutzt werden as mentioned in this paper.
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Diskrete Approximation von Eigenwertproblemen: II. Konvergenzordnung
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Finite Difference Approximations for Eigenvalues of Uniformly Elliptic Operators
TL;DR: Theorem 5.1 and 6.4 of as discussed by the authors give asymptotic estimates for this error as the mesh width tends to zero, which are applied to specific examples in? 7.4.
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Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem
TL;DR: Two-grid and two-space skills are presented to accelerate the weak Galerkin method by choosing parameters properly, which not only doubles the convergence rate, but also maintains the asymptotic lower bounds property of theWeak Galerkins method.