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• W2085364588 abstract "Radial basis function (RBF) approximations have been successfully used to solve boundary-value problems numerically. We show that RBFs can also be used to compute eigenmodes of elliptic operators. Particular attention is given to the Laplacian operator in two dimensions, including techniques to avoid degradation of the solution near the boundaries. For regions with corner singularities, special functions must be added to the basis to maintain good convergence. Numerical results compare favorably to basic finite-element methods." @default.
• W2085364588 created "2016-06-24" @default.
• W2085364588 creator A5041997278 @default.
• W2085364588 creator A5062904806 @default.
• W2085364588 date "2004-08-01" @default.
• W2085364588 modified "2023-09-27" @default.
• W2085364588 title "Computing eigenmodes ofelliptic operators using radial basis functions" @default.
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• W2085364588 doi "https://doi.org/10.1016/j.camwa.2003.08.007" @default.
• W2085364588 hasPublicationYear "2004" @default.
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