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A sixth order fast direct helmholtz equation solver |
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| Authors: | EN Houstis RE Lynch TS Papatheodorou |
| Affiliation: | Department of Mathematics, Computer Science, and Statistics, University of South Carolina, Columbia, SC 29208, U.S.A.;Department of Computer Science, Purdue University, West Lafayette, IN 47907, U.S.A.;Department of Mathematics and Computer Science, Clarkson College of Technology, Potsdam, NY 13676, U.S.A. |
| Abstract: | An O(h6) accurate difference approximation to solutions of the Helmholtz equation is derived. The discrete equations are solved using a reduction procedure and Fourier analysis. Its computational performance is compared with a fourth order similar method over a set of linear and mildly nonlinear elliptic boundary value problems. |
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