A modified boundary integral equation for solving the exterior Robin problem for the Helmholtz equation in three dimensions
- A boundary integral equation with modified fundamental solution to solve the exterior Robin problem for Helmholtz’s equation is considered. A specific choice of the coefficients of these added terms ensure the unique solvability and, in addition, they can be chosen to ensure the minimization of the least-squares difference of the modified and the exact Green’s function or the minimization of the condition number. Numerical results are reported showing the robustness and the superconvergence of the new method.
Author: | Andreas Kleefeld |
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URL: | http://www.sciencedirect.com/science/article/pii/S009630031200848X# |
DOI: | https://doi.org/10.1016/j.amc.2012.08.055 |
ISSN: | 0096-3003 |
Title of the source (English): | Applied Mathematics and Computation |
Document Type: | Scientific journal article peer-reviewed |
Language: | English |
Year of publication: | 2012 |
Tag: | Boundary integral equation; Modified fundamental solution; Helmholtz equation; Exterior Robin problem; Superconvergence |
Volume/Year: | 2012 |
Issue number: | 219 |
First Page: | 2114 |
Last Page: | 2123 |
Faculty/Chair: | Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Numerische Mathematik und Wissenschaftliches Rechnen |
Institution name at the time of publication: | Fakultät für Mathematik, Naturwissenschaften und Informatik (eBTU) / LS Mathematik, insbesondere Numerische Mathematik und Wissenschaftliches Rechnen |