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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.

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Author: Andreas Kleefeld
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
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