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dc.creatorEngquist, B.en
dc.creatorTran, K.en
dc.creatorYing, L. X.en
dc.date.accessioned2015-04-16T14:48:05Zen
dc.date.available2015-04-16T14:48:05Zen
dc.date.issued2009-03en
dc.identifier.citationBjörn Engquist, Khoa Tran, and Lexing Ying. AIP Conference Proceedings 1106, 3 (Mar., 2009); doi: 10.1063/1.3117111en
dc.identifier.issn0094-243Xen
dc.identifier.issn978-0-7354-0643-8en
dc.identifier.urihttp://hdl.handle.net/2152/29459en
dc.description.abstractThis paper deals with numerical methods for high frequency wave scattering. It introduces a new hybrid technique that couples a directional fast multipole method for a subsection of it scattering surface to an asymptotic formulation over the rest of the scattering domain. The directional fast multipole method is new and highly efficient for the solution of the boundary integral formulation of a general scattering problem but it requires at least a few unknowns per wavelength on the boundary. The asymptotic method that was introduced by Bruno and collaborators requires much fewer unknowns. Oil the other hand the scattered field must have a simple structure. Hybridization of these two methods retains their best properties for the solution of the full problem, Numerical examples are given for the solution of the Helmholtz equation in two space dimensions.en
dc.language.isoEnglishen
dc.rightsAdministrative deposit of works to UT Digital Repository: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en
dc.subjecthigh frequency scatteringen
dc.subjecthelmholtz equationen
dc.subjectboundary integralen
dc.subjectequationen
dc.subjectdirectional fast multipole methoden
dc.subjecthybrid methoden
dc.subject2 dimensionsen
dc.subjectimplementationen
dc.subjectequationen
dc.subjectmathematics, applieden
dc.subjectphysics, applieden
dc.titleFast Hybrid Algorithms For High Frequency Scatteringen
dc.typeArticleen
dc.description.departmentMathematicsen
dc.identifier.doi10.1063/1.3117111en
dc.contributor.utaustinauthorEngquist, Björnen
dc.relation.ispartofserialMathematical Modeling of Wave Phenomenaen_US


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