Show simple item record

dc.contributor.authorMokgolele, Mosiamisi
dc.date.accessioned2021-05-10T06:26:36Z
dc.date.available2021-05-10T06:26:36Z
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/11071/10487
dc.descriptionPaper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.en_US
dc.description.abstractConsider scattering of a time-harmonic acoustic incident plane wave by a sound soft convex curvilinear polygon with Lipschitz boundary. Standard boundary or finite element methods, with a piecewise polynomial approximation space, the number of degrees of freedom required to achieve a prescribed level of accuracy grows at least linearly with respect to the frequency of the incident wave. Langdon, Mokgolele and Chandler-Wilde proposed a novel Galerkin boundary element method with a hybrid approximation space, consisting of the products of plane wave basis functions with piecewise polynomials supported on several overlapping meshes, a uniform mesh on illuminated sides and graded meshes refined towards the corners of the polygon on illuminated and shadow sides. Numerical experiments suggest that the number of degrees of freedom required to achieve a prescribed level of accuracy need only grow logarithmically as the frequency of the incident wave increases. In this paper we discuss issues related to fully implementation of their numerical method.en_US
dc.language.isoenen_US
dc.publisherStrathmore Universityen_US
dc.subjectConvex curvilinear polygonen_US
dc.subjectHigh frequencyen_US
dc.subjectWaveen_US
dc.titleImplementation of a high frequency scattering by convex curvilinear polygonen_US
dc.typeArticleen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

  • SIMC 2017 [85]
    4th Strathmore International Mathematics Conference (June 19 – 23, 2017)

Show simple item record