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Non-polynomial spline alternatives in isogeometric symmetric Galerkin BEM. (English) Zbl 1372.65316
Summary: The application of the Isogeometric Analysis (IgA) paradigm to Symmetric Galerkin Boundary Element Method (SGBEM) is investigated. In order to obtain a very flexible approach, the study is here developed by using non-polynomial spline functions to represent both the domain boundary and the approximate solution. The numerical comparison between IGA-SGBEM and both curvilinear and standard SGBEM approaches shows the general capability of the presented method to produce accurate approximate solutions with less degrees of freedom.

65N38 Boundary element methods for boundary value problems involving PDEs
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