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Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation

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arxiv 1906.00785 v1 pith:SCBXFIN5 submitted 2019-06-03 cs.MS

Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation

J. D\"olz , H. Harbrecht , S. Kurz , M. Multerer , S. Sch\"ops , F. Wolf This is my paper
classification cs.MS
keywords bembelisogeometriclibraryboundaryelementfasthelmholtzlaplace
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In this article, we present Bembel, the C++ library featuring higher order isogeometric Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel is compatible with geometries from the Octave NURBS package and provides an interface to the Eigen template library for linear algebra operations. For computational efficiency, it applies an embedded fast multipole method tailored to the isogeometric analysis framework and a parallel matrix assembly based on OpenMP.

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Cited by 3 Pith papers

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    A higher-order isogeometric discretization of the augmented EFIE using NURBS geometry representation that avoids low-frequency breakdown via deflation and demonstrates convergence on academic and realistic cases.