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

2019/06/03 by J. Dölz, Dölz, J., H. Harbrecht +9 · 2 citations
Computer Science · #FOS: Computer and information sciences #Mathematical Software (cs.MS) #cs.MS

paper · pdf · doi:10.48550/arxiv.1906.00785

arxiv created 2019/06/03 · arxiv updated 2019/06/04

Abstract

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.

Cited by

• A Higher-Order Time Domain Boundary Element Formulation based on Isogeometric Analysis and the Convolution Quadrature Method
• CAD-Integrated Electrostatic Boundary Element Simulations with Non-Conforming Higher-Order Meshes

Related

• Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples
• A Numerical Comparison of an Isogeometric and a Classical Higher-Order Approach to the Electric Field Integral Equation
• BEM3D: a free adaptive fast multipole boundary element library
• Recent Advances of Isogeometric Analysis in Computational\n Electromagnetics
• A Higher-Order Time Domain Boundary Element Formulation based on Isogeometric Analysis and the Convolution Quadrature Method