Derives a third-order accurate perturbation approximation to the mean scattered field for time-harmonic EM scattering on random perfectly conducting domains using the second shape derivative and boundary integral equations.
Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation
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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.
verdicts
UNVERDICTED 3representative citing papers
Spline-based shape optimization via isogeometric integral equation simulation yields a multi-tapered coaxial balun with reduced scattering parameter magnitude across frequencies.
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.
citing papers explorer
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A higher order perturbation approach for electromagnetic scattering problems on random domains
Derives a third-order accurate perturbation approximation to the mean scattered field for time-harmonic EM scattering on random perfectly conducting domains using the second shape derivative and boundary integral equations.
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Isogeometric Shape Optimization of Multi-Tapered Coaxial Baluns Simulated by an Integral Equation Method
Spline-based shape optimization via isogeometric integral equation simulation yields a multi-tapered coaxial balun with reduced scattering parameter magnitude across frequencies.
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A Low-Frequency-Stable Higher-Order Isogeometric Discretization of the Augmented Electric Field Integral Equation
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.