Journal ArticleDOI
The importance of the surface divergence term in the finite element-vector absorbing boundary condition method
V.N. Kanellopoulos,Jon P. Webb +1 more
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Abstract:
The vector absorbing boundary condition (ABC) is an effective way of truncating the infinite domain of a 3-D scattering problem, and thereby permitting its solution with a finite element method. One of the terms of the ABC is a surface divergence term. It is shown that due to its presence, the normal continuity of the field must be enforced on the surface where the ABC is applied. Numerical analysis of scattering by a conducting sphere demonstrates that if normal continuity is not enforced, the maximum error in the near held may more than double. A similar error occurs if the surface divergence term is omitted from the formulation. >read more
Citations
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Finite-element modeling of spontaneous emission of a quantum emitter at nanoscale proximity to plasmonic waveguides
TL;DR: In this paper, a self-consistent finite-element method was developed to quantitatively study spontaneous emission from emitters in nanoscale proximity of plasmonic waveguides.
Journal ArticleDOI
Hybrid finite-element methodologies for antennas and scattering
TL;DR: An overview of the finite-element method (FEM) as applied to electromagnetic scattering and radiation problems with particular emphasis on new developments over the past five years relating to feed modeling, parallelization, and mesh truncation.
Journal ArticleDOI
Finite-element methods in microwaves: a selected bibliography
TL;DR: In this paper, the history and present state of finite-element methods, as applied to electromagnetic-field problems in the microwave range, are reviewed, including element definitions and error estimation, guided wave propagation, scattering and antenna problems.
Journal ArticleDOI
Rigorous, Auxiliary Variable-Based Implementation of a Second-Order ABC for the Vector FEM
TL;DR: In this article, a second-order absorbing boundary condition (ABC) is proposed to preserve the sparsity of the original FEM system upon discretization, where the nonconforming first-order derivatives are projected onto a suitably conforming auxiliary field, of which another derivative can then be taken instead.
Journal ArticleDOI
Implementation of the Second-Order ABC in the FETI-DPEM Method for 3D EM Problems
Yu-Jia Li,Jian-Ming Jin +1 more
TL;DR: A simple approach to enforce an extra continuity condition on the auxiliary variables representing a continuous surface divergence for the electric field at the junctions of the subdomain interfaces and the truncation surface is proposed without altering the overall framework of the FETI-DPEM method.
References
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Journal ArticleDOI
A finite-element-boundary integral formulation for scattering by three-dimensional cavity-backed apertures
Jian-Ming Jin,John L. Volakis +1 more
TL;DR: In this paper, a novel numerical technique is proposed for the electromagnetic characterization of the scattering by a three-dimensional cavity-backed aperture in an infinite ground plane, combining the finite element and boundary integral methods to formulate a system of equations for the solution of the aperture fields and those inside the cavity.
Journal ArticleDOI
Edge elements and what they can do for you
TL;DR: The use of triangular and quadrilateral edge elements for 2D problems is briefly considered in this paper, with particular reference to tetrahedral elements and their useful properties such as continuity, singularity, and separation.
Journal ArticleDOI
Absorbing boundary conditions for the vector wave equation
TL;DR: In this paper, approximate absorbing boundary conditions for the vector wave equation were developed to enable a truncation of the computational domain required to accurately model an open-region electromagnetic scattering problem using the finite element method.
Journal ArticleDOI
Edge-based finite elements and vector ABCs applied to 3-D scattering
TL;DR: In this article, an edge-based finite element formulation with vector absorbing boundary conditions is presented for scattering by composite structures having boundaries satisfying impedance and/or transition conditions, where the mesh is placed a small fraction of a wavelength away from the scatterer.
Journal ArticleDOI
Absorbing boundary conditions for the finite element solution of the vector wave equation
Jon P. Webb,V.N. Kanellopoulos +1 more
TL;DR: In this article, a new second-order absorbing boundary condition (ABC) is proposed, similar to that introduced by Peterson, but capable of being incorporated in a variational principle and consequently leading to symmetric finite-element matrices.