Journal Article10.1109/8.558669
Fast solution methods in electromagnetics
344
TL;DR: Various methods for efficiently solving electromagnetic problems can be roughly classified into surface and volume problems, while fast methods are either differential or integral equation based.
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Abstract: Various methods for efficiently solving electromagnetic problems are presented. Electromagnetic scattering problems can be roughly classified into surface and volume problems, while fast methods are either differential or integral equation based. The resultant systems of linear equations are either solved directly or iteratively. A review of various differential equation solvers, their complexities, and memory requirements is given. The issues of grid dispersion and hybridization with integral equation solvers are discussed. Several fast integral equation solvers for surface and volume scatterers are presented. These solvers have reduced computational complexities and memory requirements.
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Citations
Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
Jun-Sheng Zhao,Weng Cho Chew +1 more
TL;DR: A permutation of the loop-tree or loop-star currents by a connection matrix is proposed, to arrive at a current basis that yields a MoM matrix that can be solved efficiently by iterative solvers.
495
•Book
Computational Electromagnetics for RF and Microwave Engineering
David B. Davidson
- 11 Apr 2005
TL;DR: In this paper, the three most popular full-wave methods, the Finite Difference Time Domain Method (FDTM), the Method of Moments (MOM) and the Fine Element Method (FEEM), are introduced by way of one or two-dimensional problems.
A review of finite-element methods for time-harmonic acoustics
TL;DR: State-of-the-art finite-element methods for time-harmonic acoustics governed by the Helmholtz equation are reviewed and Mesh resolution to control phase error and bound dispersion or pollution errors measured in global norms for large wave numbers in finite- element methods are described.
412
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Allen Taflove
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TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
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