Abstract
We review non-conformal domain decomposition methods (DDMs) and their applications in solving electrically large and multi-scale electromagnetic (EM) radiation and scattering problems. In particular, a finite-element DDM, together with a finite-element tearing and interconnecting (FETI)-like algorithm, incorporating Robin transmission conditions and an edge corner penalty term, are discussed in detail. We address in full the formulations, and subsequently, their applications to problems with significant amounts of repetitions. The non-conformal DDM approach has also been extended into surface integral equation methods. We elucidate a non-conformal integral equation domain decomposition method and a generalized combined field integral equation method for modelling EM wave scattering from non-penetrable and penetrable targets, respectively. Moreover, a plane wave scattering from a composite mockup fighter jet has been simulated using the newly developed multi-solver domain decomposition method.
Original language | English (US) |
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Pages (from-to) | 2433-2460 |
Number of pages | 28 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 468 |
Issue number | 2145 |
DOIs | |
State | Published - Sep 8 2012 |
Externally published | Yes |
Keywords
- Domain decomposition method
- Generalized combined field integral equation
- Integral equation domain decomposition method
- Multi-solver domain decomposition method
- Surface integral equation
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy