A domain decomposition method for the solution of large electromagnetic problems using a massively parallel hybrid finite element - integral equation MLFMA [multilevel fast multipole algorithm]

2004 ◽  
Author(s):  
D. Goudin ◽  
M. Mandallena ◽  
K. Mer-Nkonga ◽  
B. Stupfel
Keyword(s):  
Integral Equation ◽  
Finite Element ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Massively Parallel ◽  
Electromagnetic Problems ◽  
Hybrid Finite Element ◽  
Parallel Hybrid ◽  
Multilevel Fast Multipole Algorithm ◽  
Fast Multipole Algorithm

scholarly journals Non-conformal domain decomposition methods for time-harmonic Maxwell equations

2012 ◽  
Vol 468 (2145) ◽  
pp. 2433-2460 ◽  
Author(s):  
Yang Shao ◽  
Zhen Peng ◽  
Kheng Hwee Lim ◽  
Jin-Fa Lee
Keyword(s):  
Integral Equation ◽  
Finite Element ◽  
Domain Decomposition ◽  
Wave Scattering ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Decomposition Methods ◽  
Domain Decomposition Methods ◽  
Surface Integral ◽  
Scattering Problems

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.

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