A domain decomposition scheme based on equivalence theorem

Li, Mao Kun; Chew, Weng Cho; Jiang, Li Jun

doi:10.1002/mop.21777

Cited by 81 publications

(35 citation statements)

References 11 publications

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“…The procedure depicted by S operator includes three steps [24,25]: outside-in propagation, solving currents on object, and inside-out propagation as shown Fig. 2.…”

Section: Equivalence Principle Algorithmmentioning

confidence: 99%

“…This will lead the reduction of computational time. Equivalence principle algorithm (EPA) which bases on surface equivalence principle and domain decomposition method (DDM) is introduced in [22][23][24][25][26][27][28]. In this algorithm, virtual surfaces are utilized to enclose the sub-regions and translate the unknowns on objects to the unknowns on equivalence surfaces [18,24,28].…”

Section: Introductionmentioning

confidence: 99%

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Radiation Analysis of Large Antenna Array by Using Periodic Equivalence Principle Algorithm

Zhang¹,

Yang²,

Yang³

et al. 2013

PIER

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Abstract-In this paper, an improved equivalence principle algorithm is proposed to solve the radiation problems of large antenna arrays with periodic structures. This method is a hybridization in which the typical scheme of periodic Green's function is combined with the original equivalence principle algorithm. The repeated elements are changed from the original antenna units into the surfaces enclosing the original ones. The proposed approach is compared with periodic method of moments which is based on the integral equation and the periodic Green's function. Numerical results validate the feasibility of the improved method.

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“…The procedure depicted by S operator includes three steps [24,25]: outside-in propagation, solving currents on object, and inside-out propagation as shown Fig. 2.…”

Section: Equivalence Principle Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Radiation Analysis of Large Antenna Array by Using Periodic Equivalence Principle Algorithm

Zhang¹,

Yang²,

Yang³

et al. 2013

PIER

View full text Add to dashboard Cite

show abstract

“…The subdomain which contains a large number of unknowns is enclosed by a virtual surface [14][15][16][17]. Equivalence operator (S operator) and translation operator (T operator) are involved to depict the two main procedures respectively: the scattering of objects via an equivalence surface and the interaction among the different equivalence surfaces.…”

Section: Current Continuity Of Epamentioning

confidence: 99%

“…Equivalence principle algorithm (EPA) [14][15][16][17][18][19], based on the equivalence theorem, is one kind of DDM. In this algorithm, the number of unknowns is reduced by using virtual surfaces to enclose the sub-regions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Multi-Scale Problem About Antenna Mounted on Electrically Large Platform by Using Connected Epa-Po

Zhang¹,

Yang²,

Yang³

et al. 2012

PIER

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Abstract-In this paper, a hybrid method combining equivalence principle algorithm with physical optics is proposed to solve the radiation problem of antenna mounted on electrically large platform. It is based on domain decomposition method which is a scheme for multiscale problems. Equivalence principle algorithm can simulate antenna accurately, and physical optics is an asymptotical method to obtain current distribution on the electrically large platform. Continuity of currents is considered when the conductor on the platform is decomposed into two parts by the equivalence surface. In addition, a preconditioning for the hybridization of equivalence principle algorithm and physical optics is discussed. Numerical results demonstrate the feasibility of the hybrid method.

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“…These methods are similar to each other except the way of generating macro basis function. The other one is domain decomposition methods based on integral equations, including equivalence principle algorithm (EPA) [5][6][7], linear embedding via Green's operator (LEGO) [8], and generalized transition matrix (GTM) [9]. The objectives of these methods are similar by using surface equivalence theorem to transform the unknowns on original objects onto the equivalence surfaces enclosing the objects.…”

Section: Introductionmentioning

confidence: 99%

Full Wave Modeling of Array Structures Using Generalized Single-Source Tangential Equivalence Principle Algorithm

Shao

Dong

2017

International Journal of Antennas and Propagation

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The generalized single-source tangential equivalence principle algorithm (GSST-EPA) is proposed to solve the electromagnetic scattering of array structures with very small distance or even connected elements. For the traditional EPA scheme, it is difficult to deal with those situations. Based on source reconstruction method (SRM), the new GSST-EPA can be used to solve this problem efficiently. This scheme can also reduce the number of unknowns by half via the extinction theorem and keep the good accuracy by using tangential field projection. Furthermore, the multilevel fast multipole algorithm (MLFMA) is used to accelerate the matrixvector multiplication in the GSST-EPA. Several numerical results are given to demonstrate the accuracy and efficiency of the proposed method.

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A domain decomposition scheme based on equivalence theorem

Cited by 81 publications

References 11 publications

Radiation Analysis of Large Antenna Array by Using Periodic Equivalence Principle Algorithm

Radiation Analysis of Large Antenna Array by Using Periodic Equivalence Principle Algorithm

Analysis of Multi-Scale Problem About Antenna Mounted on Electrically Large Platform by Using Connected Epa-Po

Full Wave Modeling of Array Structures Using Generalized Single-Source Tangential Equivalence Principle Algorithm

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