An investigation of near-zone preconditioning techniques for integral equation solutions by method of moments

Wiedenmann, Oliver; Eibert, Thomas F.

doi:10.1109/iceaa.2011.6046348

Cited by 2 publications

(2 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the past, different kinds of near-zone preconditioners have been widely applied to speed up the convergence [3], [4]. It has been shown, though, that the effectiveness of near-zone preconditioners is decreasing with growing problem size [5], especially for second kind integral equations such as the combined field integral equation (CFIE).…”

Section: Introductionmentioning

confidence: 99%

A novel domain decomposition preconditioner for the solution of boundary integral equations

Wiedenmann

Eibert

2013

2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)

View full text Add to dashboard Cite

A novel domain decomposition based preconditioner for the iterative solution of surface integral equations is presented. In this approach, the octree of the Multilevel Fast Multipole Method (MLFMM) is split into several subtrees which form the different computing domains. In order to handle domain interfaces, the near-field interactions between neighboring domains are taken into account and small overlap regions are introduced to form a stable domain decomposition algorithm.Numerical results with open and closed structures demonstrate the capability of the proposed method.

show abstract

Section: Introductionmentioning

confidence: 99%

A novel domain decomposition preconditioner for the solution of boundary integral equations

Wiedenmann

Eibert

2013

2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)

View full text Add to dashboard Cite

show abstract

“…Commonly used near-range preconditioners are Gauss-Seidel, incomplete LU or sparse approximate inverse approaches. Especially for the solution of first-kind integral equations, near-zone preconditioners can considerably improve the convergence (Wiedenmann and Eibert, 2011), so that even a complete LU decomposition of the near-zone matrix can be beneficial regarding the overall computation time (Wiedenmann and Eibert, 2012). In this case, the factorization of the near-field matrix leads to a regularization of the first-kind integral equation which is similar to a transformation into a second-kind integral equation in terms of convergence behavior.…”

Section: Introductionmentioning

confidence: 99%

The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind

Wiedenmann¹,

Eibert²

2013

Adv. Radio Sci.

Self Cite

View full text Add to dashboard Cite

Abstract. The linear equation systems which arise from the discretization of surface integral equations are conveniently solved with iterative methods because of the possibility to employ fast integral methods like the Multilevel Fast Multipole Method. However, especially integral equations of the first kind often lead to very ill-conditioned systems, which require the usage of effective preconditioners. In this paper, the regularization property of near-zone preconditioning operators on the Electric Field Integral Equation is demonstrated and investigated for problems of different size. Furthermore, comparisons are drawn to second-kind integral equations such as the Combined Field Integral Equation.

show abstract

An investigation of near-zone preconditioning techniques for integral equation solutions by method of moments

Cited by 2 publications

References 11 publications

A novel domain decomposition preconditioner for the solution of boundary integral equations

A novel domain decomposition preconditioner for the solution of boundary integral equations

The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind

Contact Info

Product

Resources

About