A multiresolution approach to the electric field integral equation in antenna problems

被引：43

作者：

Andriulli, F. P. ^{[1
]}

Tabacco, A. ^{[1
]}

Vecchi, G. ^{[1
]}

机构：

[1] Politecn Torino, I-10129 Turin, Italy

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2007年 / 29卷 / 01期

关键词：

multiresolution analysis; wavelets; integral equations; method of moments; triangular meshes; antennas;

D O I：

10.1137/050634943

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper deals with a multiresolution approach to the finite-element solution of the electric field integral equation (EFIE) formulation of the boundary value problem for Maxwell equations. After de. ning a multiresolution set of discretized spaces, each of them is first separated into solenoidal and nonsolenoidal complementary spaces. The possibility of obtaining these two spaces with a scalar-to-vector space mapping is used to consider first two separate scalar wavelet decompositions, and then to transform them properly into the two desired vector finite-element sets,finally joined to obtain the complete multiresolution basis. Numerical results, obtained for real life antennas, are presented to verify the actual sparsity of the system matrix and to show the fast convergence behavior of iterative solvers.

引用

页码：1 / 21

页数：21

共 27 条

[1]

BUBKE K, 1998, P 3 INT KHARK S PHYS, V1, P329

[2]

ANALYSIS OF A PROBE-FED MICROSTRIP DISK ANTENNA [J].