The reduced basis method for the electric field integral equation

被引：48

作者：

Fares, M.

Hesthaven, J. S. ^{[2
]}

Maday, Y. ^{[3
]}

Stamm, B. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[3] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 14期

基金：

美国国家科学基金会;

关键词：

Reduced basis method; Scattering problems; RCS-computations; Boundary Element Method; PARTIAL-DIFFERENTIAL-EQUATIONS; MAXWELLS EQUATIONS; INTERPOLATION METHOD; LIPSCHITZ POLYHEDRA; BASIS APPROXIMATION; ERROR ESTIMATION; OUTPUT BOUNDS; TRACES; POINTS; SHAPE;

D O I：

10.1016/j.jcp.2011.03.023

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We introduce the reduced basis method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using a standard Boundary Element Method (BEM) for the parametrized electric field integral equation (EFIE). This combination enables an algorithmic cooperation which results in a two step procedure. The first step consists of a computationally intense assembling of the reduced basis, that needs to be effected only once. In the second step, we compute output functionals of the solution, such as the Radar Cross Section (RCS), independently of the dimension of the discretization space, for many different parameter values in a many-query context at very little cost. Parameters include the wavenumber, the angle of the incident plane wave and its polarization. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：5532 / 5555

页数：24

共 41 条

[1] AUTOMATIC CHOICE OF GLOBAL SHAPE FUNCTIONS IN STRUCTURAL-ANALYSIS [J].