Numerical solution method for the dbar-equation in the plane

被引：70

作者：

Knudsen, K

Mueller, J

Siltanen, S

机构：

[1] Aalborg Univ, Dept Math Sci, DK-9220 Aalborg 0, Denmark

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

[3] Gunma Univ, Dept Math, Kiryu, Gumma 3768515, Japan

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 198卷 / 02期

基金：

日本学术振兴会; 美国国家科学基金会;

关键词：

inverse scattering; dbar-equation; FFT; electrical impedance tomography; multigrid method;

D O I：

10.1016/j.jcp.2004.01.028

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 [计算机应用技术]; 0835 [软件工程];

摘要：

A fast method for solving (partial derivative) over bar -equations of the form partial derivative(v) = Tpartial derivative is presented, where v and T are complex-valued functions of two real variables. The multigrid method of Vainikko [Int. Soc. Anal. Appl. Comput. 5 (2000)] is adapted to the problem with a FFT implementation. Convergence with rate (9(h) is proved for the method applied to equations of the form above. One-grid and two-grid versions of the method are implemented and their effectiveness is demonstrated on an application arising in electrical impedance tomography (EIT). (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：500 / 517

页数：18

共 40 条

[1]

EVOLUTION OF PACKETS OF WATER-WAVES [J].