Numerical solution method for the dbar-equation in the plane
Numerical solution method for the dbar-equation in the plane
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DOI：
10.1016/j.jcp.2004.01.028
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发表时间：
2004-08-10
影响因子：
4.1
通讯作者：
Siltanen, S
中科院分区：
文献类型：
--
作者：
Knudsen, K;Mueller, J;Siltanen, S
本文给出了求偏导数（v）= T偏导数形式的条形方程（偏导数）的一种快速方法，其中v和T是两个真实的变量的复值函数。Vainikko的多重网格方法[Int. Soc. Anal.应用程序计算5（2000）]适用于FFT实现的问题。证明了该方法应用于上述形式的方程时以速度（θ（h））收敛。一个网格和两个网格版本的方法实现，并证明其有效性的电阻抗断层成像（EIT）中出现的应用程序。(C)2004年爱思唯尔公司All rights reserved.
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.