Approximate solutions to Poisson-Boltzmann systems with Sobolev gradients

被引：8
|
作者：
Majid, Abdul [1 ]
Sial, Sultan [1 ]
机构：
[1] Lahore Univ Management Sci, Dept Math, Opposite Sector U, DHA, Lahore Cantt, Pakistan
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 14期
关键词：
Sobolev gradient; PBE; Finite element; Steepest descent; Preconditioner; Newton's method;
D O I：
10.1016/j.jcp.2011.03.056
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A weighted Sobolev gradient approach [1] is presented to a nonlinear PBE [2] with discontinuous coefficient functions. A comparison is given between the weighted and unweighted Sobolev gradient in the finite element setting in two and three dimensions. Behavior of the various Sobolev gradients is discussed for large jump size in the coefficient. A comparison with Newton's method is given where the failure of Newton's method is demonstrated for a test problem. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5732 / 5738
页数：7
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