Application of of Sobolev gradient method to Poisson-Boltzmann system
The idea of a weighted Sobolev gradient, introduced and applied to singular differential equations in [1], is extended to a Poisson-Boltzmann system with discontinuous coefficients. The technique is demonstrated on fully nonlinear and linear forms of the Poisson- Boltzmann equation in one, two, and three dimensions in a finite difference setting. A comparison between the weighted gradient and FAS multigrid is given for large jump size in the coefficient function. (C) 2010 Elsevier Inc. All rights reserved.
sobolev gradient poisson-boltzmann finite difference fas steepest descent