Iterative solution method for the linearized Poisson-Boltzmann equation: Indirect boundary integral equation approach
SCIE
SCOPUS
- Title
- Iterative solution method for the linearized Poisson-Boltzmann equation: Indirect boundary integral equation approach
- Authors
- Kim, MJ; Yoon, BJ
- Date Issued
- 2001-04-01
- Publisher
- ACADEMIC PRESS INC
- Abstract
- An iterative solution scheme is proposed for solving the electrical double-layer interactions governed by the linearized Poisson-Boltzmann equation. The method is based on the indirect integral equation formulation with the double-layer potential kernel of the linearized Poisson-Boltzmann equation. In contrast to the conventional direct integral equation approach that yields Fredholm integral equations of the first kind, the indirect integral equation approach yields well-posed Fredholm integral equations of the second kind. The eigenvalue analysis reveals that the spectral radius of the double-layer integral operator is always less than one. Thus, iterative solution schemes can be successfully implemented for solving the electrical double-layer interactions for very large and complex systems. The utility of the iterative indirect method is demonstrated for several examples which include spherical and spheroidal particles, (C) 2001 academic Press.
- Keywords
- boundary element method; electrical double layer; Fredholm integral equation of the second kind; iterative solution; Poisson-Boltzmann equation; SPHERICAL COLLOIDAL PARTICLES; 2 DISSIMILAR SPHERES; ELECTROSTATIC INTERACTIONS; CHARGED SURFACE; COMPUTATION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/21003
- DOI
- 10.1006/jcis.2000.7382
- ISSN
- 0021-9797
- Article Type
- Article
- Citation
- JOURNAL OF COLLOID AND INTERFACE SCIENCE, vol. 236, no. 1, page. 173 - 179, 2001-04-01
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