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Adaptive Mesh Enrichment for the Poisson–Boltzmann Equation

✍ Scribed by Pavel Dyshlovenko

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
100 KB
Volume
172
Category
Article
ISSN
0021-9991

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✦ Synopsis

An adaptive mesh enrichment procedure for a finite-element solution of the twodimensional Poisson-Boltzmann equation is described. The mesh adaptation is performed by subdividing the cells using information obtained in the previous step of the solution and next rearranging the mesh to be a Delaunay triangulation. The procedure allows the gradual improvement of the quality of the solution and adjustment of the geometry of the problem. The performance of the proposed approach is illustrated by applying it to the problem of two identical colloidal particles in a symmetric electrolyte.

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