A Boundary Integral Formulation for Nonlocal Electrostatics

C. Fasel (), S. Rjasanow () and O. Steinbach ()
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C. Fasel: Saarland University, Department of Mathematics
S. Rjasanow: Saarland University, Department of Mathematics
O. Steinbach: Graz University of Technology, Institute of Computational Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 117-124 from Springer

Abstract: Abstract In the field of protein binding, it is important to gain some knowledge about the electric field surrounding the concerning biomolecules. Most of the interesting action takes place inside cells where the medium is similar to water, which is a nonlocal medium. To handle this nonlocal behavior caused by a network of hydrogen bonds, we formulate an interface problem in terms of a system of coupled partial differential equations involving the Laplace and the Yukawa operator. Furthermore, we deduce for the system a fundamental solution and an associated representation formula. We finally derive a boundary integral formulation to determine the complete Dirichlet and Neumann data.

Keywords: Fundamental Solution; Boundary Element Method; Boundary Integral Equation; Representation Formula; Exterior Domain (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_13

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DOI: 10.1007/978-3-540-69777-0_13

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