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.
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Keywords
- Fundamental Solution
- Boundary Element Method
- Boundary Integral Equation
- Representation Formula
- Exterior Domain
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© 2008 Springer-Verlag Berlin Heidelberg
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Fasel, C., Rjasanow, S., Steinbach, O. (2008). A Boundary Integral Formulation for Nonlocal Electrostatics. In: Kunisch, K., Of, G., Steinbach, O. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69777-0_13
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DOI: https://doi.org/10.1007/978-3-540-69777-0_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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