A mortar finite element approximation for the linear Poisson-Boltzmann equation
type: Item
instance of: scholarly article
title: A mortar finite element approximation for the linear Poisson-Boltzmann equation
zbMATH Open document ID: 1117.65152
author: Wenbin Chen
author: Yifan Shen
author: Qing Xia
published in: Applied Mathematics and Computation
publication date: 2005-05-04T00:00:00Z
review text: The authors develop a numerical method for the linear Poisson-Boltzmann equation \(-\nabla\cdot (\varepsilon (x)\nabla\phi (x))+\kappa (x)\phi (x)=\sum_{i=1}^Kq_i\delta (x-x_i)\), where \(\delta\) denotes the Dirac distribution and \(\varepsilon (x)\) is the dielectric potential. After introducing a weak formulation for this equation, the authors justify the existence of a solution. Next, a special mortar condition is constructed to deal with the jumps of the solution and coefficients. In the last part of the paper the authors establish the convergence of numerical approximations.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 2165257
zbMATH Keywords: fundamental solution
zbMATH Keywords: Poisson-Boltzmann equation
zbMATH Keywords: mortar finite element
zbMATH Keywords: artificial boundary
MaRDI profile type: Publication
full work available at URL: j.amc.2004.04.058
OpenAlex ID: W2110576791
cites work: Equivalent Norms for Sobolev Spaces
cites work: Q4300595
cites work: Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains
cites work: A mortar element method for elliptic problems with discontinuous coefficients
cites work: A Multigrid Method for the Mortar-Type Morley Element Approximation of a Plate Bending Problem
DOI: 10.1016/J.AMC.2004.04.058
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description: scientific article; zbMATH DE number 2165257