Finite element approximation to a finite-size modified Poisson-Boltzmann equation

DOI10.1007/s10915-010-9441-7zbMath1230.78026OpenAlexW2152345168MaRDI QIDQ649960

Luke N. Olson, Stephen D. Bond, Jehanzeb Hameed Chaudhry

Publication date: 25 November 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9441-7

zbMATH Keywords

finite elementsPoisson-BoltzmannPoisson-Bikerman

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30)

Related Items (6)

Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: analysis without electroneutrality boundary conditions ⋮ A Posteriori Analysis and Efficient Refinement Strategies for the Poisson--Boltzmann Equation ⋮ Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation ⋮ On the analysis and application of an ion size-modified Poisson-Boltzmann equation ⋮ Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations ⋮ A hybrid solver of size modified Poisson-Boltzmann equation by domain decomposition, finite element, and finite difference

Uses Software

• APBS
• SG

Cites Work

• Elliptic partial differential equations of second order
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• Variational Analysis in Sobolev andBVSpaces
• Ion steric effects on electrophoresis of a colloidal particle
• Minimization of Electrostatic Free Energy and the Poisson–Boltzmann Equation for Molecular Solvation with Implicit Solvent
• Introduction to Numerical Continuation Methods
• The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
• Finite Elemente
• Theoretical Numerical Analysis
• Adaptive numerical treatment of elliptic systems on manifolds
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