A new box iterative method for a class of nonlinear interface problems with application in solving Poisson-Boltzmann equation

DOI10.1016/j.cam.2016.01.005zbMath1348.65170OpenAlexW2232698593MaRDI QIDQ298248

Dexuan Xie, Jinyong Ying

Publication date: 20 June 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.01.005

zbMATH Keywords

domain decompositionfinite element methodsnonlinear boundary value problemfinite difference methodselectrostaticsPoisson-Boltzmann equationnumerical resultinterface problemssecond-order nonlinear elliptic problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite difference methods for boundary value problems involving PDEs (65N06) Electro- and magnetostatics (78A30) Boltzmann equations (35Q20)

Related Items (9)

A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation ⋮ Unnamed Item ⋮ An immersed finite element method for elliptic interface problems in three dimensions ⋮ Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method ⋮ A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule ⋮ Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems ⋮ A hybrid solver of size modified Poisson-Boltzmann equation by domain decomposition, finite element, and finite difference ⋮ A simple and efficient technique to accelerate the computation of a nonlocal dielectric model for electrostatics of biomolecule ⋮ Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

Uses Software

• PETSc
• NewtonLib
• IIMPACK
• PBEQ-Solver

Cites Work

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• Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
• The Mathematical Theory of Finite Element Methods
• The Immersed Interface Method
• A Poisson-Boltzmann equation test model for protein in spherical solute region and its applications

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