A new box iterative method for a class of nonlinear interface problems with application in solving Poisson–Boltzmann equation
作者：
Highlights：
• Present a new box iterative method for a class of nonlinear interface problems.
• Obtain a new hybrid solver of Poisson–Boltzmann Equation (PBE) as application.
• Develop a new Newton-PCG-MG scheme for nonlinear boundary value problems.
• Obtain a simple series solution for Poisson ball test model with multiple charges.
• Validate the new PBE hybrid software and demonstrate its high performance.
摘要
•Present a new box iterative method for a class of nonlinear interface problems.•Obtain a new hybrid solver of Poisson–Boltzmann Equation (PBE) as application.•Develop a new Newton-PCG-MG scheme for nonlinear boundary value problems.•Obtain a simple series solution for Poisson ball test model with multiple charges.•Validate the new PBE hybrid software and demonstrate its high performance.
论文关键词：92-08,65N30,65N06,65N55,Interface problems,Poisson–Boltzmann equation,Domain decomposition,Finite element methods,Finite difference methods,Electrostatics
论文评审过程：Received 18 July 2015, Revised 5 January 2016, Available online 14 January 2016, Version of Record 7 June 2016.
论文官网地址：https://doi.org/10.1016/j.cam.2016.01.005
