An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

DOI10.4208/cicp.270713.280214azbMath1388.65162OpenAlexW2469052624MaRDI QIDQ5372278

Peimeng Yin, Yunqing Huang, Hai-liang Liu

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.270713.280214a

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Semilinear elliptic equations (35J61)

Related Items (6)

A new discontinuous Galerkin method for the nonlinear Poisson-Boltzmann equation ⋮ Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations ⋮ On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics ⋮ Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation ⋮ Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations ⋮ Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems

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