A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation

DOI10.1016/j.cam.2008.07.024zbMath1157.78002OpenAlexW1978017440MaRDI QIDQ1004012

Aihui Zhou, Ying Yang

Publication date: 2 March 2009

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.2008.07.024

zbMATH Keywords

Green's functionfinite elementthree dimensionsPoisson-Boltzmann equationelectrostatic potentialrecovery approach

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (1)

Two-scale finite element Green's function approximations with applications to electrostatic potential computation

Uses Software

• APBS

Cites Work

• Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis
• Error analysis for a potential problem on locally refined grids
• Interior Maximum Norm Estimates for Finite Element Methods
• Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media
• The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
• Equivalent Norms for Sobolev Spaces
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