A Fast Solver for a Nonlocal Dielectric Continuum Model

DOI10.1137/110839254zbMath1260.78016OpenAlexW2067895721MaRDI QIDQ2904833

Peter Brune, L. Ridgway Scott, Yi Jiang, Dexuan Xie

Publication date: 23 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/efd2515271ac5192680b6eb9ebf79c4669c6c0d5

zbMATH Keywords

finite element methodPoisson equationelectrostatic potentialnonlocal dielectric continuum model

Mathematics Subject Classification ID

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) Computational methods for problems pertaining to biology (92-08) Electro- and magnetostatics (78A30)

Related Items (8)

An improved finite integration method for nonlocal nonlinear Schrödinger equations ⋮ SDPBS web server for calculation of electrostatics of ionic solvated biomolecules ⋮ Nonlocal electrostatics in spherical geometries using eigenfunction expansions of boundary-integral operators ⋮ Multiscale geometric modeling of macromolecules. I: Cartesian representation ⋮ Comparative assessment of nonlocal continuum solvent models exhibiting overscreening ⋮ Poisson-Fermi formulation of nonlocal electrostatics in electrolyte solutions ⋮ An implicit boundary integral method for computing electric potential of macromolecules in solvent ⋮ A nonlocal modified Poisson-Boltzmann equation and finite element solver for computing electrostatics of biomolecules

Uses Software

• UMFPACK
• PETSc
• Trilinos
• DOLFIN

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