English

Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation

Numerical Analysis 2018-05-30 v1

Abstract

In this paper we have derived explicitly computable bounds on the error in energy norms for the fully nonlinear Poisson-Boltzmann equation. Together with the computable bounds, we have also obtained efficient error indicators which can serve as a basis for a reliable adaptive finite element algorithm.

Keywords

Cite

@article{arxiv.1805.11441,
  title  = {Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation},
  author = {Johannes Kraus and Svetoslav Nakov and Sergey Repin},
  journal= {arXiv preprint arXiv:1805.11441},
  year   = {2018}
}

Comments

36 pages, 8 figures, 16 tables

R2 v1 2026-06-23T02:11:54.640Z