5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.AP2020★ 5 cited
Weak formulations of the nonlinear Poisson-Boltzmann equation in biomolecular electrostatics
José A. Iglesias, Svetoslav Nakov
We consider the nonlinear Poisson-Boltzmann equation in the context of electrostatic models for a biological macromolecule, embedded in a bounded domain containing a solution of an…
math.NA2018
Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation
Johannes Kraus, Svetoslav Nakov, Sergey Repin
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…
math.NA2018
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation
Johannes Kraus, Svetoslav Nakov, Sergey Repin
We consider a class of nonlinear elliptic problems associated with models in biophysics, which are described by the Poisson-Boltzmann equation (PBE). We prove mathematical correctn…