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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★ 3 cited
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…