The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
A widely used electrostatics model in the biomolecular modeling community, the nonlinear Poisson–Boltzmann equation, along with its finite element approximation, are analyzed in this paper. A regularized Poisson–Boltzmann equation is introduced as an auxiliary problem, making it possible to study the original nonlinear equation with delta distribution sources. A priori …