Positivity Preserving and Mass Conservative Projection Method for the Poisson–Nernst–Planck Equation
Positivity Preserving and Mass Conservative Projection Method for the Poisson–Nernst–Planck Equation
.We propose and analyze a novel approach to construct structure preserving approximations for the Poisson–Nernst–Planck equations, focusing on the positivity preserving and mass conservation properties. The strategy consists of a standard time marching step with a projection (or correction) step to satisfy the desired physical constraints (positivity and mass conservation). …