,A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS

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Poisson-Nest-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system.Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poisson-Nest-Planck equations by coarse grid finite element approximations.Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid algorithms for solving Poisson-Nest-Planck equations.
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