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In this paper, we develop a domain-decomposition method for the generalizedPoisson-Boltzmann equation based on a solvent-excluded surface which is widelyused in computational chemistry. The solver requires to solve a generalizedscreened Poisson (GSP) equation defined in $\mathbb{R}^3$ with aspace-dependent dielectric permittivity and an ion-exclusion function thataccounts for Steric effects. Potential theory arguments transform the GSPequation into two-coupled equations defined in a bounded domain. Then, theSchwarz decomposition method is used to formulate local problems by decomposingthe cavity into overlapping balls and only solving a set of coupledsub-equations in each ball in which, the spherical harmonics and the Legendrepolynomials are used as basis functions in the angular and radial directions. Aseries of numerical experiments are presented to test the method.

Domain decomposition method for Poisson--Boltzmann equations based on Solvent Excluded Surface