DISCONTINUOUS GALERKIN METHOD FOR
THE LINEAR POISSON-BOLTZMANN EQUATION
Luciano Bedin$^1$, Paulo Rafael Bösing$^2$
$^{1,2}$Department of Mathematics
Federal University of Santa Catarina
Trindade, 88040-900, Florianópolis - SC, BRAZIL
Abstract. We consider a boundary value problem for the linear Poisson-Boltzmann equation. A regularization method is introduced to solve the problem using the discontinuous Galerkin method with interior penalization. Numerical results that corroborate the theoretical results are presented.
AMS Subject classification: 65N30, 65N12
Keywords and phrases: linear Poisson-Boltzmann, discontinuous Galerkin method, a priori error estimate


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DOI: 10.12732/ijam.v26i6.7

Volume: 26
Issue: 6
Year: 2013