The direct coupling of local discontinuous Galerkin and natural boundary element method for nonlinear interface problem in R3

Hongying Huang

Applied Mathematics and Computation, 2015, vol. 262, issue C, 232-248

Abstract: In this article, we use the direct coupling of local discontinuous Galerkin (LDG) and natural boundary element method (NBEM) to solve a class of three-dimensional interface problem, which involves a nonlinear problem in a bounded domain and a Poisson equation in an unbounded domain. A spherical surface as an artificial boundary is introduced. The coupled discrete primal formulation on a bounded domain is obtained. The well-posedness of the primal formulation is verified. The optimal error order with respect to energy norm is given. Numerical examples are presented to demonstrate the optimal convergent rates.

Keywords: Local discontinuous Galerkin method; Natural boundary reduction; Nonlinear interface problem; Unbounded domain (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:232-248

DOI: 10.1016/j.amc.2015.04.036

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