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

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  • Huang, Hongying

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.

Suggested Citation

  • Huang, Hongying, 2015. "The direct coupling of local discontinuous Galerkin and natural boundary element method for nonlinear interface problem in R3," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 232-248.
    • Handle: RePEc:eee:apmaco:v:262:y:2015:i:c:p:232-248
    DOI: 10.1016/j.amc.2015.04.036
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