Article ID Journal Published Year Pages File Type
4637850 Journal of Computational and Applied Mathematics 2016 15 Pages PDF
Abstract

In this paper, we analyze a family of hybridizable discontinuous Galerkin (HDG) methods for second order elliptic problems in two and three dimensions. The methods use piecewise polynomials of degree k⩾0k⩾0 for both the flux and numerical trace, and piecewise polynomials of degree k+1k+1 for the potential. We establish error estimates for the numerical flux and potential under the minimal regularity condition. Moreover, we construct a local postprocessing for the flux, which produces a numerical flux with better conservation. Numerical experiments in two-space dimensions confirm our theoretical results.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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