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Title of Journal: J Sci Comput

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Abbravation: Journal of Scientific Computing

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Springer US

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DOI

10.1002/chin.199927206

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1573-7691

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A Hybridized Discontinuous Galerkin Method with Re

Authors: Issei Oikawa
Publish Date: 2014/12/02
Volume: 65, Issue: 1, Pages: 327-340
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Abstract

In this paper we propose a hybridized discontinuous Galerkin HDG method with reduced stabilization for the Poisson equation The reduce stabilization proposed here enables us to use piecewise polynomials of degree k and k1 for the approximations of element and interelement unknowns respectively unlike the standard HDG methods We provide the error estimates in the energy and L2 norms under the chunkiness condition In the case of k=1 it can be shown that the proposed method is closely related to the Crouzeix–Raviart nonconforming finite element method Numerical results are presented to verify the validity of the proposed method

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