Abstract
The embedded discontinuous Galerkin (EDG) method by Cockburn, Gopalakrishnan and Lazarov [B. Cockburn, J. Gopalakrishnan and R. Lazarov,
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second-order elliptic problems,
SIAM J. Numer. Anal. 47 2009, 2, 1319–1365]
is obtained from the hybridizable discontinuous Galerkin method by changing the space of the Lagrangian multiplier from discontinuous
functions to continuous ones, and adopts piecewise polynomials of equal degrees on simplex meshes for all variables.
In this paper, we analyze a new EDG method for second-order elliptic problems on polygonal/polyhedral meshes. By using piecewise polynomials of degrees
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11771312
Award Identifier / Grant number: 11401407
Award Identifier / Grant number: 91430105
Funding statement: This work was supported in part by National Natural Science Foundation of China (11771312, 11401407) and Major Research Plan of National Natural Science Foundation of China (91430105).
References
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