Dispersion Analysis of HDG Methods
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DOI: 10.1007/s10915-018-0781-z
Abstract: This work presents a dispersion analysis of the Hybrid Discontinuous Galerkin (HDG) method. Considering the Helmholtz system, we quantify the discrepancies between the exact and discrete wavenumbers. In particular, we obtain an analytic expansion for… read more here.
Keywords: hdg; dispersion analysis; hdg methods; analysis hdg ... See more keywords
Analysis on an HDG Method for the p-Laplacian Equations
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DOI: 10.1007/s10915-019-00967-6
Abstract: In Cockburn and Shen (SIAM J Sci Comput 38(1):A545–A566, 2016) the authors propose the first hybridizable discontinuous Galerkin method (HDG) for the p-Laplacian equation. Several iterative algorithms are developed and tested. The main purpose of… read more here.
Keywords: analysis hdg; method; method laplacian; hdg ... See more keywords
Analysis of HDG method for the reaction-diffusion equations
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DOI: 10.1016/j.apnum.2020.05.012
Abstract: Abstract In this paper, we study and analyse the hybridized discontinuous Galerkin method for the reaction-diffusion problem. We present a mixed formulation based on some operators with discontinuous piecewise polynomials in a shape regular partition.… read more here.
Keywords: reaction diffusion; method reaction; analysis hdg;