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   Articles with "hdg method" as a keyword



A Superconvergent HDG Method for Stokes Flow with Strongly Enforced Symmetry of the Stress Tensor

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recommendations! Published in 2018 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-018-0855-y

Abstract: This work proposes a superconvergent hybridizable discontinuous Galerkin (HDG) method for the approximation of the Cauchy formulation of the Stokes equation using same degree of polynomials for the primal and mixed variables. The novel formulation… read more here.

Keywords: hdg method; hdg; method; stress tensor ... See more keywords

Analysis on an HDG Method for the p-Laplacian Equations

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recommendations! Published in 2019 at "Journal of Scientific Computing"

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

Supercloseness of the HDG Method on Shishkin Mesh for a Singularly Perturbed Convection Diffusion Problem in 2D

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recommendations! Published in 2024 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-025-03056-z

Abstract: This paper presents the first analysis of parameter-uniform convergence for a hybridizable discontinuous Galerkin (HDG) method applied to a singularly perturbed convection-diffusion problem in 2D using a Shishkin mesh. The primary difficulty lies in accurately… read more here.

Keywords: singularly perturbed; method; convection diffusion; convection ... See more keywords

An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method

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recommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2018.11.010

Abstract: Abstract This paper deals with the a priori error analysis for a convection-dominated diffusion 2D problem, when applying the HDG method on a family of anisotropic triangulations. It is known that in this case, boundary… read more here.

Keywords: method; convection dominated; priori error; hdg method ... See more keywords