A Superconvergent HDG Method for Stokes Flow with Strongly Enforced Symmetry of the Stress Tensor
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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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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
An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method
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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