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Algorithm 949: MATLAB tools for HDG in three dimensions
(ResearchGate, 2015)
Algorithm 949: MATLAB tools for HDG in three dimensions
(ResearchGate, 2015)
A priori and a posteriori error analyses of an HDG method for the Brinkman problem
(Elsevier, 2018-01-15)
In this paper we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the linear Brinkman model of porous media flow in two and three dimensions and with non-homogeneous Dirichlet boundary conditions. ...
Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows
(Springer, 2015)
In this paper we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for numerically solving a class of nonlinear Stokes models arising in quasi-Newtonian fluids. Similarly as in previous papers dealing ...
Analysis of the HDG method for the stokes–darcy coupling
(Numerical Methods for Partial Differential Equations, 2017-02-03)
In this article, we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for numerically solving the coupling of fluid flow with porous media flow. Flows are governed by the Stokes and Darcy equations, ...
A High-Order HDG Method with Dubiner Basis for Elliptic Flow ProblemsMétodo HDG de orden superior con bases deDubiner para problemas de flujo elípticos
(Universidad EAFIT, 2020-11-11)
We propose a standard hybridizable discontinuous Galerkin (HDG) method to solve a classic problem in fluids mechanics: Darcy’s law. This model describes the behavior of a fluid trough a porous medium and it is relevant to ...
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows
(Springer, 2016-12)
In a recent work we developed a new hybridizable discontinuous Galerkin (HDG) method for a class of nonlinear Stokes models arising in quasi-Newtonian fluids. The approach there uses the incompressibility condition to ...