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Relevant bibliographies by topics / Hybridizable DG

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Academic literature on the topic 'Hybridizable DG'

Author: Grafiati

Published: 30 June 2021

Last updated: 29 July 2025

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Journal articles on the topic "Hybridizable DG"

1

Chung, Eric, Bernardo Cockburn, and Guosheng Fu. "The Staggered DG Method is the Limit of a Hybridizable DG Method." SIAM Journal on Numerical Analysis 52, no. 2 (2014): 915–32. http://dx.doi.org/10.1137/13091573x.

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2

Qiu, Weifeng, and Ke Shi. "A mixed DG method and an HDG method for incompressible magnetohydrodynamics." IMA Journal of Numerical Analysis 40, no. 2 (2019): 1356–89. http://dx.doi.org/10.1093/imanum/dry095.

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Abstract In this paper we propose and analyze a mixed discontinuous Galerkin (DG) method and an hybridizable DG (HDG) method for the stationary magnetohydrodynamics (MHD) equations with two types of boundary (or constraint) conditions. The mixed DG method is based on a recent work proposed by Houston et al. (2009, A mixed DG method for linearized incompressible magnetohydrodynamics. J. Sci. Comput., 40, 281–314) for the linearized MHD. With two novel discrete Sobolev embedding type estimates for the discontinuous polynomials, we provide a priori error estimates for the method on the nonlinear

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3

Chung, Eric, Bernardo Cockburn, and Guosheng Fu. "The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow." Journal of Scientific Computing 66, no. 2 (2015): 870–87. http://dx.doi.org/10.1007/s10915-015-0047-y.

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MODAVE, Axel. "Accelerated iterative DG finite element solvers for large-scale time-harmonic acoustic problems." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 270, no. 10 (2024): 1301–7. http://dx.doi.org/10.3397/in_2024_2877.

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Finite element methods are widely used to solve time-harmonic wave propagation problems, but solving large cases can be extremely difficult even with the computational power of parallel computers. In this work, the linear system resulting from the finite element discretization is solved with iterative solution methods, which are efficient in parallel but can require a large number of iterations. In standard discontinuous Galerkin (DG) methods, the numerical solution is discontinuous at the interfaces between the elements. In hybridizable DG methods, additional unknowns are introduced at the in

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5

Chen, Gang, and Jintao Cui. "On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients." IMA Journal of Numerical Analysis 40, no. 2 (2019): 1577–600. http://dx.doi.org/10.1093/imanum/drz003.

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Abstract Hybridizable discontinuous Galerkin (HDG) methods retain the main advantages of standard discontinuous Galerkin (DG) methods, including their flexibility in meshing, ease of design and implementation, ease of use within an $hp$-adaptive strategy and preservation of local conservation of physical quantities. Moreover, HDG methods can significantly reduce the number of degrees of freedom, resulting in a substantial reduction of computational cost. In this paper, we study an HDG method for the second-order elliptic problem with discontinuous coefficients. The numerical scheme is proposed

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6

Marche, Fabien. "Combined Hybridizable Discontinuous Galerkin (HDG) and Runge-Kutta Discontinuous Galerkin (RK-DG) formulations for Green-Naghdi equations on unstructured meshes." Journal of Computational Physics 418 (October 2020): 109637. http://dx.doi.org/10.1016/j.jcp.2020.109637.

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7

Liu, Jingyu, Yang Liu, and Lina Zhao. "Analysis of the Staggered DG Method for the Quasi-Newtonian Stokes flows." Journal of Scientific Computing 102, no. 1 (2024). http://dx.doi.org/10.1007/s10915-024-02741-9.

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AbstractThis paper introduces and analyzes a staggered discontinuous Galerkin (DG) method for quasi-Newtonian Stokes flow problems on polytopal meshes. The method introduces the flux and tensor gradient of the velocity as additional unknowns and eliminates the pressure variable via the incompressibility condition. Thanks to the subtle construction of the finite element spaces used in our staggered DG method, no additional numerical flux or stabilization terms are needed. Based on the abstract theory for the non-linear twofold saddle point problems, we prove the well-posedness of our scheme. A

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Dissertations / Theses on the topic "Hybridizable DG"

1

Elzaabalawy, Hashim ibrahim mohamed. "Towards High-Order Compact Discretization of Unsteady Navier-Stokes Equations for Incompressible Flows on Unstructured Grids." Thesis, Ecole centrale de Nantes, 2020. https://tel.archives-ouvertes.fr/tel-03274249.

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Une méthode haut ordre de résolution des équations de Navier-Stokes pour un écoulement incompressible basée sur une discrétisation éléments finis Galerkin discontinu hybride est présentée pour laquelle la stabilité énergétique est assurée et la masse et la quantité de mouvement sont conservées. La formulation calcule exactement des champs de vitesse solénoïdaux pour des types d'élément standard sans avoir recours à des opérateurs de post-traitement ou à des espaces fonctionnels \textit{H}(div) conformes. Ceci est réalisé en proposant une définition simple et nouvelle de l'espace fonctionnel po

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