A high-order hybridizable discontinuous Galerkin method for elliptic interface problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4382 ◽

2012 ◽

Vol 93 (2) ◽

pp. 183-200 ◽

Author(s):

L.N. T. Huynh ◽

N.C. Nguyen ◽

J. Peraire ◽

B.C. Khoo

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.034 ◽

2018 ◽

Vol 344 ◽

pp. 624-639 ◽

Author(s):

Haixia Dong ◽

Wenjun Ying ◽

Jiwei Zhang

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2009.01.030 ◽

2009 ◽

Vol 228 (9) ◽

pp. 3232-3254 ◽

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2010.10.032 ◽

2011 ◽

Vol 230 (4) ◽

pp. 1147-1170 ◽

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.08.050 ◽

2019 ◽

Vol 376 ◽

pp. 973-991 ◽

Author(s):

Wei Su ◽

Peng Wang ◽

Yonghao Zhang ◽

Lei Wu

Keyword(s):

Steady State ◽

Kinetic Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hybridizable Discontinuous Galerkin ◽

Convergence To Steady State ◽

Hybridizable Discontinuous Galerkin Method ◽

Steady State Solutions

Download Full-text

An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2009.08.030 ◽

2009 ◽

Vol 228 (23) ◽

pp. 8841-8855 ◽

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109301 ◽

2020 ◽

Vol 409 ◽

pp. 109301

Author(s):

Hongying Huang ◽

Jin Li ◽

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems

Download Full-text

A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media

Results in Applied Mathematics ◽

10.1016/j.rinam.2019.100089 ◽

2020 ◽

Vol 8 ◽

pp. 100089 ◽

Author(s):

Maurice S. Fabien ◽

Matthew Knepley ◽

Beatrice Riviere

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Heterogeneous Media ◽

Miscible Displacement ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time‐harmonic Maxwell's equations

COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering ◽

10.1108/03321641311306196 ◽

2013 ◽

Vol 32 (3) ◽

pp. 1112-1138 ◽

Author(s):

Liang Li ◽

Stéphane Lanteri ◽

Ronan Perrussel

Keyword(s):

Galerkin Method ◽

Numerical Investigation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

High-order Discontinuous Galerkin Method for Solving Elliptic Interface Problems

Taiwanese Journal of Mathematics ◽

10.11650/tjm.20.2016.7612 ◽

2016 ◽

Vol 20 (5) ◽

pp. 1185-1202

Author(s):

Min-Hung Chen ◽

Rong-Jhao Wu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interface Problems ◽

Elliptic Interface Problems

Download Full-text

A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5919 ◽

2018 ◽

Vol 116 (3) ◽

pp. 161-177 ◽

Author(s):

Maurice S. Fabien ◽

Matthew G. Knepley ◽

Béatrice M. Rivière

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Heterogeneous Porous Media ◽

Two Phase ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text