Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media

Shuyu Sun, Mary F. Wheeler

Type: Article

Publication Date: 2005-01-01

Citations: 173

DOI: https://doi.org/10.1137/s003614290241708x

View Publication

Locations

SIAM Journal on Numerical Analysis - View

Similar Works

Action	Title	Year	Authors
+	Discontinuous Galerkin methods for reactive transport in porous media	2003	Shuyu Sun
+	Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2023	Gautam Singh Srinivasan Natesan Ali Şendur
+	Discontinuous Galerkin methods for solving elliptic and parabolic equations : theory and implementation	2008	Béatrice Rivière
+ PDF Chat	An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media	2024	Yong Liu Ziyao Xu
+ PDF Chat	An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media	2024	Yong Liu Ziyao Xu
+	Non-Symmetric Interior Penalty Galerkin Finite Element Method for a Class of Singularly Perturbed Reaction Diffusion Problems with Discontinuous Data	2022	Ram Prasad Yadav Pratima Rai Kapil K. Sharma
+	HP primal discontinuous Galerkin finite element methods for two -phase flow in porous media	2007	Yekaterina Epshteyn
+	The direct discontinuous Galerkin method with symmetric structure for diffusion problems	2012	Chad Vidden
+	A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media	2018	Maurice S. Fabien Matthew G. Knepley Béatrice Rivière
+	A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media	2018	Maurice S. Fabien Matthew G. Knepley Béatrice Rivière
+ PDF Chat	ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY FOR PARABOLIC PROBLEMS	2016	Mi Ray Ohm Hyun Young Lee Jun Yong Shin
+	A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids	2021	Xiaodong Liu Nathaniel Morgan Evan Lieberman Donald E. Burton
+ PDF Chat	Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations	2020	Xiaofeng Cai Wei Guo Jing‐Mei Qiu
+	High-order discontinuous Galerkin method for applications to multicomponent and chemically reacting flows	2017	Yu Lv Matthias Ihme
+	A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption	2023	Peimeng Yin Eirik Endeve Cory D. Hauck Stefan Schnake
+ PDF Chat	Families of hybridized interior penalty discontinuous Galerkin methods for locally degenerate advection-diffusion-reaction problems	2023	Grégory Etangsale Marwan Fahs Vincent Fontaine
+	Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations	2019	Xiaofeng Cai Wei Guo Jing‐Mei Qiu
+	Convergence analysis of symmetric dual-wind discontinuous Galerkin approximation methods for the obstacle problem	2020	Thomas Lewis Aaron Rapp Yi Zhang
+	A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations	2017	Huiqiang Yue Jian Cheng Tiegang Liu
+	A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations	2016	Xiaofeng Cai Wei Guo Jing‐Mei Qiu

Works That Cite This (55)

Action	Title	Year	Authors
+	Discontinuous Galerkin methods for convection-diffusion equations and applications in petroleum engineering	2019	Nattaporn Chuenjarern
+	Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems	2019	Maurice S. Fabien Matthew G. Knepley Béatrice Rivière
+ PDF Chat	A scalable fully implicit framework for reservoir simulation on parallel computers	2017	Haijian Yang Shuyu Sun Yiteng Li Chao Yang
+	A multiscale discontinuous Galerkin method for convection–diffusion–reaction problems	2014	Miyoung Kim Mary F. Wheeler
+	A Penalty-Free and Essentially Stabilization-Free DG Method for Convection-Dominated Second-Order Elliptic Problems	2024	Huoyuan Duan Junhua Ma
+	Multiscale Angiogenesis Modeling Using Mixed Finite Element Methods	2005	Shuyu Sun Mary F. Wheeler Mandri Obeyesekere C. Patrick
+	Interior penalty discontinuous Galerkin methods with implicit time‐integration techniques for nonlinear parabolic equations	2012	Lunji Song Gung‐Min Gie Ming‐Cheng Shiue
+	Energy Stability Analysis of Some Fully Discrete Numerical Schemes for Incompressible Navier–Stokes Equations on Staggered Grids	2017	Huangxin Chen Shuyu Sun Tao Zhang
+	Discontinuous Galerkin methods for the chemotaxis and haptotaxis models	2008	Yekaterina Epshteyn
+	Scalable semismooth Newton methods with multilevel domain decomposition for subsurface flow and reactive transport in porous media	2022	Tianpei Cheng Haijian Yang Chao Yang Shuyu Sun

Works Cited by This (6)

Action	Title	Year	Authors
+	Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates	2004	Mats G. Larson A. Jonas Niklasson
+	The Optimal Convergence Rate of the <i>p</i>-Version of the Finite Element Method	1987	L. Babuška Manil Suri
+ PDF Chat	Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method	2000	Dominik Schötzau Christoph Schwab
+	Compatible algorithms for coupled flow and transport	2004	Clint Dawson Shuyu Sun Mary F. Wheeler
+	Discontinuous Galerkin methods for reactive transport in porous media	2003	Shuyu Sun
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡