The local discontinuous Galerkin method for contaminant transport

By V. Aizinger, Clint N. Dawson, Bernardo Cockburn, Paul E. Castillo. 2000

98 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/ec5ccea6835b732759212180f18549c55e546a05

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media (2003, methodology): “Advantages of DG methods are their higher order convergence property, local conservation of mass and exibilit y with respect to meshing and hpadaptive renemen t. Their uniform applicability to hyperbolic, elliptic and parabolic problems as well as their robustness with respect to strongly discontinu”
Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations (2009, methodology): “LDG methods have been generalized to transport equations [4,47], three-dimensional shallow water flow [3] and Richards’ equation [69, 70].”
Discontinuous Galerkin methods for coupled flow and reactive transport problems (2005, background): “of flow d oupling the unily, the r in order ces for flow and t; ecently cal dif- Primal discontinuous Galerkin methods with interior penalty are proposed to solve the coupled system and reactive transport in porous media, which arises from many applications includingmiscible displacement an…”
Analysis and numerical investigation of two dynamic models for liquid chromatography (2013, methodology): “Discontinuous Galerkin (DG) methods have been widely used in the computational fluid dynamics and could be a good choice to solve non-linear convection-dominated problems, see e.g. Bassi and Rebay (1997), Bahhar et al. (1998), Aizinger et al. (2000), Holik (2009).”
A hybrid mixed discontinuous Galerkin finite-element method for convection–diffusion problems (2010, background): “All rights reserved List of AICES technical reports: http://www.aices.rwth-aachen.de/preprints”
Approximation of the Velocity by Coupling Discontinuous Galerkin and Mixed Finite Element Methods for Flow Problems (2002, methodology): “See [ 1 ,18,21] for applications to convection–diffusion problems, [16,22] for applications to purely elliptic problems, [23] for applications to the Stokes system; a comparison of the performance of several DG methods, including the LDG, applied to a model elliptic problem has been recently carried”
Discontinuous Galerkin methods for reactive transport in porous media (2003, background): “We remark that the strong assumption of reaction rate being Lipschitz continuous function of concentration as in [6, 72] has limited usage in practice because, for example, any reaction of order greater than 1 is not Lipschitz continuous, but is locally Lipschitz continuous.”