New two‐dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes

By H. Hoteit, P. Ackerer, Robert Mosé, J. Erhel, Bernard Philippe. 2004

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Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis (2013, methodology): “A variety of discontinuity capturing and slope limiting techniques are available for DG finite element approximations [3, 4, 7, 12, 13, 14, 23] and their finite difference/volume counterparts [2, 21, 25].”
Multicomponent fluid flow by discontinuous Galerkin and mixed methods in unfractured and fractured media (2005, methodology): “On unstructured grids, Karimi-Fard et al. [2004] used an analogy between flow in fractured porous media and conductance through a network of resistors.”
A SLOPE LIMITING PROCEDURE IN DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR GASDYNAMICS APPLICATIONS (2005, unknown): “[17] introduce an extension of van Leer’s slope limiter for two-dimensional DG method using unstructured quadrangular or triangular meshes.”
Compositional Modeling by the Combined Discontinuous Galerkin and Mixed Methods (2004, methodology): “Our scheme is stabilized by using the multidimensional slope limiter introduced by Hoteit et al. (2004), which is an improved version of that used by Chavent and Jaffré (1986).”