A quadrature-free discontinuous Galerkin method for the level set equation

Marchandise, Emilie;Remacle, Jean-François;Chevaugeon, Nicolas
(2006) Journal of Computational Physics — Vol. 212, n° 1, p. 338-357 (2006)

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Abstract
A quadrature free, Runge-Kutta discontinuous Galerkin method (QF-RK-DGM) is developed to solve the level set equation written in a conservative form on two- and tri-dimensional unstructured grids. We show that the DGM implementation of the level set approach brings a lot of additional benefits as compared to traditional ENO level set realizations. Some examples of computations are provided that demonstrate the high order of accuracy and the computational efficiency of the method. (c) 2005 Elsevier Inc. All rights reserved.
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Marchandise, E., Remacle, J.-F., & Chevaugeon, N. (2006). A quadrature-free discontinuous Galerkin method for the level set equation. Journal of Computational Physics, 212(1), 338-357. https://doi.org/10.1016/j.jcp.2005.07.006 (Original work published 2006)