Title
A quadrature-free discontinuous Galerkin method for the level set equation
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.
Year
DOI
Venue
2006
10.1016/j.jcp.2005.07.006
J. Comput. Physics
Keywords
Field
DocType
traditional eno level set,conservative form,level set equation,level set approach,tri-dimensional unstructured grid,quadrature-free discontinuous galerkin method,dgm implementation,computational efficiency,runge–kutta discontinuous galerkin method,runge-kutta discontinuous galerkin method,high order,additional benefit,level set,discontinuous galerkin method,unstructured grid
Discontinuous Galerkin method,Runge–Kutta methods,Order of accuracy,Mathematical optimization,Level set method,Mathematical analysis,Level set,Quadrature (mathematics),Mathematics,Computation
Journal
Volume
Issue
ISSN
212
1
Journal of Computational Physics
Citations 
PageRank 
References 
19
2.70
9
Authors
3
Name
Order
Citations
PageRank
Emilie Marchandise19411.45
Jean-François Remacle224737.52
Nicolas Chevaugeon3639.17