Convergence of a residual based artificial viscosity finite element method
KAUST Grant NumberKUS-C1-016-04
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AbstractWe present a residual based artificial viscosity finite element method to solve conservation laws. The Galerkin approximation is stabilized by only residual based artificial viscosity, without any least-squares, SUPG, or streamline diffusion terms. We prove convergence of the method, applied to a scalar conservation law in two space dimensions, toward an unique entropy solution for implicit time stepping schemes. © 2012 Elsevier B.V. All rights reserved.
CitationNazarov M (2013) Convergence of a residual based artificial viscosity finite element method. Computers & Mathematics with Applications 65: 616–626. Available: http://dx.doi.org/10.1016/j.camwa.2012.11.003.
SponsorsThis material is based upon work supported by the Swedish Research Council (VR), and the Swedish Foundation for Strategic Research (SSF) and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).