期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 65, 期 4, 页码 616-626出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2012.11.003
关键词
Nonlinear conservation laws; Finite element method; Convergence; Shock-capturing; Artificial viscosity
资金
- Swedish Research Council (VR)
- Swedish Foundation for Strategic Research (SSF)
- King Abdullah University of Science and Technology (KAUST) [KUS-C1-016-04]
We 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. (C) 2012 Elsevier Ltd. All rights reserved.
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