Convergence of a residual based artificial viscosity finite element method

نویسنده

  • Murtazo Nazarov
چکیده

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.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 65  شماره 

صفحات  -

تاریخ انتشار 2013