Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems

Author:

Wang Haijin,Wang Shiping,Zhang Qiang,Shu Chi-Wang

Funder

National Natural Science Foundation of China

U.S. Department of Energy

National Science Foundation

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference25 articles.

1. Ascher U.M., Ruuth S.J. and Spiteri R.J., Implicit-explicit Runge−Kutta methods for time-dependent partial differential equations.Appl. Numer. Math.25(1997) 151–167.

2. Bassi F. and Rebay S., A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier–Stokes equations,J. Comput. Phys.131(1997) 267–279.

3. Calvo M.P., de Frutos J. and Novo J., Linearly implicit Runge−Kutta methods for advection-reaction-diffusion equations.Appl. Numer. Math.37(2001) 535–549.

4. P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, New York (1978).

5. Cockburn B. and Dong B., An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems,J. Sci. Comput.32(2007) 233–262.

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