Discontinuous Galerkin Finite Element Method Based on Rosenbrock-Type Exponential Integrator

CHEN Ye-fei; LI Wen-cheng; DENG Zi-chen>

doi:10.3879/j.issn.1000-0887.2013.07.004

Volume 34 Issue 7

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CHEN Ye-fei, LI Wen-cheng, DENG Zi-chen>. Discontinuous Galerkin Finite Element Method Based on Rosenbrock-Type Exponential Integrator[J]. Applied Mathematics and Mechanics, 2013, 34(7): 697-703. doi: 10.3879/j.issn.1000-0887.2013.07.004

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Discontinuous Galerkin Finite Element Method Based on Rosenbrock-Type Exponential Integrator

doi: 10.3879/j.issn.1000-0887.2013.07.004

¹Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, P.R.China; ²Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Received Date: 2013-02-05
Rev Recd Date: 2013-05-25
Publish Date: 2013-07-15

Abstract

Abstract

A new Rosenbrocktype exponential discontinuous Galerkin method was developed. The method used discontinuous Galerkin method to discretize in space, while Rosenbrocktype exponential integrator method in time. Therefore, it not only has high accuracy to discretize in space, but also has excellent ability of explicit time marching with large time step. The numerical tests demonstrate that the method is effective for problems of 1D hyperbolic conservation laws.
- discontinuous Galerkin method,
- Rosenbrock-type exponential integrator,
- explicit time integration,
- large time-step

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References(23)

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