Discontinuous Galerkin time stepping with local projection stabilization for transient convection–diffusion-reaction problems
Discontinuous Galerkin time stepping with local projection stabilization for transient convection–diffusion-reaction problems
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DOI：
10.1016/j.cma.2011.02.003
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发表时间：
2011-05
影响因子：
7.2
通讯作者：
N. Ahmed;G. Matthies;L. Tobiska;Hehu Xie
中科院分区：
文献类型：
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作者：
N. Ahmed;G. Matthies;L. Tobiska;Hehu Xie
对含时对流扩散反应问题，在空间上采用具有局部投影稳定性的连续有限元法离散，在时间上采用间断Galerkin法离散。我们提出了误差估计的半离散的问题后，在空间中的离散化和完全离散的问题。数值试验证实了理论结果。
A time-dependent convection–diffusion-reaction problem is discretized in space by a continuous finite element method with local projection stabilization and in time by a discontinuous Galerkin method. We present error estimates for the semidiscrete problem after discretizing in space only and for the fully discrete problem. Numerical tests confirm the theoretical results.