High order finite volume methods for singular perturbation problems
High order finite volume methods for singular perturbation problems
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DOI：
10.1007/s11425-008-0120-1
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发表时间：
2008-08
期刊：
影响因子：
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通讯作者：
Zhongying Chen;C. He;Bin Wu
中科院分区：
文献类型：
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作者：
Zhongying Chen;C. He;Bin Wu
本文对四阶奇异摄动问题建立了一种高阶有限体积方法。结合最优网格，该方法得到的数值解具有最优收敛阶。数值实验验证了我们的理论估计。
In this paper we establish a high order finite volume method for the fourth order singular perturbation problems. In conjunction with the optimal meshes, the numerical solutions resulting from the method have optimal convergence order. Numerical experiments are presented to verify our theoretical estimates.