On a coupled finite element-finite volume method for convection-diffusion problems
On a coupled finite element-finite volume method for convection-diffusion problems
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DOI：
10.1093/imanum/20.2.281
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发表时间：
2000-04
影响因子：
2.1
通讯作者：
M. Sardella
中科院分区：
文献类型：
--
作者：
M. Sardella
在本文中，我们提出并分析了一种耦合有限元-有限体积方法，用于奇异摄动对流扩散问题的数值近似。这个想法是将基于有限体积（节点中心）方法的对流项的离散化与扩散项的标准连续有限元近似结合起来。这种方法保持了守恒，满足了一致性并增强了稳定性。
In this paper we present and analyse a coupled finite element-finite volume method for the numerical approximation of singularly perturbed convection-diffusion problems. The idea is to couple a discretization for the convective term, based on the finite volume (node-centred) method, and a standard continuous finite element approximation of the diffusive term. Such a method preserves conservation, fulfils consistency and enhances stability.