A linear finite volume method for nonlinear cross-diffusion systems
A linear finite volume method for nonlinear cross-diffusion systems
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DOI：
10.1007/s00211-016-0832-z
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发表时间：
2017-05
影响因子：
2.1
通讯作者：
H. Murakawa
中科院分区：
文献类型：
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作者：
H. Murakawa
在本文中，我们提出并分析了一般非线性交叉扩散系统的线性有限体积方案。该方案由线性椭圆方程的离散化和每个时间步的逐点显式代数校正组成。因此，该方案非常容易实现，而且无条件稳定。我们在范数中建立误差估计。
In this paper, we propose and analyze a linear finite volume scheme for general nonlinear cross-diffusion systems. The scheme consists of discretization of linear elliptic equations and pointwise explicit algebraic corrections at each time step. Therefore, the scheme can be implemented very easily, moreover, it is unconditionally stable. We establish error estimates in thenorm.