A Convolution-Thresholding Approximation of Generalized Curvature Flows
A Convolution-Thresholding Approximation of Generalized Curvature Flows
复制标题
广义曲率流的卷积阈值近似
DOI：
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发表时间：
2004
影响因子：
2.9
通讯作者：
A. Heintz
中科院分区：
文献类型：
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作者：
R. Grzhibovskis;A. Heintz
当表面在每一点的速度是平均曲率的给定函数时，我们构造了几何表面演化的卷积阈值近似格式。给出了格式单调性的条件，并证明了相应黏度解的近似收敛性。我们还讨论了这些方案的数值实现的一些方面，并给出了几个数值结果。
We construct a convolution-thresholding approximation scheme for the geometric surface evolution in the case when the velocity of the surface at each point is a given function of the mean curvature. Conditions for the monotonicity of the scheme are found and the convergence of the approximations to the corresponding viscosity solution is proved. We also discuss some aspects of the numerical implementation of such schemes and present several numerical results.