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学术活动
High-order structure-preserving parametric finite element methods for geometric flows
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报告人:
Chunmei Su, Doctor, Tsinghua University
邀请人:
Jie Xu, Associate Professor
题目:
High-order structure-preserving parametric finite element methods for geometric flows
时间地点:
10:00-11:00 March 18(Tuesday), S813
摘要:

Firstly we propose a series of temporal high-order parametric finite element methods to simulate geometric flows. Particularly, for those flows with multiple geometric structures, e.g., surface diffusion which decreases the area and preserves the volume, we propose a type of structure-preserving methods by incorporating two scalar Lagrange multipliers and two evolution equations involving the area and volume, respectively. These schemes can effectively preserve the structure at a fully discrete level. Extensive numerical experiments demonstrate that our methods achieve the desired temporal accuracy, as measured by the manifold distance, while simultaneously preserving the geometric structure of the surface diffusion.