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学术活动
High order in time, BGN-based parametric finite element methods for solving geometric flows
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报告人:
Wei Jiang, Associate Professor, Wuhan University
邀请人:
Wei Gong, Associate Professor
题目:
High order in time, BGN-based parametric finite element methods for solving geometric flows
时间地点:
11:00-12:00 May 16 (Thursday) , Z301
摘要:

Geometric flows have recently attracted lots of attention from scientific computing communities. One of the most popular schemes for solving geometric flows is the so-called BGN scheme, which was proposed by Barrett, Garcke, and Nurnberg (J. Comput. Phys., 222 (2007), pp. 441--467). However, the BGN scheme only can attain first-order accuracy in time, and how to design a temporal high-order numerical scheme is challenging. Recently, based on a novel approach, we have successfully proposed temporal high-order, BGN-based parametric finite element method for solving geometric flows of curves/surfaces. Furthermore, we point out that the shape metrics (i.e., manifold distance), instead of the function norms, should be used to measure numerical errors of the proposed schemes. Finally, ample numerical experiments demonstrate that the proposed BGN-based schemes are high-order in time in terms of the shape metric, and much more efficient than the classical BGN schemes.