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发表时间:2019-07-19 阅读次数:199次
报告题目: DECOUPLING OF MIXED METHODS BASED ON GENERALIZED HELMHOLTZ DECOMPOSITIONS
报 告 人:陈龙
报告人所在单位:UC Irivine
报告日期:2019-07-19 星期五
报告时间:9:30-10:30
报告地点:光华东主楼1801
  
报告摘要:

A framework to systematically decouple high order elliptic equations into a combina- tion of Poisson-type and Stokes-type equations is developed. The key is to systematically construct the underling commutative diagrams involving the complexes and Helmholtz decompositions in a general way. Discretizing the decoupled formulation leads to a natural superconvergence between the Galerkin projection and the decoupled approximation. Examples include but are not limited to the primal formulations and mixed formulations of the biharmonic equation, fourth order curl equation, and triharmonic equation. As a byproduct, Helmholtz decompositions for many dual spaces are obtained.

This is a joint work with Xuehai Huang.

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本年度学院报告总序号:153

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