Accurate gradient computations at interfaces using finite element methods

New finite element methods are proposed for elliptic interface problems in one and two dimensions. The main motivation is to get not only an accurate solution, but also an accurate first order derivative at the interface (from each side). The key in 1D is to use the idea of Wheeler (1974). For 2D in...

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Bibliographic Details
Main Authors: Qin Fangfang, Wang Zhaohui, Ma Zhijie, Li Zhilin
Format: Article
Language:English
Published: Sciendo 2017-09-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.1515/amcs-2017-0037