Author:
Liu Huipo,Wang Shuanghu,Han Hongbin
Abstract
AbstractIn this paper, we consider a least squares nonconforming finite element of low order for solving the transport equations. We give a detailed overview on the stability and the convergence properties of our considered methods in the stability norm. Moreover, we derive residual type a posteriori error estimates for the least squares nonconforming finite element methods underH–1-norm, which can be used as the error indicators to guide the mesh refinement procedure in the adaptive finite element method. The theoretical results are supported by a series of numerical experiments.
Subject
Applied Mathematics,Mechanical Engineering
Cited by
1 articles.
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