The multigrid method for the combined hybrid elements of elasticity mechanical problem

The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasti...

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Bibliographic Details
Published in:Computational & applied mathematics 2019-06, Vol.38 (2), p.1-14, Article 42
Main Authors: Wang, Huiling, Nie, Yufeng, Yuan, Zhanbin, Zhang, Ling
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Elasticity
Finite element method
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Optimization
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Summary:The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasticity problem. Theoretical convergence analysis of the method has been obtained for the energy norm. The numerical example is presented to support the theoretical results and illustrate the efficiency of the method.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-019-0804-x