Journal article
A stabilized formulation for discrete gradient method
International journal for numerical methods in biomedical engineering, Vol.27(6), pp.860-873
06/2011
DOI: 10.1002/cnm.1337
Abstract
This paper presents a stabilization scheme for the discrete gradient method proposed by the authors (Int. J. Numer. Methods Eng. 2009; 78:505–527). The discrete method is an extension of the nodal average strain triangle element to arbitrary polygon meshes. The method outperforms the low‐order finite elements in many aspects; however, it is susceptible to spurious zero‐energy or low‐energy modes arising from cancelation of strains during strain averaging. In this paper, stabilization is achieved by a penalty scheme that penalizes the difference between the nodal strain and the subcell strains. Several examples, including an analytical dispersion analysis, are presented to demonstrate the stabilization effect. Copyright © 2009 John Wiley & Sons, Ltd.
Details
- Title: Subtitle
- A stabilized formulation for discrete gradient method
- Creators
- Jing QianJia Lu
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in biomedical engineering, Vol.27(6), pp.860-873
- Publisher
- John Wiley & Sons, Ltd; Chichester, UK
- DOI
- 10.1002/cnm.1337
- ISSN
- 2040-7939
- eISSN
- 2040-7947
- Number of pages
- 14
- Language
- English
- Date published
- 06/2011
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064108402771
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