 An extended family of nonconforming quasi-Wilson elements for solving elasticity problemBoujemâa Achchab, Abdellatif Agouzal, Allal Guessab and Yassine Zaim Applied Mathematics and Computation, 2019, vol. 344-345, 1-19 Abstract: This contribution (part two) focuses on numerical implementation and efficiency aspects of an extended family of nonconforming quasi-Wilson elements type. Such a class of nonconforming elements has been introduced recently in Achchab et al. (2015). Here, based on a rectangular mesh, it is used for the approximate solution of a planar elasticity problem. It is shown that this family passes the patch-test, and that by suitably adding some orthogonality conditions, on a general class of enrichment functions, we can derive higher order consistency error estimates. Our general theoretical results, see Theorems 4.1 and 4.2, unify, simplify and extend a number of existing works on the improvement of the order of consistency error. Numerical experiments are carried out to demonstrate that our method is optimal for various Lamé parameter μ, shear modulus λ and locking free when the Poisson parameter ν approaches close to 0.5. Keywords: Enriched finite element method; Nonconforming finite element; Element of quasi-Wilson type; Rectangular mesh; Linear elastic problem (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:344-345:y:2019:i::p:1-19 DOI: 10.1016/j.amc.2018.09.059 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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