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Volume 22, Issue 2
Three Dimension Quasi-Wilson Element for Flat Hexahedron Meshes

Shaochun Chen, Dongyang Shi & Guobiao Ren

J. Comp. Math., 22 (2004), pp. 178-187.

Published online: 2004-04

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  • Abstract

The well known Wilson's brick is only convergent for regular cuboid meshes. In this paper a quasi-Wilson element of three dimension is presented which is convergent for any hexahedron meshes. Meanwhile the element is anisotropic, that is it can be used to any flat hexahedron meshes for which the regular condition is unnecessary.

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@Article{JCM-22-178, author = {Chen , ShaochunShi , Dongyang and Ren , Guobiao}, title = {Three Dimension Quasi-Wilson Element for Flat Hexahedron Meshes}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {2}, pages = {178--187}, abstract = {

The well known Wilson's brick is only convergent for regular cuboid meshes. In this paper a quasi-Wilson element of three dimension is presented which is convergent for any hexahedron meshes. Meanwhile the element is anisotropic, that is it can be used to any flat hexahedron meshes for which the regular condition is unnecessary.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10321.html} }
TY - JOUR T1 - Three Dimension Quasi-Wilson Element for Flat Hexahedron Meshes AU - Chen , Shaochun AU - Shi , Dongyang AU - Ren , Guobiao JO - Journal of Computational Mathematics VL - 2 SP - 178 EP - 187 PY - 2004 DA - 2004/04 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10321.html KW - Nonconforming element, Three dimension Quasi-Wilson element, Anisotropic convergence. AB -

The well known Wilson's brick is only convergent for regular cuboid meshes. In this paper a quasi-Wilson element of three dimension is presented which is convergent for any hexahedron meshes. Meanwhile the element is anisotropic, that is it can be used to any flat hexahedron meshes for which the regular condition is unnecessary.

Chen , ShaochunShi , Dongyang and Ren , Guobiao. (2004). Three Dimension Quasi-Wilson Element for Flat Hexahedron Meshes. Journal of Computational Mathematics. 22 (2). 178-187. doi:
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