Research Article
Oct 1976
Laplacian-Isoparametric Grid Generation Scheme
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 5
Abstract
An alternative to the commonly employed Laplacian grid generation scheme for finite element problems is developed. The procedure is based upon a local quadratic isoparametric transformation. The proposed isoparametric generation scheme overcomes the one serious defect of the commonly used Laplacian scheme, i.e., the inability to significantly utilize boundary curvature information and boundary node point spacing information when locating interior nodes. In addition, a generalized generation scheme is given that includes the Laplacian and isoparametric schemes as special cases of a family of generation schemes; this family is defined by a parameter with a range of zero (Laplacian grid) to one (isoparametric grid). Examples are given which compare grids generated for various values of the parameter.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 5 • October 1976
Pages: 749 - 756
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Oct 1976
Published online: Feb 3, 2021
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Authors
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Leonard R. Herrmann, M.ASCE
Prof. and Chmn. of Civ. Engrg., Univ. of California, Davis, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.