Smoothing by optimization for a quadrilateral mesh with invalid elements

T. S. Li; S. M. Wong; Y. C. Hon; C. G. Armstrong; R. M. McKeag

doi:10.1016/S0168-874X(99)00026-8

Author(s)

T. S. Li
S. M. Wong
Y. C. Hon
C. G. Armstrong
R. M. McKeag

Related Research Unit(s)

City University of Hong Kong

Detail(s)

Original language	English
Pages (from-to)	37-60
Journal / Publication	Finite Elements in Analysis and Design
Volume	34
Issue number	1
Publication status	Published - 1 Jan 2000

Link(s)

DOI	DOI https://doi.org/10.1016/S0168-874X(99)00026-8 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0033887627&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(dd7cf47a-7335-4003-9b6e-942a4efe86cf).html

Abstract

In this paper, a smoothing algorithm is introduced which can be applied to a mesh with invalid elements. The first step of the method is to allow those invalid elements to be disconnected from the remaining mesh. This means that the nodes on the invalid elements are all split into two, one on the invalid element, the other on the remaining mesh. The invalid element can then be shaped to become valid. The distance between the two copies of the same node is called offset. In later iterative steps, the nodes will be moved into order to reduce the offset back to zero and at the same time improve the quality of the mesh.

Citation Format(s)

[ RIS ] [ BibTeX ]

Smoothing by optimization for a quadrilateral mesh with invalid elements. / Li, T. S.; Wong, S. M.; Hon, Y. C. et al.
In: Finite Elements in Analysis and Design, Vol. 34, No. 1, 01.01.2000, p. 37-60.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Li, TS, Wong, SM, Hon, YC, Armstrong, CG & McKeag, RM 2000, 'Smoothing by optimization for a quadrilateral mesh with invalid elements', Finite Elements in Analysis and Design, vol. 34, no. 1, pp. 37-60. https://doi.org/10.1016/S0168-874X(99)00026-8

Li, T. S., Wong, S. M., Hon, Y. C., Armstrong, C. G., & McKeag, R. M. (2000). Smoothing by optimization for a quadrilateral mesh with invalid elements. Finite Elements in Analysis and Design, 34(1), 37-60. https://doi.org/10.1016/S0168-874X(99)00026-8

Li TS, Wong SM, Hon YC, Armstrong CG, McKeag RM. Smoothing by optimization for a quadrilateral mesh with invalid elements. Finite Elements in Analysis and Design. 2000 Jan 1;34(1):37-60. doi: 10.1016/S0168-874X(99)00026-8

Li, T. S. ; Wong, S. M. ; Hon, Y. C. et al. / Smoothing by optimization for a quadrilateral mesh with invalid elements. In: Finite Elements in Analysis and Design. 2000 ; Vol. 34, No. 1. pp. 37-60.