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Quadrilateral mesh generation I : Metric based method

Computer Methods in Applied Mechanics and Engineering, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Chen   +5 more
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Adaptive mesh coarsening for quadrilateral and hexahedral meshes

Finite Elements in Analysis and Design, 2010
Mesh adaptation methods can improve the efficiency and accuracy of solutions to computational modeling problems. In many applications involving quadrilateral and hexahedral meshes, local modifications which maintain the original element type are desired. For triangle and tetrahedral meshes, effective refinement and coarsening methods that satisfy these
Jason F. Shepherd   +5 more
openaire   +3 more sources

QUADRILATERAL MESH

Chinese Annals of Mathematics, 2002
Equivalence of several quadrilateral shape regular mesh conditions used in finite element analysis are proved and their influence on the finite element interpolation error studied. The necessity of the bisection condition is emphasized through illustrations.
Ming, Pingbing, Shi, Zhongci
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Quadrilateral mesh revisited

Computer Methods in Applied Mechanics and Engineering, 2002
The authors consider three degenerate mesh conditions, namely, the conditions of \textit{P. Jamet} [SIAM J.Numer. Anal. 14, 925--930 (1977; Zbl 0383.65009)], \textit{G. Acosta} and \textit{R. G. Duran} [SIAM J. Numer. Anal. 38, 1073--1088 (2000; Zbl 0981.65124)], and \textit{E. Süli} [Math. Comput. 59, 359--382 (1992; Zbl 0767.65072)].
Ming, Pingbing, Shi, Zhong Ci
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Angle-Preserving Quadrilateral Mesh Parameterization

IEEE Computer Graphics and Applications, 2015
In response to their growing use in the real world, this article presents two algorithms for direct parameterization of quadrilateral meshes. The proposed algorithms are angle-preserving mappings, with one mapping a topological disk surface onto a Euclidean plane and one mapping a topological sphere surface onto a unit sphere.
Wenyong, Gong   +3 more
openaire   +2 more sources

Eigenmodes computation on quadrilateral meshes

Computing and Visualization in Science, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BOFFI D, GASTALDI, Lucia
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CONSTRAINED QUADRILATERAL MESHES OF BOUNDED SIZE

International Journal of Computational Geometry & Applications, 2005
We introduce a new algorithm to convert triangular meshes of polygonal regions, with or without holes, into strictly convex quadrilateral meshes of small bounded size. Our algorithm includes all vertices of the triangular mesh in the quadrilateral mesh, but may add extra vertices (called Steiner points). We show that if the input triangular mesh has t
Ramaswami, Suneeta   +4 more
openaire   +2 more sources

v2 Subdivision for quadrilateral meshes

The Visual Computer, 2004
This paper presents a $\sqrt2$ subdivision scheme for quadrilateral meshes that can be regarded as an extension of a 4-8 subdivision with new subdivision rules and improved capability and performance. The proposed scheme adopts a so-called $\sqrt2$ split operator to refine a control mesh such that the face number of the refined mesh generally equals ...
Guiqing Li, Weiyin Ma, Hujun Bao
openaire   +1 more source

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