scholarly journals Tetrahedral mesh improvement via optimization of the element condition number

2001 ◽  
Vol 53 (6) ◽  
pp. 1377-1391 ◽  
Author(s):  
Lori A. Freitag ◽  
Patrick M. Knupp
Keyword(s):  
Condition Number ◽  
Tetrahedral Mesh ◽  
Mesh Improvement

scholarly journals A Parallel Local Reconnection Approach for Tetrahedral Mesh Improvement

2016 ◽  
Vol 163 ◽  
pp. 289-301 ◽  
Author(s):  
Mengmeng Shang ◽  
Chaoyan Zhu ◽  
Jianjun Chen ◽  
Zhoufang Xiao ◽  
Yao Zheng
Keyword(s):  
Tetrahedral Mesh ◽  
Mesh Improvement

Improving the Condition Number of Finite Element Stiffness Matrices via Inverted Elements

2011 ◽  
Author(s):  
Josh Danczyk ◽  
Krishnan Suresh
Keyword(s):  
Finite Element ◽  
Lower Bound ◽  
Condition Number ◽  
Poor Quality ◽  
Iterative Solvers ◽  
Mesh Quality ◽  
Mathematical Properties ◽  
Stiffness Matrices ◽  
Mesh Improvement

In the finite element method, poor quality elements typically increase the condition number of the underlying stiffness matrix, thereby potentially: (1) degrading the computed solution, and (2) slowing the convergence of iterative solvers. Current mesh improvement strategies rely on node movement and edge-flipping to alleviate these problems. However, these methods cannot guarantee a lower-bound on mesh quality, especially in 3-D. In this paper we propose the concept, and use, of inverted elements to improve mesh quality and condition number. Inverted elements are standard finite elements, but with negative Jacobian. After establishing the mathematical properties of these elements we show how they can be used to dramatically improve the quality of a mesh through the use of an ‘element cover’. Further, we show that a lower-bound on the mesh quality can be easily achieved, as supported by numerical experiments and case-studies.

scholarly journals Tetrahedral Mesh Improvement Using Multi-face Retriangulation

2009 ◽  
pp. 539-555 ◽  
Author(s):  
Marek Krzysztof Misztal ◽  
Jakob Andreas Bærentzen ◽  
François Anton ◽  
Kenny Erleben
Keyword(s):  
Tetrahedral Mesh ◽  
Mesh Improvement

scholarly journals Tetrahedral mesh improvement by shell transformation

2016 ◽  
Vol 33 (3) ◽  
pp. 393-414 ◽  
Author(s):  
Jianjun Chen ◽  
Jianjing Zheng ◽  
Yao Zheng ◽  
Zhoufang Xiao ◽  
Hang Si ◽  
...  
Keyword(s):  
Tetrahedral Mesh ◽  
Mesh Improvement

scholarly journals Tetrahedral Mesh Improvement Using Moving Mesh Smoothing and Lazy Searching Flips

2016 ◽  
Vol 163 ◽  
pp. 302-314 ◽  
Author(s):  
Franco Dassi ◽  
Lennard Kamenski ◽  
Hang Si
Keyword(s):  
Moving Mesh ◽  
Tetrahedral Mesh ◽  
Mesh Smoothing ◽  
Mesh Improvement

scholarly journals Aggressive Tetrahedral Mesh Improvement

2007 ◽  
pp. 3-23 ◽  
Author(s):  
Bryan Matthew Klingner ◽  
Jonathan Richard Shewchuk
Keyword(s):  
Tetrahedral Mesh ◽  
Mesh Improvement
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