scholarly journals A simple algorithm for adaptive refinement of tetrahedral meshes combined with edge elements

1993 ◽  
Vol 29 (2) ◽  
pp. 1898-1901 ◽  
Author(s):  
P. Olszewski ◽  
T. Nakata ◽  
N. Takahashi ◽  
K. Fujiwara
Keyword(s):  
Simple Algorithm ◽  
Adaptive Refinement ◽  
Edge Elements ◽  
Tetrahedral Meshes

Simple algorithm for adaptive refinement of three-dimensional finite element tetrahedral meshes

AIAA Journal ◽  
1995 ◽  
Vol 33 (5) ◽  
pp. 928-932 ◽  
Author(s):  
S. N. Muthukrishnan ◽  
P. S. Shiakolas ◽  
R. V. Nambiar ◽  
K. L. Lawrence
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Simple Algorithm ◽  
Adaptive Refinement ◽  
Tetrahedral Meshes ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

Communication-Free Streaming Mesh Refinement

2005 ◽  
Vol 5 (4) ◽  
pp. 309-316 ◽  
Author(s):  
Philippe P. Pébay ◽  
David Thompson
Keyword(s):  
Mesh Refinement ◽  
Equal Length ◽  
Adaptive Refinement ◽  
Tetrahedral Meshes

This article presents a technique for the adaptive refinement of tetrahedral meshes. What makes this method new is that no neighbor information is required for the refined mesh to be compatible everywhere. Refinement consists of inserting new vertices at edge midpoints until some tolerance (geometric or otherwise) is met. For a tetrahedron, the six edges present 26=64 possible subdivision combinations. The challenge is to triangulate the new vertices (i.e., the original vertices plus some subset of the edge midpoints) in a way that neighboring tetrahedra always generate the same triangles on their shared boundary. A geometric solution based on edge lengths was developed previously, but did not account for geometric degeneracies (edges of equal length). This article provides a solution that works in all cases, while remaining entirely communication-free.

Efficient mode analysis with edge elements and 3-D adaptive refinement

1994 ◽  
Vol 42 (1) ◽  
pp. 99-107 ◽  
Author(s):  
N.A. Golias ◽  
A.G. Papagiannakis ◽  
T.D. Tsiboukis
Keyword(s):  
Adaptive Refinement ◽  
Mode Analysis ◽  
Edge Elements
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