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Title: A methodology for quadrilateral finite element mesh coarsening

Abstract

High fidelity finite element modeling of continuum mechanics problems often requires using all quadrilateral or all hexahedral meshes. The efficiency of such models is often dependent upon the ability to adapt a mesh to the physics of the phenomena. Adapting a mesh requires the ability to both refine and/or coarsen the mesh. The algorithms available to refine and coarsen triangular and tetrahedral meshes are very robust and efficient. However, the ability to locally and conformally refine or coarsen all quadrilateral and all hexahedral meshes presents many difficulties. Some research has been done on localized conformal refinement of quadrilateral and hexahedral meshes. However, little work has been done on localized conformal coarsening of quadrilateral and hexahedral meshes. A general method which provides both localized conformal coarsening and refinement for quadrilateral meshes is presented in this paper. This method is based on restructuring the mesh with simplex manipulations to the dual of the mesh. Finally, this method appears to be extensible to hexahedral meshes in three dimensions.

Authors:
 [1];  [2];  [3]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Brigham Young University, Provo, UT (United States)
  3. Univ. of Texas, Austin, TX (United States). Institute for Computational Engineering and Sciences (ICES)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1426953
Report Number(s):
SAND-2007-1498J
Journal ID: ISSN 0177-0667; 526842
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Engineering with Computers
Additional Journal Information:
Journal Volume: 24; Journal Issue: 3; Journal ID: ISSN 0177-0667
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Adaptivity; Quadrilateral; Coarsening; Refinement; Finite elements

Citation Formats

Staten, Matthew L., Benzley, Steven, and Scott, Michael. A methodology for quadrilateral finite element mesh coarsening. United States: N. p., 2008. Web. doi:10.1007/s00366-008-0097-y.
Staten, Matthew L., Benzley, Steven, & Scott, Michael. A methodology for quadrilateral finite element mesh coarsening. United States. doi:10.1007/s00366-008-0097-y.
Staten, Matthew L., Benzley, Steven, and Scott, Michael. Thu . "A methodology for quadrilateral finite element mesh coarsening". United States. doi:10.1007/s00366-008-0097-y. https://www.osti.gov/servlets/purl/1426953.
@article{osti_1426953,
title = {A methodology for quadrilateral finite element mesh coarsening},
author = {Staten, Matthew L. and Benzley, Steven and Scott, Michael},
abstractNote = {High fidelity finite element modeling of continuum mechanics problems often requires using all quadrilateral or all hexahedral meshes. The efficiency of such models is often dependent upon the ability to adapt a mesh to the physics of the phenomena. Adapting a mesh requires the ability to both refine and/or coarsen the mesh. The algorithms available to refine and coarsen triangular and tetrahedral meshes are very robust and efficient. However, the ability to locally and conformally refine or coarsen all quadrilateral and all hexahedral meshes presents many difficulties. Some research has been done on localized conformal refinement of quadrilateral and hexahedral meshes. However, little work has been done on localized conformal coarsening of quadrilateral and hexahedral meshes. A general method which provides both localized conformal coarsening and refinement for quadrilateral meshes is presented in this paper. This method is based on restructuring the mesh with simplex manipulations to the dual of the mesh. Finally, this method appears to be extensible to hexahedral meshes in three dimensions.},
doi = {10.1007/s00366-008-0097-y},
journal = {Engineering with Computers},
number = 3,
volume = 24,
place = {United States},
year = {2008},
month = {3}
}

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Cited by: 9 works
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