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Colloquia Archive
Untitled Document
| DATE: |
Friday, April 4th, 2008 |
| TITLE: |
FORMULATION OF A TARGET-MATRIX PARADIGM FOR MESH OPTIMIZATION
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| TIME: |
3:30 PM |
| LOCATION: |
GMCS 214 |
| SPEAKER: |
Patrick M. Knupp
Optimization and Uncertainty Estimation Department
Sandia National Laboratories
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| ABSTRACT: |
PDE simulations generally require a mesh on which
the physical domain is discretized. The mesh can have a strong impact on
solution accuracy & efficiency if not constructed properly.
Methods to address this issue include solution-adaptive meshes, smoothing
& swapping, and mesh optimization. An extension of Direct optimization
(Castillo & others) will be described in this talk.
A Target-Matrix paradigm (TMP) for improving mesh quality by node repositioning
via optimization is formulated in which target matrices describe the desired
Jacobian matrix at mesh sample points. Attention is devoted to basic definitions
& properties of mesh-based matrices, local & non-local quality
metrics, and objective functions based on the power-mean.
New local metrics are proposed that satisfy seven important requirements
for a properly formulated mesh quality metric.
Numerical experiments illustrate the theoretical properties and indicate
the potential of this paradigm.
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| HOST: |
Jose Castillo |
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Computational Science Research Center :: 5500 Campanile Drive :: San Diego, CA 92182-1245 :: (619) 594-3430
©2007 Computational Science Research Center, SDSU - All rights
reserved.
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Last
updated:
February 21, 2008 8:38 AM
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