Mesh distortion immunity of finite elements and the best-fit paradigm
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Mesh distortion immunity of finite elements and the best-fit paradigm
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| Creator |
G, Prathap
V, Senthilkumar |
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| Subject |
Structural Mechanics
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| Description |
It has been known for some time that distorted finite elements produce relatively (and
sometimes, dramatically) poor results. This has been related to the completeness
condition. In this paper, we investigate this issue and propose that the abstract
mathematical viewpoint represented by the completeness condition is actually a statement
of the physical need for a finite element computation to recover accurate stresses in the
metric space. This follows from the projection theorem describing finite element analysis
which shows that the stresses computed by the displacement finite element procedure are
a best approximation of the true stresses at an element as well as global level. The
simplest possible element is used to elucidate the principles.
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| Publisher |
CSIR Centre for Mathematical Modelling and Computer Simulation
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| Date |
2005-03
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| Type |
Monograph
NonPeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/175/1/rrcm0501.pdf
G, Prathap and V, Senthilkumar (2005) Mesh distortion immunity of finite elements and the best-fit paradigm. Technical Report. CSIR Centre for Mathematical Modelling and Computer Simulation, C-MMACS,Bangalore 560037,India. (Unpublished) |
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| Relation |
http://cir.cmmacs.ernet.in/175/
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