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
|
|
| Creator |
V, Senthilkumar
|
|
| Subject |
Finite Element Analysis
|
|
| Description |
It has been known for some time that distorted finite elements produce relatively
poor results. This has been related to the completeness condition. In this paper, we
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. The
simplest possible element is used to elucidate the principles
|
|
| Publisher |
International Conference on Computational & Experimental Engineering and Sciences (ICCES' 05)
|
|
| Date |
2005-12-01
|
|
| Type |
Book
PeerReviewed |
|
| Format |
application/pdf
|
|
| Identifier |
http://cir.cmmacs.ernet.in/285/1/Mesh%20distortion%20immunity%20of%20finite%20elements%20and%20the%20best%2Dfit%20paradigm_.pdf
V, Senthilkumar (2005) Mesh distortion immunity of finite elements and the best-fit paradigm. International Conference on Computational & Experimental Engineering and Sciences (ICCES' 05) . International Conference on Computational & Experimental Engineering and Sciences (ICCES' 05), India. |
|
| Relation |
http://cir.cmmacs.ernet.in/285/
|
|