The unsymmetric finite element formulation and variational incorrectness
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
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Title |
The unsymmetric finite element formulation and variational
incorrectness
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Creator |
G, Prathap
V, Senthilkumar |
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Subject |
Civil & Structural Engineering
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Description |
The unsymmetric finite element formulation has been proposed recently to improve
predictions from distorted finite elements. Studies have also shown that this special
formulation using parametric functions for the test functions and metric functions for the
trial functions works surprisingly well because the former satisfy the continuity
conditions while the latter ensure that the stress representation during finite element
computation can retrieve in a best-fit manner, the actual variation of stress in the metric
space. However, a question that remained was whether the unsymmetric formulation was
variationally correct. Here we determine that it is not, using the simplest possible element
to amplify the principles.
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Date |
2007-05-10
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Type |
Article
PeerReviewed |
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Format |
application/pdf
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Identifier |
http://cir.cmmacs.ernet.in/91/1/The%20unsymmetric%20finite%20element%20formulation%20and%20variational%20incorrectness.pdf
G, Prathap and V, Senthilkumar (2007) The unsymmetric finite element formulation and variational incorrectness. Structural Engineering and Mechanics, 26 (1). pp. 31-42. |
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Relation |
http://cir.cmmacs.ernet.in/91/
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