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| A concise formulation of multivariable isoparametric elements based on weighted residual approach and its applications |
| Revised:October 23, 2002 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20044085 |
| KeyWord:weighted residual approach,isoparametric elements,multivariable isoparametric element,internal degree of freedom |
| Shi Baojun~ |
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| Abstract: |
| The research on isoparametric elements make significant sense in the development of finite element method. A concise formulation of multivariable isoparametric elements was present based on the rational principle of residual approach and the systematic method of constructing multivariable finite elements suggested by Shi Baojun. Then two concise and efficient plane four-node multivariable isoparametric elements MQ-4 and MQ-5 were constructed by this formulation. The former one, i.e. element MQ-4, does not contain internal degree of freedom. The later one, i.e. element MQ-5, contains one internal degree of freedom. The elements performances were examined by some typical numerical examples. Their numerical results were compared with those of other typical conforming and nonconforming isoparametric elements. The numerical results show that the multivariable isoparametric elements present in this paper can pass the patch test requirements and also possess high performance either in the case of regular mesh or that of irregular mesh. |
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