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| A direct derivation and proof of super-convergence of EEP displacement of simplified form in one-dimensional Ritz FEM |
| Received:May 15, 2016 Revised:June 05, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201604004 |
| KeyWord:Ritz FEM super-convergence convergence order element energy projection(EEP) |
| Author | Institution |
| 袁驷 |
清华大学 土木工程系 土木工程安全与耐久教育部重点实验室, 北京 |
| 邢沁妍 |
清华大学 土木工程系 土木工程安全与耐久教育部重点实验室, 北京 |
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| Abstract: |
| For one-dimensional Ritz Finite Element Method (FEM),when both the problems and solutions are sufficiently smooth,the super-convergent displacement from the simplified form of the Element Energy Projection (EEP) method is capable of producing a convergence order of hm+2 at any point on an element for elements of degree m(>1) in post-processing super-convergence stage of the FEM. Based on the transformation of two equivalent forms of the EEP,both the computational formula and the error term of EEP displacement solution of the simplified form are derived directly,and then its convergence orders are estimated. As a result,a new method has been developed for the mathematical derivation and proof of the super-convergence of EEP displacement of the simplified form. |