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| Algorithm of super-convergent in one-dimensional C1 FEM based on improved displacement mode |
| Received:June 30, 2011 Revised:October 31, 2011 |
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| DOI：10.7511/jslx20125014 |
| KeyWord:FEM pre-processing displacement mode one-dimensional C1 problem super-convergence |
| Author | Institution |
| 唐义军 |
湖南大学 土木工程学院, 长沙 |
| 罗建辉 |
湖南大学 土木工程学院, 长沙 |
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| Abstract: |
| Algorithm of super-convergent in one-dimensional C1 FEM based on an improved displacement mode is presented.an explicit analytical formula of super-convergent calculating is derived with the conditions of equilibrium equations must be meet within the element,the displacement mode of high-order finite element solution is expressed with a conventional finite element solution,the new displacement model is constructed with the sum of the displacement model of conventional finite element and the high-order displacement model of finite element solution.The element stiffness matrix is derived using the integral form,the super-convergent formula is used for this algorithm at the stage of pre-processing for improving the accuracy of the solution and reducing the residual of balance equation,the higher-order trial functions is added at the foundation of the original trial function,the representative example is present for the Hermite element in this paper,the displacement and the derivative accuracy of nodes and elements have reached h4 order. |
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