| CASCADIC MULTIGRID METHODS FOR MORTAR WILSON FINITE ELEMENT METHODS ON PLANAR LINEAR ELASTICITY |
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| 作者姓名： | 陈文斌 汪艳秋 |
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| 作者单位： | Department of Mathematics，Fudan University，Institute of Mathematics，Fudan University Shanghai P.R.C.200433，Shanghai P.R.C.200433 |
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| 基金项目： | The project is supported by the Special Funds for Major State Basic Research Projects G19990328 and the National Natural Science Foundation of China(No.10071015) |
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| 摘 要： | Cascadic multigrid technique for mortar Wilson finite element method of homogeneous boundary value planar linear elasticity is described and analyzed. First the mortar Wilson finite element method for planar linear elasticity will be analyzed, and the error estimate under L2 and H1 norm is optimal. Then a cascadic multigrid method for the mortar finite element discrete problem is described. Suitable grid transfer operator and smoother are developed which lead to an optimal cascadic multigrid method. Finally, the computational results are presented.
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CASCADIC MULTIGRID METHODS FOR MORTAR WILSON FINITE ELEMENT METHODS ON PLANAR LINEAR ELASTICITY |
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| Chen WenBin.CASCADIC MULTIGRID METHODS FOR MORTAR WILSON FINITE ELEMENT METHODS ON PLANAR LINEAR ELASTICITY[J].Numerical Mathematics A Journal of Chinese Universities English Series,2003,12(1). |
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| Authors: | Chen WenBin |
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| Institution: | 1. Department of Mathematics, Fudan University, Shanghai 200433, P.R.C.
2. Institute of Mathematics, Fudan University, Shanghai 200433, P.R.C. |
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| Abstract: | Cascadic multigrid technique for mortar Wilson finite element method of homogeneous boundary value planar linear elasticity is described and analyzed. First the mortar Wilson finite element method for planar linear elasticity will be analyzed, and the error estimate under L2 and H1 norm is optimal. Then a cascadic multigrid method for the mortar finite element discrete problem is described. Suitable grid transfer operator and smoother are developed which lead to an optimal cascadic multigrid method. Finally, the computational results are presented. |
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| Keywords: | cascadic multigrid method mortar Wilson finite element |
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