| 题解有限元法和无网格伽辽金法 |
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| 引用本文： | 张俊贤,朱风风,王金田. 题解有限元法和无网格伽辽金法[J]. 山西建筑, 2010, 36(1): 68-69 |
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| 作者姓名： | 张俊贤 朱风风 王金田 |
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| 作者单位： | 烟台大学土木工程学院,山东,烟台,264005 |
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| 基金项目： | 山东省自然科学基金资助项目(项目编号:Y2006F46);;地震工程与工程振动开放实验室开放基金(项目编号:0218005) |
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| 摘 要： | 采用无网格伽辽金法和有限元法对一维问题进行了数值模拟,对结构体离散、刚度矩阵、等效节点荷载、边界条件、计算精度和效率等进行了比较,数值模拟结果表明,同样的节点划分,无网格伽辽金法得到的数值解精度较高、与解析解吻合较好,但是计算量大于有限元法。
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| 关 键 词： | 无网格伽辽金法 有限元法 移动最小二乘法 拉格朗日乘子法 |
Solutions to Finite Element Method and Element-Free Galerkin Method |
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| ZHANG Jun-xian,ZHU Feng-feng,WANG Jin-tian. Solutions to Finite Element Method and Element-Free Galerkin Method[J]. Shanxi Architecture, 2010, 36(1): 68-69 |
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| Authors: | ZHANG Jun-xian ZHU Feng-feng WANG Jin-tian |
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| Affiliation: | ZHANG Jun-xian ZHU Feng-feng WANG Jin-tian |
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| Abstract: | The Element-Free Galerkin Method(EFGM) and Finite Element Method(FEM) are adopted to numerically simulate a one-dimensional problem.Structure discretization,stiffness matrix and equivalent nodal load,boundary condition,computational precision and efficiency are compared.Numerical simulation shows if the node divides same,EFGM has higher precision and better agreement with analytical solution,but needs more calculating time. |
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| Keywords: | Element-Free Galerkin Method Finite Element Method moving least square method Lagrange multiplier method |
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