无单元法(EFGM)——在岩土工程上有限元法的有力补充  

Element-Free Galerkin Method——powerful complement of finite element method in geotechnical engineering

作　　者：张延军[1] 肖树芳[1] 

机构地区：[1]吉林大学建设工程学院,吉林长春130026

出　　处：《计算力学学报》2003年第2期179-183,共5页Chinese Journal of Computational Mechanics

基　　金：吉林大学青年教师基金资助项目.

摘　　要：作为一种新的岩土工程数值计算方法,无网格伽辽金法具有局部化技术的无单元特性。该法与传统FEM相比,在精度和后处理等方面有着明显的计算优势。本文全面介绍了EFGM,并结合岩土工程领域中的土体固结变形问题,推导了EFGM的一维、二维固结问题的离散方程;同时对算例进行计算,将其结果与精确解和传统FEM解进行比较后,得出结论:精度是较高的,处理边界是准确的。尤其当与FEM联合使用时,既能发挥FEM的经验优势,又能体现EFGM的无网格特点,计算效果十分显著,因此,EFGM是FEM的有力补充。As a new developed means of numerical method in geotechnical engineering, the element-free Galerkin method (EFGM) is characterized by the local technique and element-free. Compared with the traditional FEM, it has more computation advantages in the such respects as accuracy, post-process, etc.. The paper introduces EFGM and deduces the one-dimensional and two-dimensional consolidation discrete equations by considering the problem of soil consolidation deformation in the geotechnical engineering. It also calculates two theoretical models and draws conclusions by comparing the results of EFGM with the ones of FEM. The implementation of EFGM can achieve more accuracy and obtain better solutions to the boundary. The combination of EFGM and FEM can both make a better use of FEM's advantages of experience and the present EFGM's features of element-free, thus making computation more effective. EFGM is a powerful complement of FEM.

关 键 词：无网格伽辽金法 固结方程 FEM-EFGM耦合方法 

分 类 号：O242.21[理学—计算数学]