摘要
代数多重网格法具有存贮量小、收敛精度高和计算时间少等优点,将代数多重网格方法引入到岩体力学有限元计算领域,论述了基于单元聚集和能量极小意义下适于岩体力学有限元求解的代数多重网格粗化策略与插值算子,并详细描述了相应的代数多重网格算法。数值试验表明:在岩体力学与工程问题的有限元数值计算中,代数多重网格求解法是高效的、适用的,较直接法和其他常用迭代方法具有明显的优越性。
The algebraic multigrid method is characterized by rapid convergence, high computational efficiency and less computer memory requirement. The algebraic multigrid method is applied to finite element analysis of rock mechanics and engineering. The coarse-grid selection method and interpolation operator based on element agglomeration and energy optimization, which are suitable for linear equations of finite element method of geomechanics, are discussed. Numerical tests show that the algebraic multigrid algorithm is robust when used in finite element analysis of rock mechanics and engineering. It has higher numerical efficiency than the direct method and other iterative methods for solving linear equations.
出处
《工程力学》
EI
CSCD
北大核心
2005年第5期165-170,共6页
Engineering Mechanics
关键词
岩体力学
有限元分析
代数多重网格法
粗化技术
插值算子
rock mechanics
finite element analysis
algebraic multigrid method
coarsening technique
interpolation operator
