本文最后应用二维拉格朗日有限元程序DYNA2D进行了数值模拟研究。
Finally, the numerical simulation has been performed with the finite element hydrocode DYNA2D.
数值实验表明这种代数多重网格法对求解二次拉格朗日有限元方程是健壮和有效的。
Numerical experiments show our AMG method is robust and efficient for solving the quadratic Lagrangian finite element system.
本文针对带有间断系数的三维椭圆问题，讨论任意四面体剖分下的二次拉格朗日有限元方程的代数多重网格法。
In this paper, we consider a quadratic Lagrangian finite element equation arising from discretizations of 3d elliptic problem with jump coefficients under any tetrahedral partition.
采用有限元软件MARC基于不同拉格朗日法建立了一个有限元模型来分析深冲压成形过程。
Finite element models based on different Lagrangian methods have been used to analyze the deep drawing process by the fe software, MARC.
依据大变形理论和虚功原理对高速切削过程进行分析，建立了基于拉格朗日描述的有限元控制方程并采用二维有限元模型进行模拟。
Large deformation theory and virtual work principle were applied to analyses high - speed machining process, the finite element governing equation was approached based on Lagrangian description.
结果表明，使用拉格朗日插值方式能大大提高运算效率，在低有限元个数的情况下很快收敛。
The results show that when the Lagrange interpolation is used the efficiency of calculation is elevated significantly. And the calculation converges quickly at low finite element number.
同时介绍了大变形问题的两种非线性有限元方法：全拉格朗日法T。
At the same time two nonlinear finite element equations for large deformation problem are introduced: the Total Lagrange approach and the Updated Lagrange approach.
迄今为止，对于并行有限元或并行边界元的研究已经取得一些成果，但关于并行显式拉格朗日有限差分法的研究则鲜见报导。
Up to now, studies on parallel finite element method or parallel boundary element method have gained great success, but on parallel explicit Lagrangian FDM, there are still many things to do.
迄今为止，对于并行有限元或并行边界元的研究已经取得一些成果，但关于并行显式拉格朗日有限差分法的研究则鲜见报导。
Up to now, studies on parallel finite element method or parallel boundary element method have gained great success, but on parallel explicit Lagrangian FDM, there are still many things to do.
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