无网格伽辽金法的数学基础是移动最小二乘法。
The mathematical basis of EFGM is moving least squares method.
无单元伽辽金法现已成功地应用于弹性力学问题。
无单元伽辽金法（EFGM）求解几何非线性问题。
The element-free Galerkin (EFGM) method is extended to solving the geometrically nonlinear problem.
本文利用间断伽辽金法对自由空气爆炸进行了数值模拟。
In this paper, discontinuous Galerkin method (DGM) is used to numerically simulate spherical explosion in air.
本文利用间断伽辽金法对一维激波管问题进行了数值模拟。
In this paper, discontinuous Galerkin method (DGM) is used to numerically simulate one-dimensional shock tube problems.
应用无网格伽辽金法对轴对称几何非线性问题进行了分析。
The element free Galerkin method is applied into analysis of axisymmetric geometrical nonlinearities.
变换伽辽金法对具有梯形截面脊形光波导的本征模式特性作了分析。
The mode dispersion characteristics and cut-off properties of rib waveguide with trapezoidal cross section are investigated.
伽辽金法计算结果比里兹法计算结果略小，整体变化趋势基本相同。
The result of Rize method is on the small side than Galerkin method, but whole variant trend is identical.
本文分别介绍了三维无单元伽辽金法和非线性有限单元法及其相关理论。
The relevant theories of three-dimensions Element-free Galerkin method and Nonlinear Finite Element method are introduced in this paper.
着重研究了考虑CFRP存在的无网格伽辽金法在斜置裂纹扩展中的应用。
Research focused on the application of EFGM considering the existence of CFRP on the crack growth.
在采用罚函数法处理本质边界条件的基础上，推导出无单元伽辽金法解固结问题的系统方程。
On the basis of treating the essential boundary conditions with penalty method, the system equations of consolidation problem with meshless method are developed.
应用虚拟激励法与伽辽金法相结合，分析弹性圆拱在非平稳水平随机地震作用下的随机响应问题。
The nonstationary random response of elastic circular arch under horizontal seismic excitation was studied by the method combining the pseudo-excitation algorithm with Galerkin algorithm.
无网格伽辽金法(EFG)由于其近似函数的特殊性很难处理本质边界条件以及不连续介质边界条件。
Element free Galerkin method (EFG) is hard to handle nature boundary condition and the discontinuous medium boundary condition because of its special approximate function.
数值实例表明，无网格伽辽金法在处理几何非线性问题时，具有较高的计算精度，是一种有效的数值计算方法。
Results of numerical examples in geometrical nonlinearities have shown that element-free Galerkin method, with its high accuracy, is much more efficient to deal with these problems.
通过非线性振动中常用的里兹-伽辽金法，推出了两端铰支压杆大挠度问题的一个新近似公式，计算结果表明具有较高的精度。
A new approximate formula for the large deflection problem of compression bar with two ends are simply supported is obtained, by the use of Ritz-Galerkin method.
首先，采用伽辽金加权余量法推导有限元平衡方程，利用罚方法得到求解拟静态问题的罚有限元公式。
First, the penalty finite element balance equation for quasi-static problem is obtained by the application of Galerkin weighted residual method and the introduction of penalty parameter.
首先，采用伽辽金加权余量法推导有限元平衡方程，利用罚方法得到求解拟静态问题的罚有限元公式。
First, the penalty finite element balance equation for quasi-static problem is obtained by the application of Galerkin weighted residual method and the introduction of penalty parameter.
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