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中文摘要：
本文研究了无单元Galerkin方法中周期边界条件的处理技术,将Lagrange乘子法用于周期边界条件的处理.数值计算结果表明,该方法具有较高的计算精度.另外,它与无单元Galerkin方法中本质边界条件处理的Lagrange乘子法具有统一性,对于周期、本质混合型边界条件的处理尤为方便.
英文摘要：
In this paper,the Lagrange multiplier method has been used to impose periodic boundary conditions in the element free Galerkin method.Numerical results indicate that the method maintains the high accuracy property of the element free Galerkin method in periodic problems.In addition,based on the similarity between the method used in this paper for periodic boundary conditions and the Lagrange multiplier method for essential boundary conditions,it is convenient to impose periodicessential mixed boundary conditions.
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