CAJ | 학술논문

Mortar元法（mortarelement method，MEM）是一种新型区域分解算法，它允许将求解区域分解为多个子域，在各个区域以最适合子域特征的方式离散。在各个区域的交界面上，边界节点不要求逐点匹配，而是通过建立加权积分形式的Mortar条件使得交界面上的传递条件在分布意义上满足。Mortar有限元法（mortar finite element method，MFEM）将MEM和有限元法（finite element method，FEM）相结合，在各区域中分别使用FEM网格离散，区域的交界面上通过施加Mortar条件实现区域间的自由度连续。该文阐述了非重叠Mortar有限单元法（non-overlappingMFEM，NO-MVEM）的基本原理，介绍了NO-MFEM的程序实现过程，使用NO-MFEM对2维静磁场问题和3维静电场问题进行了计算，并与FEM模型结果进行对比，验证了该文方法咐有效性。将NO-MFEM应用于电磁分析，丰富了电磁场数值计算理论，为运动涡流问题和大规模问题的分析提供了新的选择。
Mortar원법（mortarelement method，MEM）시일충신형구역분해산법，타윤허장구해구역분해위다개자역，재각개구역이최괄합자역특정적방식리산。재각개구역적교계면상，변계절점불요구축점필배，이시통과건립가권적분형식적Mortar조건사득교계면상적전체조건재분포의의상만족。Mortar유한원법（mortar finite element method，MFEM）장MEM화유한원법（finite element method，FEM）상결합，재각구역중분별사용FEM망격리산，구역적교계면상통과시가Mortar조건실현구역간적자유도련속。해문천술료비중첩Mortar유한단원법（non-overlappingMFEM，NO-MVEM）적기본원리，개소료NO-MFEM적정서실현과정，사용NO-MFEM대2유정자장문제화3유정전장문제진행료계산，병여FEM모형결과진행대비，험증료해문방법부유효성。장NO-MFEM응용우전자분석，봉부료전자장수치계산이론，위운동와류문제화대규모문제적분석제공료신적선택。
The mortar element method （MEM） is a new domain decomposition technique. MEM allows to take benefit of the presence of the subdomains in order to choose the discretization method, which is best adapted to the local behavior of the solution of the partial differential equation. In mortar finite element method （MFEI~I） a discretized mortar space is introduced to approximate the original continuous function space. The continuity of degree of freedoms across the non-conforming interface is ensured by the surface integration in a weak sense. The MFEM could ＂Mortar＂ the inter face between subdomains effectively. This paper gave the fundamental of non-overlapping MFEM （NO-MFEM）; the procedures of calculating the mortar condition were discussed; the calculation and construction of the global matrix was proposed. By two dimensional static magnetic model and three dimensional electrostatic model, the validity of NO-MFEM was proved. This work is fundamental for extending MFEM to the other applications in computational electromagnetics.