基于自然边界元与有限元耦合的重叠型迭代算法

了更充分地利用有限元与自然边界元各自的优点，并尽量减少由于方法的局限性造成的在计算量及计算精度上的不足，本文引入了有限元与自然边界元耦合的方法。在文中简单介绍了自然边界元法及其与有限元耦合的原理，通过设置含有重叠区域的圆形人工边界，实现自然边界元与有限元的耦合，并把该方法应用到无界区域的实际算例中。从计算结果的比较中可以看出自然边界元与有限元耦合算法的收敛速度更快，充分体现了耦合法在解决无界区域问题上的优越性。

Overlapping Iterative Algorithm Based on Coupling Method of Natural Boundary Element and Finite Element

In order to make better use of finite element and boundary element＇s the merits, with the deficiencies minimized in the amount of calculation and accuracy on the deficiencies caused by method limitations, the natural boundary element method and its coupling with the finite element process are introduced. The natural boundary element method and its coupling with the finite element process in the text are simply described. A briefing on the natural boundary element iterative realization of superposition domain is given by setting a circular artificial boundary containing the overlap region. The method is applied to the real unbounded example. With the results from the different calculation methods compared, the precision and algorithm converges of results by using coupling method are better than the others. The superiority of coupling method to solve unbounded regional problems is fully reflected in the analysis.