有限元与边界元耦合法的数值计算

Numerical Computation of Coupling Finite Element with Boundary Element

本文采用了将边界元区域的全部未知量凝聚到耦合面上的方法来实现有限元与边界元的耦合,从而达到节省内存的目的。文中还就耦合中利用对称性时方程组产生奇异性的原因及耦合面上面力不连续的处理作了详细的讨论,提出了解决的办法,最后以三维问题为例,给出了算例。

To save computer storage, the paper uses method of condensing all the unknowns in domain of boundary element to coupling surface to realize couple between finite element and boundary element. It also thoroughly discusses the cause of singularity of simultaneous equations which is caused by utilizing symmetriz- ation of geometry and problem of surface traction discontinuitx in coupling surface, and presents a solvable method. Finally, taking three domensional problem as example, several exercises are studied.