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本文试图采用基于边界积分方程的一种边界分元的数值计算方法——边界元法,来分析我所2×6MV串列加速器的束流光学元件的电磁场。因为该方法不同于有限差分法和有限单元法的新方法,而且它具有以下优点:边界无法所依据的数学原理简单、易懂,便于推广应用;数值计算精度高;目前广泛应用的有限单元法和有限差分法都属于‘域法’,即在整个求解域里划分成许多细小的单元或网格,然后把各单元或网格换成简单的等价模型,再把它们联系起来。而边界元法只需要在边界上剖分、离散。因此,解算一个问题所要的方程组少,输入数据简单等。
This paper attempts to use a boundary element method based on the boundary integral equation - the boundary element method to analyze the electromagnetic field of a beam optical element in a 2 × 6 MV tandem accelerator. Because this method is different from the finite difference method and the finite element method of the new method, and it has the following advantages: the boundary can not be based on the mathematical principles of simple, easy to understand, easy to promote the application of numerical accuracy; the widely used finite element method And the finite difference method belong to the domain method, that is, dividing the whole solution domain into many small units or grids, and then replacing the units or grids into simple equivalent models and linking them. The boundary element method only needs to divide and disperse on the boundary. Therefore, the equations needed to solve a problem are few and the input data is simple.