改进的间接边界元法及其在研究电磁位场中的应用

A Modified Indirect Boundary Element Technique and Its Application to Electomagnetic Potential Problems

本文提出了一种改进的间接边界元法(MIBEM),该方法将源边界从场边界分离开来并移至区域外的某一位置,从而消除了拐角处的奇异性,极大地拓宽了间接边界元法的应用范围。为了验证该方法的正确性及有效性,作者应用MIBEM对电磁位场进行了研究,获得了令人满意的结果。

A modified indirect boundary element formulation is developed following a weighted residual approach. In this formulation, the fictitious source density, which appears in the integral equations of the method, is distributed on a surface which is exteriorly separated from the physical field boundary of the problem. This method does not require the evaluation of singular integrals and produces undeteriorated solutions at geometric discontinuities. In order to show the validity and usefulness of this technique, it is applied to two—dimensional electromagnetic potential problem, and several examples are investigated.