一种复杂多边形区域上重积分的计算方法

摘要

Two domain transformations are presented which can transform a triangular or quadrangular domain in -to the symmetrical square domain [-1,1] ×[-1,1] .A new calculation method for double integrals which co-operates this two domain transformations and domain division are proposed .With this method , some double inte-grals over any complex polygon domain can be solved more simply .%　　文中给出平面上任意四边形和三角形区域到对称正方形区域R＝[-1，1]×[-1，1]的区域变换。将此两种区域变换和区域分裂的思想结合起来，提出了一种新的复杂多边形区域上二重积分的计算方法。用这种方法，可有效地简化该类二重积分的计算。