中文摘要：

将子网格剖分的支撑算子方法,拓展应用于三维非匹配网格上的扩散方程求解.算例表明该方法在正交非匹配网格上能够精确获得线性解;在一般非匹配网格上可以达到二阶精度;在求解曲面网格和节点不共面网格时,精度比平面近似的方法要高,也可以达到2阶精度,同时也适合求解含有物质界面的混合介质网格.

英文摘要：

Sub-division method based on support operator is used to solve diffusion equation with three-dimensional non-conformal mesh and non-planar mesh. Numerical experiments show that the method is second-order accurate on general non-conformal mesh. For curved-face mesh and non-planar-face mesh, the method is more accurate than traditional plane-approximation method. For non- conformal orthogonal mesh, the method can obtain accurate solutions of linear problems.