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利用多尺度渐近展开和均匀化思想讨论了小周期复合材料的稳态热问题,得到了非齐次边界条件下二阶椭圆型方程的渐近解,并给出了原始解与渐近解之间的误差估计,数值结果表明了结论的正确性.
The steady-state heat problem of small periodic composites was discussed by using the idea of multi-scale asymptotic expansion and homogenization. The asymptotic solutions of the second-order elliptic equations with nonhomogeneous boundary conditions were obtained, and the original and asymptotic solutions The error between the estimates, the numerical results show the correctness of the conclusions.