It is difficult to achieve the analytical solution of temperature field with internal Joule heat generation under steady state electric field, especially when the distribution of the Joule heat is complicated.

• 摘要在稳恒电场条件下，尤其是当焦耳热分布情况很复杂时，求解含焦耳热源的稳态热传导问题解析解具有一定的困难。