In this work we analyze a problem of thermal insulation from the numerical point of view via finite element method. Physically, we are considering a domain of given temperature, thermally insulated by surrounding it with a constant amount of thermal insulator. From the mathematical point of view, this problem is composed by an elliptic partial differential equation with Robin-Dirichlet boundary conditions. Our question is related to the best (or worst) shape for the external domain, in terms of heat dispersion (of course, under prescribed geometrical constraints).

中文翻译：

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绝缘问题的数字提示

在这项工作中，我们通过有限元方法从数值角度分析了隔热问题。在物理上，我们正在考虑一个给定温度的域，通过用恒定数量的绝热体围绕它来隔热。从数学的角度来看，这个问题是由一个具有 Robin-Dirichlet 边界条件的椭圆偏微分方程组成。我们的问题与外部域的最佳（或最差）形状有关，就散热而言（当然，在规定的几何约束下）。