Abstract
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).
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