Heat conduction in perforated metal plates. Part I: Model and weak solution in a step of time
Keywords:
Weak formulation, heat conduction model, well-posedness problemAbstract
We propose a weak formulation of a heat conduction model for the detection of holes in metallic plates. An implicit discretization in time leads to a coupled, linear system of partial differential equations. At each time step, the system reduces to a Helmholtz problem with Robin boundary conditions and we show that its equivalent weak formulation is a well-posedness problem.
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