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This paper aims to prove existence and uniqueness of a solution to the coupling of a nonlinear heat equation with nonlinear boundary conditions with the exact radiative transfer equation, assuming the absorption coefficient to be piecewise constant and null for small values of the wavelength as in the paper of N. Siedow, T. Grosan, D. Lochegnies, E. Romero, “Application of a New Method for Radiative Heat Tranfer to Flat Glass Tempering”, J. Am. Ceram. Soc., 88(8):2181-2187 (2005). An important...
We consider H(curl;Ω)-elliptic problems that have been discretized by
means of Nédélec's edge elements on tetrahedral meshes. Such
problems
occur in the numerical computation of eddy currents. From the defect
equation we derive localized expressions that can be used
as a posteriori error estimators to control adaptive
refinement.
Under certain assumptions on material parameters and computational
domains, we derive local lower bounds and a global upper bound for the
total error measured in...
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