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Radiative heating of a glass plate: the semi-discrete problem (second revision)

Abstract : In a preceding paper (MSIA, 2012), we have studied the radiative heating of a glass plate. We have proved existence and uniqueness of the solution. Here, we want to study the semi-discrete problem and to prove a priori error estimates. Previously, in that purpose, we have to study the regularity of the solution to the exact problem and of its time derivative. A very important property, Proposition 13, is remarked concerning our elliptic projection, the milestone in deriving the a priori error estimates. A numerical test corroborating our theoretical a priori bounds is given.
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Submitted on : Thursday, April 29, 2021 - 4:50:02 PM
Last modification on : Wednesday, July 13, 2022 - 11:02:56 AM




Luc Paquet. Radiative heating of a glass plate: the semi-discrete problem (second revision). Afrika Matematika, Springer, 2018, 29 (1-2), pp.295-330. ⟨10.1007/s13370-018-0542-z⟩. ⟨hal-03212551⟩



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