Displaying similar documents to “Global superconvergence of finite element methods for parabolic inverse problems”

Identification of parameters in parabolic inverse problems

Azari, Hossein, Liu, Tang, Zhang, Shuhua

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In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.

Existence of a classical solution for linear parabolic systems of nondivergence form

Masashi Misawa (2004)

Commentationes Mathematicae Universitatis Carolinae

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We prove the unique existence of a classical solution for a linear parabolic system of nondivergence and nondiagonal form. The key ingredient is to combine the energy estimates with Schauder estimates and to obtain a uniform boundedness of a solution.