Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:289

Article

Van Bockstal, K.¹  De Staelen, R. H.¹  Slodicka, M.¹ 

[1] Univ Ghent, Res Grp Numer Anal & Math Modeling NaM2, Dept Math Anal, B-9000 Ghent, Belgium

关键词: Parabolic IBVP;    Inverse problem;    Convolution kernel;    Reconstruction;    Convergence;    Time discretization;   

DOI  :  10.1016/j.cam.2015.02.019

来源: Elsevier

【 摘 要 】

In this contribution, the reconstruction of a solely time-dependent convolution kernel is studied in an inverse problem arising in the theory of heat conduction for materials with memory. The missing kernel is recovered from a measurement of the average of temperature. The existence, uniqueness and regularity of a weak solution is addressed. More specific, a new numerical algorithm based on Rothe's method is designed. The convergence of iterates to the exact solution is shown. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

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