Identification of memory kernels in hyperbolic problems

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• 作者：M. Slodička ; ^{marian.slodicka@ugent.be" class="auth_mail" title="E-mail the corresponding author} ; ; L. &Scaron ; eliga ^{lukas.seliga@ugent.be" class="auth_mail" title="E-mail the corresponding author}
• 关键词：65M32 ; 65M20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：618-629
• 全文大小：460 K

文摘

A linear wave equation with an unknown time-convolution kernel is considered. The missing kernel is recovered from an additional (space) integral measurement. The global in time existence, uniqueness as well as the regularity of a solution is addressed. A new numerical algorithm based on Rothe’s method is designed and convergence of iterates is supported by a numerical experiment.