期刊
APPLIED MATHEMATICAL MODELLING
卷 79, 期 -, 页码 914-933出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.10.066
关键词
Inverse problem; Fourth-order problem; Hyperbolic problem; Unknown source; Time discretization; Error estimates
资金
- Research Foundation - Flanders [106016/12P2919N]
- Ministry of Research and Innovation, CNCS-UEFISCDI, within PNCDI III [PN-III-P4-ID-PCE-2016-0083]
In this paper, the theoretical and numerical determination of a solely time-dependent load distribution is investigated for a simply supported non-homogeneous Euler-Bernoulli beam. The missing source is recovered from an additional local integral measurement. The existence and uniqueness of a solution to the corresponding variational problem is proved by employing Rothe's method. This method also reveals a time-discrete numerical scheme based on the backward Euler method to approximate the solution. Corresponding error estimates are proved and assessed by two numerical experiments. (C) 2019 Elsevier Inc. All rights reserved.
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