An optimization approach for the Cauchy problem in linear elasticity
| Autor: | Thouraya Baranger, Stéphane Andrieux |
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| Rok vydání: | 2007 |
| Předmět: |
Cauchy problem
Mathematical optimization Control and Optimization Optimization problem Computation Linear elasticity Inverse problem Computer Graphics and Computer-Aided Design Computer Science Applications Control and Systems Engineering Robustness (computer science) Initial value problem Software Energy functional Mathematics |
| Zdroj: | Structural and Multidisciplinary Optimization. 35:141-152 |
| ISSN: | 1615-1488 1615-147X |
| DOI: | 10.1007/s00158-007-0123-5 |
| Popis: | An energy error functional is introduced in the context of the ill-posed problem of boundary data recovery in linear elasticity, which is well known as the Cauchy problem. The problem is converted into one of optimization; the computation of the gradients of the energy functional is given for both the continuous and the discrete problems. Links with existing methods for data completion are described and numerical experiments highlight the efficiency of the proposed method as well as its robustness in the case of singular data. |
| Databáze: | OpenAIRE |
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