Abstract | ||
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In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of the plate. The plate is made by non-homogeneous linearly elastic material belonging to a general class of anisotropy. For this severely ill-posed problem, under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a stability estimate of log-log type. |
Year | DOI | Venue |
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2012 | 10.1137/110852073 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
inverse problems,elastic plates,stability estimates,unique continuation,rigid inclusion | Mathematical optimization,Anisotropy,Mathematical analysis,A priori and a posteriori,Transversal (geometry),Inverse problem,Directional derivative,Elasticity (economics),Mathematics | Journal |
Volume | Issue | ISSN |
44 | 3 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Antonino Morassi | 1 | 4 | 2.91 |
Edi Rosset | 2 | 9 | 3.93 |
Sergio Vessella | 3 | 12 | 4.98 |