RECONSTRUCTION OF OBSTACLES IN A STOKES FLOW AS A SHAPE-FROM-MOMENTS PROBLEM

被引：0
|
作者：
Munnier, Alexandre [1 ]
机构：
[1] Univ Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
来源：
INVERSE PROBLEMS AND IMAGING | 2024年
关键词：
Geometric inverse problem; Stokes equations; non-primitive variables; shape-from-moments problem; biharmonic single-layer potential; Prony's system; partial balayage; QUADRATURE DOMAINS; INVERSE PROBLEM;
D O I：
10.3934/ipi.2024017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We address the classical inverse problem of recovering the position and shape of obstacles immersed in a planar Stokes flow using boundary measurements. We prove that this problem can be transformed into a shapefrom -moments problem to which ad hoc reconstruction methods can be applied. The effectiveness of this approach is confirmed by numerical tests that show significant improvements over those available in the literature to date.
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页数：23
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