Reconstruction of obstacles in a Stokes flow as a shape-from-moments problem
Numerical Analysis
2023-09-27 v1 Numerical Analysis
Analysis of PDEs
Abstract
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 shape-from-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.
Keywords
Cite
@article{arxiv.2309.14956,
title = {Reconstruction of obstacles in a Stokes flow as a shape-from-moments problem},
author = {Alexandre Munnier},
journal= {arXiv preprint arXiv:2309.14956},
year = {2023}
}