论文标题
用Dirichlet的Stokes液体识别边界障碍物 - 纳维尔边界条件：外部测量
Identification of a boundary obstacle in a Stokes fluid with Dirichlet--Navier boundary conditions: external measurements
论文作者
论文摘要
识别障碍物到液体导管中的问题有多种应用，其中之一在医学中，冠状动脉血管中存在狭窄是一种威胁生命的疾病。在本文中，我们从数值角度从数值角度制定了连续的设置和研究，即识别2D管中包含的障碍物的逆问题，其中Stokes流动在边界上的流量（Dirichlet和Navier-Slip-Slip边界条件）产生了声波。确切地说，通过在管道外部的某些点上使用声波测量值，我们可以识别阻塞的位置，延伸和高度。因此，我们的框架构成了解决这个障碍隔离问题的外部方法。合成示例用于验证提出的数值公式的有效性。
The problem of identifying an obstruction into a fluid duct has several applications, one of them, for example in medicine the presence of Stenosis in coronary vessels is a life threatening disease. In this paper, we formulate a continuous setting and study from a numerical perspective the inverse problem of identifying an obstruction contained in a 2D duct where a Stokes flow hits on the boundary (Dirichlet and Navier--slip boundary conditions), generating an acoustic wave. To be precise, by using acoustic wave measurements at certain points on the exterior of the duct, we can identify the location, extension and height of the obstruction. Thus, our framework constitutes an external approach to solving this obstacle-inverse problem. Synthetic examples are used to verify the effectiveness of the proposed numerical formulation.
