On the Numerical Solution of a Hyperbolic Inverse Boundary Value Problem in Bounded Domains

On the Numerical Solution of a Hyperbolic Inverse Boundary Value Problem in Bounded Domains

We consider the inverse problem of reconstructing the boundary curve of a cavity embedded in a bounded domain. The problem is formulated in two dimensions for the wave equation. We combine the Laguerre transform with the integral equation method and we reduce the inverse problem to a system of bound...

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Bibliographic Details
Main Authors: Roman Chapko, Leonidas Mindrinos
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
boundary reconstruction
Laguerre transform
modified single layer potential
non-linear boundary integral equation
quadrature rules
Tikhonov regularization
Online Access:https://www.mdpi.com/2227-7390/10/5/750

Internet

https://www.mdpi.com/2227-7390/10/5/750

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