Computational and Analytical Methods for Inverse Problems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 31 December 2024 | Viewed by 842
Special Issue Editor
Interests: inverse problems; dynamic systems; feedback controls; numerical mathematics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The aim of this Special Issue is to gather recent results on analytical and computational methods for inverse problems that appear in various physical systems. It is often the case that, given a physical system, a subsurface material property is unknown. Given a set of observations, the goal of an inverse problem is to recover the material property based on the given input/output data. Important physical applications include land/sea mine detection, breast cancer identification and many more. It is often the case that the system includes an unknown boundary condition such as surface ablation in re-entry vehicles or plasma location inside a Tokamak. Such problems are often referred to as Cauchy problems. It is well known that both Cauchy problems and inverse problems are severely ill-posed.
The aim of this Special Issue is to gather recent results on such problems. In particular, new results on computational and analytical methods for such problems are welcomed. Applications of the existing methods to various fields are also welcomed, such as imaging biological systems, recovering subsurface material properties in elastic/chemical/thermal systems, and recovering interior unknowns from boundary measurements in furnaces/Tokamaks. Theoretical results on the uniqueness, regularity and identifiability of unknown functions/boundaries are also welcomed. New results on the regularization of such problems are also welcomed.
Dr. Mohsen Tadi
Guest Editor
Manuscript Submission Information
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Keywords
- inverse problem
- Cauchy problem
- regularization
- land/sea mine detection
- impedance tomography
- inverse wave scattering in elastic/electromagnetic domains
