Jyväskylä Inverse Problems Seminar
Jyväskylä Inverse Problems Seminar
The Inverse problems group at the University of Jyväskylä organizes a (roughly) weekly seminar. Please write to giovanni.g.covi@jyu.fi in order to be added to the newsletter, and never miss a seminar again!
Inverse problems are a branch of mathematics with both pure and applied aspects. In physics, engineering and other sciences, the focus usually lies in inferring effects from causes, i.e. in solving a so-called forward problem. What is inverted in an inverse problem is the causality: When we consider an inverse problem, we start with partial knowledge of the result (and perhaps of the causes), and our objective is to infer more about its causes.
The Jyväskylä Inverse Problem Seminar (JIPSem) is a series of lectures organized at the University of Jyväskylä by the Inverse Problems research group.
We discuss mainly pure mathematics. Examples include geometric inverse problems, inverse problems for PDEs, X-ray and electrical impedance tomography, and many more. Read more about our research at this webpage.
Besides our own members, we often host visiting scholars as speakers.
Time & Location: Tuesday, 20 January 14:00, room MaD108
Speaker: David Johansson (Aarhus University)
Title: Recovery of nonlinear material parameters in a quasilinear Lamé system
Abstract: In this talk I will discuss joint work with Yavar Kian. We study the identifiability of a nonlinear tensor in a quasilinear elliptic system, which is inspired by elasticity theory. The tensor depends on both the solution and the (symmetric) gradient of the solution, but is independent of space. As measurements we use point measurements at finitely many boundary points of the conormal derivative (or traction) of solutions generated by Dirichlet data (or boundary displacement) in the space of first order polynomials.
The method is based on linearization of the measurement data. From the first linearization we can recover the dependence on the solution of a very general anisotropic tensor, and from higher order linearizations we recover the dependence on the gradient of the solution of tensors in a somewhat less general family of anisotropic tensors. In the special case of a nonlinear isotropic elasticity tensor, measurements in a single boundary point is sufficient for uniqueness.
Time & Location: Tuesday, 27 January at 14:00, room MaD108
Speaker: Janne Nurminen
Title: TBA
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Time & Location: Tuesday, 3 February at 14:00, room MaD108
Speaker: Mikko Salo
Title: Introduction to methods for Inverse problems
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Time & Location: Tuesday, 10 February at 14:00, room MaD108
Speaker: Joonas Ilmavirta
Title: Introduction to Finsler geometry
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Time & Location: Tuesday, 17 February at 14:00, room MaD245
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Time & Location: Tuesday, 24 February at 14:00, room MaD245
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Time & Location: Tuesday, 3 March at 14:00, room MaD245
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Time & Location: Tuesday, 10 March at 14:00, room MaD245
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Time & Location: Tuesday, 17 March at 14:00, room MaD245
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Time & Location: Tuesday, 24 March at 14:00, room MaD245
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All the previous seminars and slides (when available) can be found at this page.