Applied Mathematics Seminars: An inverse problem from Solar Physics
1 December 2017 14:00 in CM219
A classic modelling task in Solar Physics is a boundary value problem: how to reconstruct the 3D magnetic field in the Sun's atmosphere given boundary data on the Sun's surface? The new generation of magnetic field models are time dependent, but this brings new problems as boundary data for the electric field, rather than just the magnetic field, are required. In this talk, I will present recent work on inverting Faraday's law: i.e., determining the electric field from observations of only the magnetic field. I will show that L1-minimization provides an elegant solution to this seemingly ill-posed inverse problem.
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