Methods for multiscale inverse problems

Applied and Computational Mathematics Seminar
Monday, September 28, 2015 - 14:05
1 hour (actually 50 minutes)
Skiles 005
GA Tech
I will discuss inverse problems involving elliptic partial differential equations with highly oscillating coefficients. The multiscale nature of such problems poses a challenge in both the mathematical formulation and the numerical modeling, which is hard even for forward computations. I will discuss uniqueness of the inverse in certain problem classes and give numerical methods for inversion that can be applied to problems in medical imaging and exploration seismology.