Numerical methods for multiscale inverse problems
Christina Frederick, Bjorn E. Engquist · Communications in Mathematical Sciences · 2017
We consider the inverse problem of determining the highly oscillatory coefficient $a^ε$ in partial differential equations of the form $- abla\cdot (a^ε abla u^ε)+bu^ε= f$ from given measurements of the solutions. Here, $ε$ indicates the smallest characteristic wavelength in the problem ($0 0$, and exploration seismology, $b < 0$.