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Wolfgang Bangerth, Amit Joshi

**Adaptive finite element methods for nonlinear
inverse problems**

Proceedings of the 24rd ACM Symposium on Applied Computing,
March 8-12, 2009, Honolulu, Hawaii. D. Shin (ed.),
pp. 1002-1006.

Nonlinear inverse problems are usually formulated as optimization problems on
function spaces constrained by partial differential equations. As a
consequence, in realistic, three-dimensional cases, they become
extraordinarily expensive to solve numerically, and advanced methods like
adaptive mesh refinement become indispensible. In this contribution, we
outline such an adaptive algorithm and demonstrate results using a realistic
example from optical tomography.

*Wolfgang Bangerth*

* Tue Mar 6 08:14:52 MST 2018 *