All Outputs (2)

An optimal transport approach for solving dynamic inverse problems in spaces of measures (2020)
Journal Article
Bredies, K., & Fanzon, S. (2020). An optimal transport approach for solving dynamic inverse problems in spaces of measures. ESAIM: Mathematical Modelling and Numerical Analysis, 54(6), 2351-2380. https://doi.org/10.1051/m2an/2020056

In this paper we propose and study a novel optimal transport based regularization of linear dynamic inverse problems. The considered inverse problems aim at recovering a measure valued curve and are dynamic in the sense that (i) the measured data tak... Read More about An optimal transport approach for solving dynamic inverse problems in spaces of measures.

Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces (2020)
Journal Article
Fanzon, S., Ponsiglione, M., & Scala, R. (2020). Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces. Calculus of Variations and Partial Differential Equations, 59(4), Article 141. https://doi.org/10.1007/s00526-020-01787-5

In this paper we introduce Peierls–Nabarro type models for edge dislocations at semi-coherent interfaces between two heterogeneous crystals, and prove the optimality of uniformly distributed edge dislocations. Specifically, we show that the elastic e... Read More about Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces.