2 papers
math.OC2020
An optimization-based approach to parameter learning for fractional type nonlocal models
Olena Burkovska, Christian Glusa, Marta D'Elia
Nonlocal operators of fractional type are a popular modeling choice for applications that do not adhere to classical diffusive behavior; however, one major challenge in nonlocal si…
math.NA2019
Affine approximation of parametrized kernels and model order reduction for nonlocal and fractional Laplace models
Olena Burkovska, Max Gunzburger
We consider parametrized problems driven by spatially nonlocal integral operators with parameter-dependent kernels. In particular, kernels with varying nonlocal interaction radius…