2 papers
math.NA2024
A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics
Doghonay Arjmand, Victor Martinez Calzada
The demagnetization field in micromagnetism is given as the gradient of a potential which solves a partial differential equation (PDE) posed in R^d. In its most general form, this…
math.NA2023
Efficient low rank approximations for parabolic control problems with unknown heat source
Doghonay Arjmand, Maksat Ashyraliyev
An inverse problem of finding an unknown heat source for a class of linear parabolic equations is considered. Such problems can typically be converted to a direct problem with non-…