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math.NA2026
Generalization of Strang-Fix remark for discrete maximum principles on tetrahedral meshes
Safdar Ali, Maksat Ashyraliyev, Sergey Korotov +1
Most of qualitative properties of finite element (FE) approximations for various PDE models, in particular the validity of the discrete maximum principles (DMPs), are usually guara…
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-…