The main idea of multi-frame super resolution (SR) algorithms is to recover a single high-resolution image from sequence low ones the same object. success SR approaches often related well registration and restoration steps. Therefore, we propose new approach based on partial differential equation (PDE)-constrained optimization fluid use fourth order PDE treat both steps that guarantee algorithm...

Abstract The intracellular transport process plays an important role in delivering essential materials throughout branched geometries of neurons for their survival and function. Many neurodegenerative diseases have been associated with the disruption transport. Therefore, it is to study how control localize necessary locations. Here, we develop a novel optimization model simulate traffic regula...

In this paper the reduced basis method is utilized to solve multiobjective optimization problems governed by linear variational equations. These problems often arise in practical applications, where the quality of the system behavior has to be measured by more than one criterium. For the numerical solution the weighting sum method is applied. This approach leads to an algorithm, where many para...

In this paper, we present the numerical solution for the PDE-constrained optimization problem arises in cardiac electrophysiology. The monodomain model, which is a well-established model for simulating electrical behavior of the cardiac tissue, appears as the constraint in our problem. Our objective is to search for the optimal applied current, which is able to dampen out the excitation wavefro...

We investigate a new numerical approach for the computation of the threedimensional flow in a discrete fracture network that does not require a conforming discretization of partial differential equations on complex three-dimensional systems of planar fractures. The discretization within each fracture is performed independently of the discretization of the other fractures and of their intersecti...