3 papers
math.NA2024
Quantum-assisted hλ-adaptive finite element method
R. H. Drebotiy, H. A. Shynkarenko
We propose a novel finite element method scheme for singularly perturbed advection-diffusion-reaction problems, which combines certain quantum-assisted stabilization scheme with a…
math.NA2024
Convergence of the directional diffusion splitting method
R. Drebotiy, H. Shynkarenko
We provide the proof of convergence of the directional diffusion splitting scheme for two-dimensional parabolic and elliptic advection-diffusion-reaction problems with certain rest…
math.NA2024
Directional diffusion splitting method for advection-diffusion-reaction model
R. Drebotiy, H. Shynkarenko
We propose certain approach of solving two-dimensional non-stationary and stationary advection-diffusion-reaction boundary value problems through their reduction to the set of corr…