Convection-diffusion equations with small diffusion and approaches for their solution

Nadir Bayramov

Oct. 23, 2012, 3:30 p.m. S2 059

Transient PDE-constrained optimal control problem is considered.
Corresponding projection gradient method for its numerical solution leads to
a set of convection-diffusion problems with different right-hand sides.
Because of the small diffusion coefficient standard methods result in
unstable numerical solutions, therefore advanced schemes for
convection-diffusion equations are considered.