Atılım University Mathematics Department Seminars

On The Adaptive Solutions of Non-Linear Reactive Flows Using Discontinuous Galerkin Space Discretization
Murat Uzunca
Atılım University, Turkey
Özet : Many engineering problems such as chemical reaction processes, heat conduction, nuclear reactors, population dynamics, porous medium in geosciences etc. are governed by coupled convection-diffusion partial differential equations (PDEs) with non-linear source or sink terms. It is a significant challenge to solve such PDEs numerically when they are convection/reaction dominated, and the standard Galerkin finite element methods (FEMs) are known to produce spurious oscillations, especially in the presence of sharp fronts in the solution, on boundary or interior layers. In this work, we solve such equations adaptively based on residual-based a posteriori error estimation using discontinuous Galerkin FEMs in space, in an accurate and efficient way. Theoretical a posteriori error bounds are also provided.
  Tarih : 20.05.2015
  Saat : 15:45
  Yer : FEF 404 - Seminar Room
  Dil : English