4 papers
A stabilized scheme satisfying the discrete maximum principle for a time fractional convection-diffusion-reaction equation
Christos Pervolianakis
We study a time fractional convection-diffusion-reaction equation in a bounded domain . A stabilized numerical scheme satisfying a discrete maximum principle…
Numerical analysis of a stabilized scheme for an optimal control problem governed by a parabolic convection--diffusion equation
Christos Pervolianakis
We consider an optimal control problem on a bounded domain governed by a parabolic convection--diffusion--reaction equation with pointwise control constrain…
Error analysis of an Algebraic Flux Correction Scheme for a nonlinear Scalar Conservation Law Using SSP-RK2
Christos Pervolianakis
We consider a scalar conservation law with linear and nonlinear flux function on a bounded domain with Lipschitz boundary We discretize the spatial va…
Error analysis of a backward Euler positive preserving stabilized scheme for a Chemotaxis system
Panagiotis Chatzipantelidis, Christos Pervolianakis
For a Keller-Segel model for chemotaxis in two spatial dimensions we consider a modification of a positivity preserving fully discrete scheme using a local extremum diminishing flu…