3 papers
math.NA2022
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…
math.NA2017
Virtual Element Method for Quasilinear Elliptic Problems
Andrea Cangiani, Panagiotis Chatzipantelidis, Ganesh Diwan +1
We present a Virtual Element Method (VEM) for the solution of Dirichlet problems for the quasilinear equation with essential boundary conditions…
math.NA2012
Some error estimates for the finite volume element method for a parabolic problem
P. Chatzipantelidis, R. D. Lazarov, V. Thomee
We study spatially semidiscrete and fully discrete finite volume element methods for the homogeneous heat equation with homogeneous Dirichlet boundary conditions and derive error e…