Convergence of finite element methods for nonlinear convective problems

• ID: 2660, RIV: 10190679
• ISSN: neuvedeno, ISBN: 978-80-86407-34-0
• zdroj: SNA’13, Seminar on Numerical Analysis
• klíčová slova: Finite element method; error estimates; nonlinear convective problems
• autoři: Václav Kučera
• autoři z KNM: Kučera Václav

Abstrakt

In this short note, we give an overview of the tools needed to estimate the error of finite element methods applied to nonlinear convective problems with smooth solutions. These results along with their generalizations to fully discrete explicit and implicit schemes represent a new, promising technique first outlined by [5] and extended in [4].