Space-time finite elements numerical solutions of Burgers Problems

Abstract

A finite-element numerical method to solve a weak formulation of quasi-linear parabolic problems on space-time domain governed by Burgers equation is given. Stability and errors estimates theorems for the numerical solution are proved for smooth initial conditions and numerical examples are presented.

Keywords

• Quasi linear parabolic problems
• Burgers equation
• Weak formulation
• Numerical solution
• Finite elements
• Space-time formulation