A Posteriori Error Estimates for Parabolic Variational Inequalities

We study a posteriori error estimates in the energy norm for some parabolic obstacle problems discretized with a Euler implicit time scheme combined with a finite element spatial approximation. We discuss the reliability and efficiency of the error indicators, as well as their localization properties. Apart from the obstacle resolution, the error indicators vanish in the so-called full contact set. The case when the obstacle is piecewise affine is studied before the general case. Numerical examples are given.

• Type: Journal
• Year: 2008
• Where: JSCIC
• Authors: Yves Achdou, Frédéric Hecht, David Pommier
• Keywords: Euler Implicit Time, JSCIC 2008, Parabolic Obstacle Problems, Posteriori Error