Estimating algebraic error using flux reconstructions

• Date: 11. 11. 2021
• Time: 14:00 - 15:30
• Address:
  Sokolovská 83, Praha
• Room: K3
• Speaker: Jan Papež

We will present error estimators that use a unified framework to bound from above the total and the algebraic errors in numerical solution of PDEs. The estimators involve no unknown or uncomputable factors and allow to estimate the local distribution of the errors in the solution domain. They are based on so-called quasi-equilibrated flux reconstruction and we will detail its construction. The numerical results will be presented to demonstrate very good behaviour of the estimator. On the other hand, we admit that the flux reconstruction is a complex procedure and the evaluation of the error estimator can be costly. We will therefore present also few ideas how to reduce the evaluation cost.