A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations

作者：John Volker^*; Novo Julia

来源：Computer Methods in Applied Mechanics and Engineering, 2013, 255: 289-305.

DOI：10.1016/j.cma.2012.11.019

• Stationary convection-diffusion equations
• SUPG finite element method
• Error in SUPG norm
• A posteriori error estimator
• Adaptive grid refinement

A robust residual-based a posteriori estimator is proposed for the SUPG finite element method applied to stationary convection-diffusion-reaction equations. The error in the natural SUPG norm is estimated. The main concern of this paper is the consideration of the convection-dominated regime. A global upper bound and a local lower bound for the error are derived, where the global upper estimate relies on some hypotheses. Numerical studies demonstrate the robustness of the estimator and the fulfillment of the hypotheses. A comparison to other residual-based estimators with respect to the adaptive grid refinement is also provided.

• 出版日期2013-3-1