Optimization of parameters in SDFEM for different spaces of parameters

Abstract

This paper is devoted to the numerical solution of the scalar convection-diffusion equation. We present new results of the adaptive technique in finite element method based on minimizing a functional called error indicator.

Particularly, we use more different spaces (space of piecewise constant functions, piecewise linear continuous functions, and piecewise linear discontinuous functions) for the parameter tau from the SUPG (SDFEM) method.

Keywords

• SUPG
• SDFEM
• Optimization
• Error indicator
• A posteriori error estimation
• Adaptive methods
• L-BFGS method