A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part I

作者：John Volker^*; Knobloch Petr; Savescu Simona B

来源：Computer Methods in Applied Mechanics and Engineering, 2011, 200(41-44): 2916-2929.

DOI：10.1016/j.cma.2011.04.016

• Stabilized finite element methods
• Parameter optimization by minimizing a target functional
• SUPG method

Stabilized finite element methods for convection-dominated problems require the choice of appropriate stabilization parameters. From numerical analysis, often only their asymptotic values are known. This paper presents a general framework for optimizing stabilization parameters with respect to the minimization of a target functional. Exemplarily, this framework is applied to the SUPG finite element method and the minimization of a residual-based error estimator, an error indicator, and a functional including the crosswind derivative of the computed solution. Benefits of the basic approach are demonstrated by means of numerical results.

• 出版日期2011