Adaptive Computation of Parameters in Stabilized Methods for Convection-Diffusion Problems

V. John () and P. Knobloch ()
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V. John: Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
P. Knobloch: Charles University, Department of Numerical Mathematics,Faculty of Mathematics and Physics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 275-283 from Springer

Abstract: Abstract Stabilized finite element methods for convection-dominated problems contain parameters whose optimal choice is usually not known.This paper presents techniques for computing stabilization parameters in an adaptive way by minimizing a target functional characterizing the quality of the approximate solution.This leads to a constrained nonlinear optimization problem.Numerical results obtained for various target functionals are presented.They demonstrate that a posteriori optimization of parameters can significantly improve the quality of solutions obtained using stabilized methods.

Keywords: Stabilization Parameter; Adjoint Problem; Finite Element Space; Spurious Oscillation; Interior Layer (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_30

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DOI: 10.1007/978-3-642-33134-3_30

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