Optimization of parameters in SDFEM for different spaces of parameters

Petr Lukáš

Applied Mathematics and Computation, 2015, vol. 267, issue C, 711-715

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 τ from the SUPG (SDFEM) method.

Keywords: SUPG; SDFEM; Optimization; Error indicator; A posteriori error estimation; Adaptive methods; L-BFGS method (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:267:y:2015:i:c:p:711-715

DOI: 10.1016/j.amc.2014.12.084

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