Optimization of parameters in SDFEM for different spaces of parameters

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摘要

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.

论文关键词:SUPG,SDFEM,Optimization,Error indicator,A posteriori error estimation,Adaptive methods,L-BFGS method

论文评审过程:Available online 9 January 2015, Version of Record 20 September 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.084