Quasi-optimality of the SUPG method for the one-dimensional advection-diffusion problem (Articolo in rivista)

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  • Quasi-optimality of the SUPG method for the one-dimensional advection-diffusion problem (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Sangalli, G. (1) (2003)
    Quasi-optimality of the SUPG method for the one-dimensional advection-diffusion problem
    in SIAM journal on numerical analysis (Print)
    (literal)
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  • Sangalli, G. (1) (literal)
Pagina inizio
  • 1528 (literal)
Pagina fine
  • 1542 (literal)
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  • CIT articolo = 1 ; Impact Factor rivista: 1.076 (literal)
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  • 41 (literal)
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  • This work is part of a theoretical analysis of the mathematical properties of the advection-diffusion problem (in the advection-dominated regime), and of the properties of its numerical approximations. The eventual goal of this analysis is to obtain robust estimates (stability, a-priori, a-posteriori), i.e., estimates truly independent of the coefficients of the operator. (literal)
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  • ISI Web of Science (WOS) (literal)
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  • (1) IMATI-CNR (literal)
Titolo
  • Quasi-optimality of the SUPG method for the one-dimensional advection-diffusion problem (literal)
Abstract
  • In this paper we propose quasi-optimal error estimates, in various norms, for the Streamline-Upwind Petrov-Galerkin (SUPG) method applied to the linear one-dimensional advection-diffusion problem. We follow the classical argument due to Babuska and Brezzi, therefore the goal of this work is the proof of the inf-sup and of the continuity conditions for the bilinear stabilized variational form, with respect to suitable norms. These norms are suggested by our previous work, in which we analyze the continuous multi-dimensional advection-diffusion operator. We obtain these results by means of functional spaces interpolation. (literal)
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