2011-06-01, English, Article, Journal or magazine article edition: A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS. Bernardi, Christine; Hecht, FrEDERic; VerfArth, RADiger

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Physical Description
  • Magazine/​Journal article
Published
  • World Scientific Publishing Co. Pte Ltd., 2011 June
Language
  • English

Edition details

Title
  • A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS.
Appears In
  • Mathematical Models and Methods in Applied Sciences, v.21, no.06, 2011 June, p.1355 (ISSN: 0218-2025)
Author
  • Bernardi, Christine
  • Hecht, FrEDERic
  • VerfArth, RADiger
Published
  • World Scientific Publishing Co. Pte Ltd., 2011 June
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http:/​/​dx.doi.org/​10.1142/​S0218202511005337 Byline: CHRISTINE BERNARDI, FREDERIC HECHT, RADIGER VERFARTH We consider a two- or three-dimensional time-dependent diffusion--convection--reaction problem and its discretization by the method of characteristics and standard finite elements. We perform the a posteriori error analysis of this discretization and prove optimal error estimates, which lead to an efficient adaptivity strategy both for the time step and the spatial mesh. The estimates are robust with respect to the ratios of the diffusion to the reaction or convection. Some numerical experiments support the theoretical results.
Terms of Use
  • COPYRIGHT 2011 World Scientific Publishing Co. Pte Ltd.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 462545086
  • 10.1142/​S0218202511005337

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