Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems

V. John; J.M.L. Maubach; L. Tobiska

doi:10.1007/s002110050309

Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems

V. John
, J.M.L. Maubach
, L. Tobiska

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

66 Citaten (Scopus)

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Samenvatting

We analyze nonconforming finite element approximations of streamline-diffusion type for solving convection-diffusion problems. Both the theoretical and numerical investigations show that additional jump terms have to be added in the nonconforming case in order to get the same order of convergence in L as in the conforming case for convection dominated problems. A rigorous error analysis supported by numerical experiments is given.

Originele taal-2	Engels
Pagina's (van-tot)	165-188
Tijdschrift	Numerische Mathematik
Volume	78
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1007/s002110050309
Status	Gepubliceerd - 1997

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title = "Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems",

abstract = "We analyze nonconforming finite element approximations of streamline-diffusion type for solving convection-diffusion problems. Both the theoretical and numerical investigations show that additional jump terms have to be added in the nonconforming case in order to get the same order of convergence in L as in the conforming case for convection dominated problems. A rigorous error analysis supported by numerical experiments is given.",

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AB - We analyze nonconforming finite element approximations of streamline-diffusion type for solving convection-diffusion problems. Both the theoretical and numerical investigations show that additional jump terms have to be added in the nonconforming case in order to get the same order of convergence in L as in the conforming case for convection dominated problems. A rigorous error analysis supported by numerical experiments is given.

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Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems

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