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

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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.

Original language	English
Pages (from-to)	165-188
Journal	Numerische Mathematik
Volume	78
Issue number	2
DOIs	https://doi.org/10.1007/s002110050309
Publication status	Published - 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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AU - John, V.

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AU - Tobiska, L.

PY - 1997

Y1 - 1997

N2 - 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.

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.

U2 - 10.1007/s002110050309

DO - 10.1007/s002110050309

M3 - Article

SN - 0029-599X

VL - 78

SP - 165

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JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 2

ER -

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

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