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Refining the submesh strategy in the two‐level finite element method: application to the advection–diffusion equation
Author(s) -
Franca Leopoldo P.,
Hwang FengNan
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.219
Subject(s) - advection , finite element method , residual , diffusion , bubble , refining (metallurgy) , mathematics , computer science , convection–diffusion equation , time stepping , mathematical optimization , algorithm , parallel computing , mathematical analysis , physics , materials science , thermodynamics , metallurgy
We introduce a new submesh strategy for the two‐level finite element method. The numerical results show that the new submesh is able to better capture the boundary layer which is caused by the choice of bubble functions. The effect of an improved approximation of the residual free bubbles is studied for the advective–diffusive equation. Copyright © 2002 John Wiley & Sons, Ltd.