Open AccessA multidomain spectral collocation method for the Stokes problem
Author(s) -
Giovanni Sacchi Landriani,
Hervé Vandeven
Publication year - 1990
Publication title -
numerische mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.214
H-Index - 90
eISSN - 0945-3245
pISSN - 0029-599X
DOI - 10.1007/bf01385635
Subject(s) - mathematics , collocation (remote sensing) , vector field , stokes problem , divergence (linguistics) , spectral method , mathematical analysis , numerical analysis , geometry , physics , finite element method , computer science , linguistics , philosophy , machine learning , thermodynamics
We propose a multidomain spectral collocation scheme for the approximation of the two-dimensional Stokes problem. We show that the discrete velocity vector field is exactly divergence-free and we prove error estimates both for the velocity and the pressure.
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