Error Estimates for Semidiscrete Finite Element Approximations of the Stokes Equations Under Minimal Regularity Assumptions

Authors:
L. S. Hou
Affiliations:
Department of Mathematics, Iowa State University, Ames, Iowa 50011/ hou@math.iastate.edu
Venue:
Journal of Scientific Computing
Year:
2002

Citing 5
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Abstract

Semidiscrete (spatially discrete) finite element approximations of the Stokes equations are studied in this paper. Properties of L2, H1 and H−1 projections onto discretely divergence-free spaces are discussed and error estimates are derived under minimal regularity assumptions on the solution.