Abstract
Semidiscrete (spatially discrete) finite element approximations of the Stokes equations are studied in this paper. Properties of L 2, H 1 and H −1 projections onto discretely divergence-free spaces are discussed and error estimates are derived under minimal regularity assumptions on the solution.
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Hou, L.S. Error Estimates for Semidiscrete Finite Element Approximations of the Stokes Equations Under Minimal Regularity Assumptions. Journal of Scientific Computing 16, 287–317 (2001). https://doi.org/10.1023/A:1012869611793
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DOI: https://doi.org/10.1023/A:1012869611793