Stability of Discrete Stokes Operators in Fractional Sobolev Spaces Academic Article uri icon

abstract

  • Using a general approximation setting having the generic properties of finite-elements, we prove uniform boundedness and stability estimates on the discrete Stokes operator in Sobolev spaces with fractional exponents. As an application, we construct approximations for the time-dependent Stokes equations with a source term in L p (0, T; L q ()) and prove uniform estimates on the time derivative and discrete Laplacian of the discrete velocity that are similar to those in Sohr and von Wahl [20]. 2007 Birkhaueser.

published proceedings

  • Journal of Mathematical Fluid Mechanics

author list (cited authors)

  • Guermond, J., & Pasciak, J. E.

citation count

  • 6

complete list of authors

  • Guermond, Jean-Luc||Pasciak, Joseph E

publication date

  • November 2008