MIXED FINITE ELEMENT APPROXIMATIONS OF PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH INITIAL DATA Academic Article uri icon

abstract

  • We analyze the semidiscrete mixed .nite element methods for parabolic integrodi .erential equations that arise in the modeling of nonlocal reactive .ows in porous media. A priori L2-error estimates for pressure and velocity are obtained with both smooth and nonsmooth initial data. More precisely, a mixed Ritz-Volterra projection, introduced earlier by Ewing et al. in [SIAM J. Numer. Anal., 40 (2002), pp. 1538-1560], is used to derive optimal L2-error estimates for problems with initial data in H2 H1 0 . In addition, for homogeneous equations we derive optimal L2-errorestimates for initial data just in L2. Here, we use an elementary energy technique and duality argument. 2009 Society for Industrial and Applied Physics.

published proceedings

  • SIAM JOURNAL ON NUMERICAL ANALYSIS

author list (cited authors)

  • Sinha, R. K., Ewing, R. E., & Lazarov, R. D.

citation count

  • 24

complete list of authors

  • Sinha, Rajen K||Ewing, Richard E||Lazarov, Raytcho D

publication date

  • January 1, 2009 11:11 AM