Numerische Mathematik

, Volume 57, Issue 1, pp 179–203 | Cite as

Fully discrete Galerkin approximations of parabolic boundary-value problems with nonsmooth boundary data

  • G. Choudury


In this paper we study the convergence properties of a fully discrete Galerkin approximation with a backwark Euler time discretization scheme. An approach based on semigroup theory is used to deal with the nonsmooth Dirichlet boundary data which cannot be handled by standard techniques. This approach gives rise to optimal rates of convergence inLp[O,T;L2(Ω)] norms for boundary conditions inLp[O,T;L2(Г)], 1≦p≦∞.

Subject Classification

AMS(MOS):65N30 CR:G1.8 


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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • G. Choudury
    • 1
  1. 1.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA

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