Numerische Mathematik

, Volume 41, Issue 3, pp 345–371

Maximum-norm stability and error estimates in Galerkin methods for parabolic equations in one space variable

  • Vidar Thomée
  • Lars B. Wahlbin
Article

DOI: 10.1007/BF01418330

Cite this article as:
Thomée, V. & Wahlbin, L.B. Numer. Math. (1983) 41: 345. doi:10.1007/BF01418330

Summary

Maximum-norm stability and error estimates of best approximation and nonsmooth data types are derived for the approximate solution of a parabolic equation in one space variable, using the continuous in time Galerkin method based on piecewise polynomial approximating functions on a quasi-uniform mesh.

Subject Classifications

AMS(MOS): 65N30CR: 5.17

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Vidar Thomée
    • 1
    • 2
  • Lars B. Wahlbin
    • 1
    • 2
  1. 1.Department of MathematicsChalmers University of TechnologyGöteborgSweden
  2. 2.Department of MathematicsCornell UniversityIthacaUSA