More General Parabolic Equations

  • Vidar Thomée
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 25)


In this chapter we shall briefly discuss the generalization of our previous error analysis to initialboundary value problems for more general parabolic equations, in which we allow the elliptic operator to have coeffiicients depending on both x and t, to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our considerations to a finite interval in time.


Dirichlet Problem Parabolic Problem Continuous Piecewise Linear Function Standard Galerkin Method Conormal Derivative 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Vidar Thomée
    • 1
  1. 1.Department of MathematicsChalmers University of TechnologyGöteborgSweden

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