Skip to main content
Log in

Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Abstract.

Stability and analyticity estimates in maximum-norm are shown for spatially discrete finite element approximations based on simplicial Lagrange elements for the model heat equation with Dirichlet boundary conditions. The bounds are logarithm free and valid in arbitrary dimension and for arbitrary polynomial degree. The work continues an earlier study by Schatz et al. [5] in which Neumann boundary conditions were considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Received November 1998 / Revised version received August 11, 1999 / Published online July 12, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thomée, V., Wahlbin, L. Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions. Numer. Math. 87, 373–389 (2000). https://doi.org/10.1007/s002110000184

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002110000184

Navigation