Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions |
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| Authors: | V Thomée LB Wahlbin |
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| Institution: | Department of Mathematics, Chalmers University of Technology, 412 96 G?teborg, Sweden; e-mail: thomee@math.chalmers.se, SE
Department of Mathematics, Cornell University, Ithaca, NY 14853, USA; e-mail: wahlbin@math.cornell.edu, US
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| 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.
Received November 1998 / Revised version received August 11, 1999 / Published online July 12, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 65N30 |
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