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Pointwise localized error estimates for parabolic finite element equations

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Summary.

We derive pointwise weighted error estimates for a semidiscrete finite element method applied to parabolic equations. The results extend those obtained by A.H. Schatz for stationary elliptic problems. In particular, they show that the error is more localized for higher order elements.

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  1. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    Dmitriy Leykekhman

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  1. Dmitriy Leykekhman
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Correspondence to Dmitriy Leykekhman.

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Mathematics Subject Classification (2000): 65N30

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Leykekhman, D. Pointwise localized error estimates for parabolic finite element equations. Numer. Math. 96, 583–600 (2004). https://doi.org/10.1007/s00211-003-0480-y

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  • DOI: https://doi.org/10.1007/s00211-003-0480-y

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