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Error Estimates of a FEM with Lumping for Parabolic PDEs

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L

2-norm. This well-known FEM is given by the use of the vertical line method and conforming linear finite elements on a triangulation. The main result of the paper are new estimates in the L 2-norm for the additional error term originated by lumping. Using these ones, for the FEM with lumping we can apply directly the proof technique of error estimates known for conforming FEMs.

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  1. Fakultät Mathematik und Naturwissenschaften Institut für Numerische Mathematik Mommsenstraße 13 D-01062 Dresden Germany e-mail: vanselow@math.tu-dresden.de, , , , , , DE

    R. Vanselow

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  1. R. Vanselow
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Received May 17, 2001; revised November 2, 2001 Published online February 18, 2002

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Vanselow, R. Error Estimates of a FEM with Lumping for Parabolic PDEs. Computing 68, 131–141 (2002). https://doi.org/10.1007/s00607-001-1439-4

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  • DOI: https://doi.org/10.1007/s00607-001-1439-4