Some error estimates for the lumped mass finite element method for a parabolic problem
Journal article, 2012

We study the spatially semidiscrete lumped mass method for the model homogeneous heat equation with homogeneous Dirichlet boundary conditions. Improving earlier results we show that known optimal order smooth initial data error estimates for the standard Galerkin method carry over to the lumped mass method whereas nonsmooth initial data estimates require special assumptions on the triangulation. We also discuss the application to time discretization by the backward Euler and Crank-Nicolson methods.


parabolic partial differential equations


Lumped mass method

error estimates

initial data


P Chatzipantelidis

R. D. Lazarov

Vidar Thomee

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Mathematics of Computation

0025-5718 (ISSN) 1088-6842 (eISSN)

Vol. 81 277 1-20

Subject Categories

Computational Mathematics

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