Title of article
A holomorphic semigroup approach to the lumped mass finite element method
Author/Authors
Saito، نويسنده , , Norikazu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
15
From page
71
To page
85
Abstract
The lumped mass finite element approximation for a linear homogeneous parabolic equation is considered. We deal with a semidiscrete (in the space variable) scheme and derive L2 and H1 error estimates of optimal order with nonsmooth initial data. Our main tool is the holomorphic (analytic) semigroup theory.
Keywords
Holomorphic semigroup , Lumped mass approximation , Finite element method
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2004
Journal title
Journal of Computational and Applied Mathematics
Record number
1552637
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