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A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions

Published online by Cambridge University Press:  17 February 2009

Amiya K. Pani
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay-400076, India.
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Abstract

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A finite element Galerkin method for a diffusion equation with constrained energy and nonlinear boundary condition is analysed and optimal error estimates in L2 and L∞-norms are derived. These results improve upon previously derived estimates by Cannon et al. [4].

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1993