J Austral Math Soc Ser B 35 pp87--102, 1993.

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

Amiya K. Pani

(Received 22 July 1990; revised 17 July 1992)

Abstract

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

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Author

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

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