Finite Element Analysis of a Nonlinear Elliptic Problem with a Pure Radiation Condition

Michael Křížek, Liping Liu and Pekka Neittaanmäki

A chapter in Applied Nonlinear Analysis, 2002, pp 271-280 from Springer

Abstract: Abstract We deal with a second order elliptic problem in a bounded plane domain with a pure Stefan-Boltzmann condition on the whole boundary. We prove that the finite element method converges in the H1-norm without any additional smoothness assumptions on the true solution.

Keywords: Finite elements; nonlinear boundary conditions; error estimates (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_19

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DOI: 10.1007/0-306-47096-9_19

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