Finite element approximation of a problem with a nonlinear Newton boundary condition |
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Authors: | Miloslav Feistauer Karel Najzar |
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Affiliation: | (1) Faculty of Mathematics and Physics, Charles University Prague, Malostranské nám. 25, 118 00 Praha 1, Czech Republic, e-mail: feist@ms.mff.cuni.cz , CZ |
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Abstract: | The paper is concerned with the study of an elliptic boundary value problem with a nonlinear Newton boundary condition. The existence and uniqueness of the solution of the continuous problem is established with the aid of the monotone operator theory. The main attention is paid to the investigation of the finite element approximation using numerical integration for the computation of nonlinear boundary integrals. The solvability of the discrete finite element problem is proved and the convergence of the approximate solutions to the exact one is analysed. Received April 15, 1996 / Revised version received November 22, 1996 |
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Keywords: | Mathematics Subject Classification (1991): 65N30 65N15 65N12 |
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