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Mathematics of Computation

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On the rate of convergence for the approximation of nonlinear problems


Authors: J. Descloux, J. Rappaz and R. Scholz
Journal: Math. Comp. 45 (1985), 51-64
MSC: Primary 65J15; Secondary 65N30, 76D05
DOI: https://doi.org/10.1090/S0025-5718-1985-0790644-X
MathSciNet review: 790644
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Abstract: This paper shows how to obtain from estimates on linear problems error bounds in various norms for the approximation of nonlinear problems. The theory developed in this paper is applied to finite element methods for approximating the problem $ - \Delta u = \lambda {e^u}$ and the Navier-Stokes equations.


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DOI: https://doi.org/10.1090/S0025-5718-1985-0790644-X
Article copyright: © Copyright 1985 American Mathematical Society