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 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