On the rate of convergence for the approximation of nonlinear problems

Descloux, J.; Rappaz, J.; Scholz, R.

doi:10.1090/S0025-5718-1985-0790644-X

On the rate of convergence for the approximation of nonlinear problems
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by J. Descloux, J. Rappaz and R. Scholz PDF

Math. Comp. 45 (1985), 51-64 Request permission

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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