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A posteriori error estimate of approximate solutions to a mildly nonlinear elliptic boundary value problem. (English) Zbl 0709.65074

The author presents a theory on a posteriori error estimate of a mildly nonlinear elliptic boundary value problem with Dirichlet boundary condition. Convergence of the error estimate to the true error is proved. No numerical experiments are performed.
Reviewer: P.K.Mahanti

MSC:

65N15 Error bounds for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations