$$L^{\infty}$$-error estimates for mixed methods for semilinear second- order elliptic equations.(English)Zbl 0643.65057

The author derives $$L^{\infty}$$-error estimates of optimal order associated with the solution of a semilinear second-order elliptic problem by employing mixed methods using Raviart-Thomas elements.
Reviewer: M.A.Ibiejugba

MSC:

 65N15 Error bounds for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations
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