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

Kwon, Yonghoon; Milner, Fabio A.

SIAM J. Numer. Anal. 25, No. 1, 46-53 (1988).

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

Keywords:

error estimates of optimal order; semilinear second-order elliptic problem; mixed methods; Raviart-Thomas elements