Kwon, Yonghoon; Milner, Fabio A. \(L^{\infty}\)-error estimates for mixed methods for semilinear second- order elliptic equations. (English) Zbl 0643.65057 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 Cited in 1 ReviewCited in 21 Documents 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 PDF BibTeX XML Cite \textit{Y. Kwon} and \textit{F. A. Milner}, SIAM J. Numer. Anal. 25, No. 1, 46--53 (1988; Zbl 0643.65057) Full Text: DOI OpenURL