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Araya, Rodolfo; Barrios, Tomás P.; Gatica, Gabriel N.; Heuer, Norbert

A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem. (English) Zbl 0996.65114

Comput. Methods Appl. Mech. Eng. 191, No. 21-22, 2317-2336 (2002).
The authors discuss a numerical solution scheme via a mixed finite element method (FEM) for a nonlinear elliptic partial differential equation using Dirichlet boundary conditions. The theoretical foundation is validated by a number of numerical experiments.
Reviewer: Prabhat Kumar Mahanti (New Brunswick)

Cited in 6 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:

twofold saddle point problem; a posteriori error estimates; nonlinear elliptic problem; mixed finite element method; numerical experiments

Software:

BL2D-V2
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Full Text: DOI

References:

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