A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem
type: Item
instance of: scholarly article
title: A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem
zbMATH Open document ID: 0996.65114
DOI: 10.1016/S0045-7825(01)00414-5
author: Tomás P. Barrios
author: Gabriel N. Gatica
author: Norbert Heuer
author: Rodolfo Araya
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-06-16T00:00:00Z
review text: 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.
reviewed by: Prabhat Kumar Mahanti
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1756432
zbMATH Keywords: twofold saddle point problem
zbMATH Keywords: a posteriori error estimates
zbMATH Keywords: nonlinear elliptic problem
zbMATH Keywords: mixed finite element method
zbMATH Keywords: numerical experiments
describes a project that uses: BL2D-V2
MaRDI profile type: Publication
cites work: Hierarchical a posteriori error estimator. Application to mixed finite elements
cites work: A unified approach to a posteriori error estimation using element residual methods
cites work: A posteriori error estimation in finite element analysis
cites work: A Posteriori Error Estimators for the Stokes and Oseen Equations
cites work: Error estimators for a mixed method
cites work: A Posteriori Error Estimates Based on Hierarchical Bases
cites work: Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
cites work: A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a posteriori error estimate
cites work: A Posteriori Error Estimators for the Raviart–Thomas Element
cites work: A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems
cites work: Q4265877
cites work: Q4529158
cites work: A posteriori error estimate for the mixed finite element method
cites work: On the numerical analysis of nonlinear twofold saddle point problems
cites work: An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics
cites work: A dual-dual mixed formulation for nonlinear exterior transmission problems
cites work: Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
cites work: An analysis of a mixed finite element method for the Navier-Stokes equations
cites work: Nonlinear Field Calculations with Multigrid-Newton Methods
cites work: Analysis of a Fully Discrete Finite Element Method for a Nonlinear Magnetic Field Problem
cites work: An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
cites work: A posteriori error estimators for the Stokes equations
cites work: Q4886148
description: scientific article; zbMATH DE number 1756432