An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method

DOI10.1016/S0377-0427(00)00440-4zbMath1014.65118OpenAlexW2071069288MaRDI QIDQ5946111

Gabriel N. Gatica, Norbert Heuer

Publication date: 25 June 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00440-4

zbMATH Keywords

Dirichlet problemnumerical examplespreconditioningerror boundsmixed finite elementsinf-sup conditionGalerkin schememinimum residual methodRaviart-Thomas spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (16)

Domain decomposition and expanded mixed method for parabolic partial differential equations ⋮ Convergence analysis of hybrid expanded mixed finite element method for elliptic equations ⋮ A multiscale domain decomposition approach for parabolic equations using expanded mixed method ⋮ Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems ⋮ A priori error estimates of multiblock mortar expanded mixed method for elliptic problems ⋮ Eigenvalue bounds for saddle-point systems with singular leading blocks ⋮ Expanded mixed finite element method for second order hyperbolic equations ⋮ Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems ⋮ On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multi\-pliers. ⋮ A dual-dual mixed formulation for nonlinear exterior transmission problems ⋮ An a posteriori error estimate for the local discontinuous Galerkin method applied to linear and nonlinear diffusion problems ⋮ A mixed-FEM formulation for nonlinear incompressible elasticity in the plane ⋮ A FULLY DISCRETE GALERKIN SCHEME FOR A TWO-FOLD SADDLE POINT FORMULATION OF AN EXTERIOR NONLINEAR PROBLEM^* ⋮ Multiscale mortar expanded mixed discretization of nonlinear elliptic problems ⋮ A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations ⋮ Conjugate gradient method for dual-dual mixed formulations

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