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

Journal of Computational and Applied Mathematics

Volumn 132, Issue 2, 2001, Pages 371-385

  Gatica, Gabriel N ^a   Heuer, Norbert ^b  

^a UNIVERSITY OF CONCEPCIÓN   (Chile)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

Inf sup conditions; Minimum residual method; Mixed finite elements; Raviart Thomas spaces

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

LINEAR SECOND ORDER ELLIPTIC EQUATIONS; MINIMUM RESIDUAL METHOD;

LINEAR EQUATIONS;

FINITE ELEMENT METHOD;

EID: 0035879360     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00440-4     Document Type: Article

References (24)

1. Iterative methods for solving operator equations with a spectrum contained in several intervals
2. Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
3. A taxonomy for conjugate gradient methods
4. The modified conjugate residual method for partial differential equations
5. Expanded mixed finite element methods for linear second-order elliptic problems
6. Expanded mixed finite element methods for quasilinear second-order elliptic problems
7. A new mixed finite element method for the Timoshenko beam problem
8. Solvability and Galerkin approximations of a class of nonlinear operator equations
9. Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems
10. A dual-dual mixed formulation for nonlinear exterior transmission problems
11. Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
12. Coupling of mixed finite elements and boundary elements for a hyperelastic interface problem
13. Preconditioned minimum residual iteration for the h-p version of the coupled FEM/BEM with quasi-uniform meshes
14. Preconditioners for the p-version of the Galerkin method for a coupled finite element/boundary element system
15. On the coupling of boundary integral and mixed finite element methods
16. Solutions of sparse indefinite systems of linear equations
17. Mixed and hybrid methods
18. Convergence of preconditioned minimum residual iteration for coupled finite element/ boundary element computations
19. The convergence rate of the minimum residual method for the stokes problem
20. Fast iterative solutions of stabilised Stokes systems, part I: Using simple diagonal preconditioners