A posteriori error estimation of finite element approximations in fluid mechanics

Computer Methods in Applied Mechanics and Engineering

Volumn 78, Issue 2, 1990, Pages 201-242

  Strouboulis, T ^a   Oden, J T ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--FINITE ELEMENT METHOD;

CONVECTION-DIFFUSION PROBLEMS; DIFFUSION PROBLEMS; DISCONTINUOUS GALERKIN METHOD; OPERATOR SPLITTING METHOD; RESIDUAL-TYPE METHOD;

FLUID MECHANICS;

EID: 0025208435     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(90)90101-Q     Document Type: Article

References (31)

1. A posteriori error estimates for the finite element method
2. Error estimates for adaptive finite element computations
3. Reliable error estimation and mesh adaptation for the finite element method
4. Feedback, adaptivity, and a posteriori error estimates in finite elements: aims, theory, and experience
5. An error analysis of the finite element method applied to convection diffusion problems
6. The finite element method for parabolic equation. I. A posteriori error estimation
7. The finite element method for parabolic equations. II. A posteriori error estimation
8. An adaptive method of lines with error control for parabolic equations of reaction-diffusion type
9. An analysis of viscous splitting and adaptivity for steady-state convection-diffusion problems
10. A posteriori error estimation in a finite element method for parabolic differential equations
11. A posteriori error estimates for linear parabolic problems and related automatic time step control
12. Adaptivity and error estimation for the finite element method applied to convection-diffusion problems
13. An adaptive characteristic Petrov-Galerkin method for convection dominated linear and nonlinear parabolic problems in two space dimensions
14. An adaptive characteristic Petrov-Galerkin methods for convection-dominated linear and nonlinear parabolic problems in one space variable
15. Adaptive methods for problems in solid and fluid mechanics
16. Analysis of a local a posteriori error estimate for elliptic equations
17. Some a posteriori estimates for elliptic partial differential equations
18. A posteriori estimation of the error in finite element approximations of convection-dominated problems
19. Toward a universal h−p adaptive finite element strategy. Part 2, A posteriori error estimates
20. Advances in adaptive improvement: a survey of adaptive methods in computational mechanics
21. Toward a universal h−p finite element strategy; Part 2, a posteriori error estimation
22. On a finite element method for solving the neutron transport equation
23. Second-order finite element approximations and a posterior error estimation for two-dimensional parabolic systems
24. The h,p and h,p versions of the finite element method in 1 dimension. Part 1. The error analysis of the p-version
25. Paradigmatic error calculations for adaptive finite element approximations of convection-dominated flows
26. Adaptive finite element methods for flow problems in regions with moving boundaries