A posteriori finite element bounds for output functionals of discontinuous Galerkin discretizations of parabolic problems

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 26-27, 2001, Pages 3401-3411

  Machiels, L ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE MATERIALS; FINITE ELEMENT METHOD; GALERKIN METHODS; HEAT CONDUCTION;

NEUMANN-SUBPROBLEM;

MECHANICS;

FINITE ELEMENT METHOD;

EID: 0035896048     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00274-7     Document Type: Article

References (15)

1. A posteriori error estimation in finite element analysis
2. Some a posteriori error estimators for elliptic partial differential equations
3. A feedback approach to error control in finite element method: Basic analysis and examples
4. Adaptive finite element methods for parabolic problems. I: A linear model problem
5. Error estimation procedures in the finite element method and applications
6. A posteriori finite element output bounds of the incompressible Navier-Stokes equations: Application to a natural convection problem
7. A general framework for finite element a posteriori error control: Application to linear and non-linear convection-dominated problems
8. Output bound approximations for partial differential equations; application to the incompressible Navier-Stokes equations
9. A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
10. A hierarchical duality approach to bounds for the outputs of partial differential equation
11. A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
12. Bounds for linear-functional outputs of coercive partial differential equations: Local indictors and adaptive refinement