A posteriori error estimation and adaptive mesh-refinement techniques

Journal of Computational and Applied Mathematics

Volumn 50, Issue 1-3, 1994, Pages 67-83

  Verfurth R ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

A posteriori error estimators; Adaptive mesh refinement techniques; Elliptic partial differential equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; NUMERICAL METHODS;

A POSTERIORI ERROR ESTIMATOR; ADAPTIVE MESH REFINEMENT TECHNIQUE; DIRICHLET BOUNDARY CONDITION; ELLIPTIC PARTIAL DIFFERENTIAL EQUATION; ERROR ESTIMATION; NEUMANN BOUNDARY CONDITION; STANDARD ERROR ANALYSIS;

ESTIMATION;

EID: 0028423814     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(94)90290-9     Document Type: Article

References (25)

1. A local refinement finite element method for two-dimensional parabolic systems
2. An adaptive local mesh refinement method for time-dependent partial differential equations
3. An adaptive mesh-moving and local refinement method for time dependent partial differential equations
4. Analysis of the efficiency of an a posteriori error estimator for linear triangular elements
5. Error estimates for adaptive finite element computations
6. A posteriori error estimates for the finite element method
7. Some a posteriori error estimators for elliptic partial differential equations
8. A posteriori error estimates for the Stokes equations: A comparison
9. An adaptive finite-element strategy for the three-dimensional time-dependent Navier—Stokes equations
10. The finite element method for parabolic equations. I A posteriori error estimation
11. The finite element method for parabolic equations. II A posteriori error estimation and adaptive approach
12. On the asymptotic exactness of error estimators for linear triangular elements
13. On an adaptive grid refining technique for finite element approximations
14. An a posteriori error estimate and adaptive timestep control for a backward Euler discretization of a parabolic problem
15. A comparison of adaptive refinement techniques for elliptic problems
16. On a theory of mesh-refinement processes
17. Design and data structure of fully adaptive, multigrid, finite element software
18. Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
19. Automatic generation of triangulations for piecewise polynomial approximations
20. A posteriori error estimation of finite element approximations in fluid mechanics
21. A posteriori error estimators for the Stokes equations
22. A posteriori error estimators and adaptive mesh-refinement for a mixed finite element discretization of the Navier—Stokes equations
23. A posteriori error estimators for the Stokes equations II Nonconforming methods
24. A posteriori error estimators and adaptive mesh-refinement techniques for the Navier—Strokes equations