Remarks on a Posteriori Error Estimation for Inaccurate Finite Element Solutions

Computing (Vienna/New York)

Volumn 60, Issue 2, 1998, Pages 175-191

  Hackbusch, W ^a   Wappler, J U ^a  

^a UNIVERSITY OF KIEL   (Germany)

Author keywords

Error estimator; Iterative solution

Indexed keywords

APPROXIMATION THEORY; FINITE ELEMENT METHOD; ITERATIVE METHODS; PARAMETER ESTIMATION;

ERROR ESTIMATORS; ITERATIVE SOLUTION METHODS;

ERROR ANALYSIS;

EID: 0031678926     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02684364     Document Type: Article

References (6)

1. Babuška, I., Miller, A.: A feedback finite element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator. Comput. Methods Appl. Mech. Eng. 61, 1-40 (1987).
2. Becker, R., Johnson, C., Rannacher, R.: Adaptive error control for multigrid finite element methods. Computing 55, 271-288 (1995).
3. Dörfler, W., Rumpf, M.: An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Math. Comp. (to appear)
4. Hackbusch, W.: Multi-grid methods and applications. Berlin, Heidelberg, New York: Springer 1985.
5. Hackbusch, W.: Iterative solution of large sparse systems of equations. Berlin, Heidelberg, New York, Tokyo: Springer 1994.
6. Verfürth, R.: A review of a posteriori error estimation and adaptive mesh-refinement techniques. Stuttgart: Teubner 1996.