Some a posteriori error estimators for elliptic partial differential equations

Mathematics of Computation

Volumn 44, Issue 170, 1985, Pages 283-301

  Bank, R E ^a   Weiser, A ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966215690     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1985-0777265-X     Document Type: Article

References (15)

1. S. Agmon, Lectures on Elliptic Boundary Value Problems. Van Nostrand, New York, 1965.
2. I. BabuSka, M. Luskin, "An adaptive time discretization procedure for parabolic problems, " in Proc. Fourth IMACS Internat. Sympos on Computer Methods for Partial Differential Equations, Lehigh University, Bethlehem, Pennsylvania, 1981, p. 5-8.
3. I. BabuSka, A. Miller, A Posteriori Error Estimates and Adaptive Techniques for the Finite Element Method, Technical Report BN-968, Institute for Physical Science and Technology, University of Maryland, 1981.
4. I. BabuSka, W. C. Rheinboldt, "A posteriori error analysis of finite element solutions for one-dimensional problems, " SIAM J. Numer. Anal., v. 18, 1981, p. 565-589.
5. I. BabuSka, W. C. Rheinboldt, "A posteriori error estimates for the finite element method, " Internat. J. Numer. Methods Engrg., v. 12, 1978, p. 1597-1615.
6. I. BabuSka, W. C. Rheinboldt, "Analysis of optimal finite-element meshes in, " Math. Comp., v. 33, 1979, p. 435-463.
7. I. BabuSka, W. C. Rheinboldt, "Error estimates for adaptive finite element computations, " SIAM J. Numer. Anal., v. 15, 1978, 736-754.
8. I. BabuSka, W. C. Rheinboldt, "On the reliability and optimality of the finite element method, " Comput. Structures, v. 10, 1979, 87-94.
9. I. BabuSka, W. C. Rheinboldt, "Reliable error estimation and mesh adaptation for the finite element method, " in Computational Methods in Nonlinear Mechanics. North-Holland, New York, 1980, p. 67-108.
10. R. E. Bank, PLTMG Users Guide, version. Technical Report, Department of Mathematics, University of California, San Diego, 1982.
11. R. E. Bank, T. F. Dupont, Analysis of a Two-Level Scheme for Solving Finite Element Equations, Technical Report, University of Texas Center for Numerical Analysis, 1980.
12. R. E. Bank, A. H. Sherman, "A multi-level iterative method for solving finite element equations, " in Proc. Fifth Symposium on Reservoir Simulation, Society of Petroleum Engineers of AIME, Dallas, 1979, p. 117-126.
13. P. Percell, M. F. Wheeler, "A local residual finite element procedure for elliptic equations, " SIAMJ. Numer. Anal., v. 15; 1978, p. 705-714.
14. G. Strang, G. J. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N.J., 1973.
15. A. Weiser, Local-Mesh, Local-Order, Adaptive Finite Element Methods With A Posteriori Error Estimators for Elliptic Partial Differential Equations, Technical Report, Computer Science Department, Yale University, 213 1981.