Approximation properties of the h-p version of the finite element method

Computer Methods in Applied Mechanics and Engineering

Volumn 133, Issue 3-4, 1996, Pages 319-346

  Babuska I ^a   Guo, B Q ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; THEOREM PROVING;

APPROXIMATION PROPERTIES;

FINITE ELEMENT METHOD;

EID: 0030189240     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00946-9     Document Type: Article

References (17)

1. I. Babuška and B.Q. Guo, The theory and practice of the h-p version of the finite element method, in: R. Vichnevesky and R.S. Stepleman, eds., Proceedings of the Sixth IMACS International Symposium on Computer Methods for Partial Differential Equations (IMACS, 1987), pp. 241-247.
2. I. Babuška and M. Suri, The p and h-p versions of the finite element method, basic principles and properties, SIAM Rev. 36 (1994) 578-632.
3. I. Babuška and B.Q. Guo, The h, p and h-p version of the finite element method; basic theory and applications, Adv. Engrg. Software (1992) 159-174.
4. I. Babuška and B.Q. Guo, Regularity of the solutions of elliptic problems with piecewise analytic data. Part I. Boundary value problems for linear elliptic equations of second order, SIAM J. Math. Anal. 19 (1988) 172-203.
5. I. Babuška and B.Q. Guo, Regularity of the solutions of elliptic problems with piecewise analytic data. Part II. The trace spaces and applications to the boundary value problem with non-homogeneous boundary conditions, SIAM J. Math. Anal. 20 (1989) 765-781.
6. B.Q. Guo and I. Babuška, On the regularity of elasticity problems with piecewise analytic data, Adv. Appl. Math. 14 (1993) 307-347.
7. I. Babuška, B.Q. Guo and J.E. Osborn, Regularity and numerical solutions of eigenvalue problems with piecewise analytic data, SIAM J. Numer. Anal. 26 (1989) 1534-1560.
8. I. Babuška and B.Q. Guo, The h-p version of the finite element method for problem with non-homogenous essential boundary conditions, Comput. Methods Appl. Math. Engrg. 74 (1989) 1-28.
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10. B.Q. Guo and I. Babuška, The h-p version of the finite element method, Part II. General results and applications, Comput. Mech. 1 (1986) 203-220.
11. I. Babuška and B.Q. Guo, The h-p version of the finite element method for domains with curved boundaries, SIAM J. Numer. Anal. 25 (1988) 837-861.
12. A. Gui and I. Babuška, The h-p versions of the finite element method in one dimension, Part I, the error analysis of the p-version; Part II, the error analysis of the h and h-p versions, Numer. Math. 43 (1986) 577-612, 613-657.
13. B.Q. Guo, The h-p version of the finite element method for elliptic equations of 2m order, Numer. Math. 53 (1988) 199-224.
14. I. Babuška, H.C. Eleman and K. Markley, Parallel implementation of the h-p version of the finite element method for a shared memory architecture, SIAM J. Sci. Stat. Comput. 13 (1992) 1433-1450.
15. I. Babuška and H.C. Elman, Performance of the h-p version of the finite element method with various elements, Int. J. Numer. Methods Engrg. 36 (1993) 2503-2533.
16. I. Babuška and B.Q. Guo, The h-p version of the finite element method in 3 dimensions, to appear.
17. B.Q. Guo, The h-p version of the finite element method for solving boundary value problems in polyhedral domains. Boundary value problems and integral equations in nonsmooth domains, M. Costabel, M. Dauge, S. Nicaise, eds. (1994) 101-120.