Free Access
Issue
ESAIM: M2AN
Volume 21, Number 2, 1987
Page(s) 199 - 238
DOI https://doi.org/10.1051/m2an/1987210201991
Published online 31 January 2017
  1. I. BABUSKA and A. K. AZIZ, Survey Lectures on the Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A. K. Aziz, ed.), 3-359, Academic Press, New York, 1972. [MR: 421106] [Zbl: 0268.65052]
  2. I. BABUSKA, M. R. DORR, Error estimates for the combined h and p versions of finite element method. Numer. Math. 37 (1981), 252-277. [MR: 623044] [Zbl: 0487.65058]
  3. I. BABUSKA, W. GUI, B. GUO, B. A. SZABO, Theory and performance of the h-p version of the finite element method. To appear.
  4. I. BABUSKA, R. B. KELLOGG, J. PITKÄRANTA, Direct and inverse error estimates for finite element method. . SIAM J. Numer. Anal. 18 (1981), 515-545. [Zbl: 0487.65059]
  5. I. BABUSKA, M. SURI, The optimal convergence rate of the p-version of the finite element method. Tech. Note BN-1045, Institute for Physical Science and Technology, University of Maryland, Oct. 1985. [Zbl: 0637.65103]
  6. I. BABUSKA,B. A. SZABO and I. N. KATZ, The p-version of the finite element method. SIAM J. Numer. Anal. 18 (1981), 515-545. [MR: 615529] [Zbl: 0487.65059]
  7. I. BABUSKA and B. A. SZABO, On the rate of convergence of finite element method. Internat. J. Numer. Math. Engrg. 18 (1982), 323-341. [MR: 648550] [Zbl: 0498.65050]
  8. I. BERGH and J. LOFSTROM, Interpolation Spaces. Springer, Berlin, Heidelberg, New York, 1976. [Zbl: 0344.46071]
  9. P. G. CIARLET, The Finite Element Method for Elliptic Problems. North-Holland, 1978. [MR: 520174] [Zbl: 0383.65058]
  10. M. R. DORR, The approximation theory for the p-version of the finite element method. SIAM J. Numer. Anal. 21 (1984), 1180-1207. [MR: 765514] [Zbl: 0572.65074]
  11. M. R. DORR, The Approximation of the Solutions of Elliptic Boundary-Value Problems via the p-Version of the Finite Element Method. SIAM J. Numer. Anal. 23 (1986), 58-77. [MR: 821906] [Zbl: 0617.65109]
  12. P. GRISVARD, Elliptic problems in nonsmooth domains. Pitman, Boston, 1985. [MR: 775683] [Zbl: 0695.35060]
  13. W. GUI and I. BABUSKA, The h, p and h-p versions of the finite element method for one dimensional problem : Part 1 : The error analysis of the p-version. Tech. Note BN-1036 ; Part 2 : The error analysis of the h and h-p versions. Tech. Note BN-1037 ; Part 3 : The adaptive h-p version, Tech. Note BN-1038, IPST, University of Maryland, College Park, 1985. To appear in Nume. Math.
  14. B. GUO, I. BABUSKA, The h-p Version of the Finite Element Method. Part I : The basic approximation results. Part II : General results and applications. To appear in Comp. Mech. 1 (1986). [MR: 1017747] [Zbl: 0634.73059]
  15. G. H. HARDY, T. E. LITTLEWOOD, G. POLYA, Inequalities. Cambridge University Press, Cambridge, 1934. [Zbl: 0010.10703] [JFM: 60.0169.01]
  16. V. A. KONDRAT'EV, Boundary value problems for elliptic equations in domains with conic or angular points. Trans. Moscow Math. Soc. (1967), 227-313. [MR: 226187] [Zbl: 0194.13405]
  17. |17] J. L. LIONS, E. MAGENES, Non-homogeneous boundary value problems and applications-I. Springer-Verlag, Berlin, Heidelberg, New York, 1972. [Zbl: 0223.35039]
  18. A. PINKUS, n-widths in Approximation Theory. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985. [MR: 774404] [Zbl: 0551.41001]
  19. E. M. STEIN, Singular integrals and differentiability properties of functions. Princeton University Press, Princeton, N. J., 1970. [MR: 290095] [Zbl: 0207.13501]
  20. G. STRANG and G. J. FIX, An Analysis of the Finite Element Method. Prentice-Hall, Inglewood Cliffs, 1973. [MR: 443377] [Zbl: 0356.65096]
  21. B. A. SZABO, PROBE : Theoretical Manual. Noetic Technologies Corporation, St Louis, Missouri, 1985.
  22. B. A. SZABO, Computation of Stress Field Parameters in Area of Steep stress gradients. Tech. Note WU/CCM-85/1, Center for Computational Mechanics, Washington University, 1985. [Zbl: 0586.73170]
  23. B. A. SZABO, Mesh Design of the p-Version of the Finite Element Method. Lecture at Joint ASME/ASCE Mechanics Conference, Albuquerque, New Mexico, June 24-26, 1985. Report WV/CCM-85/2, Center for Computational Mechanics, Washington University, St Louis. [Zbl: 0587.73106]
  24. B. A. SZABO, Implementation of a Finite Element Software System with h- and p-Extension Capabilities. Proc., 8th Invitational UFEM Symposium : Unification of Finite Element Software Systems. Ed. by H. Kardestuncer, The University of Connecticut, May 1985.

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