Free Access
Issue
RAIRO. Anal. numér.
Volume 16, Number 2, 1982
Page(s) 113 - 128
DOI https://doi.org/10.1051/m2an/1982160201131
Published online 31 January 2017
  1. H. HAN, The infinite element method for eigenvalue problems. Tech TR-80-70, MD80-80-HH, October 1980. Department of Mathematics, University of Maryland.
  2. L. A. YING, The infinite similar element method for calculating stress intensity factors. Scientia Sinica, 21, 1978, 19-43. [MR: 495569] [Zbl: 0378.73075]
  3. H. HAN and L. A. YING, An iterative method in the infinite element. Mathematicae Numericae Sinica, 1, 1979, 91-99. [MR: 656882] [Zbl: 0451.65082]
  4. V. A. KONDRAT'EV, Boundary problems for elliptic equations with conical or angular points. Trans Moscow Math Soc, 16, 1967, 227-313. [MR: 226187] [Zbl: 0194.13405]
  5. L. A. YING, On the convergence of infinite similar element method. Acta Mathematicae Applagatae Sinica, 2, 1979, 149-166 [MR: 549044]
  6. J. H. BRAMBLE and J.E OSBORN, Rate of convergence estimates for non-self-adjoint eigenvalue approximations. Math Comp, 27, 1973, 525-549. [MR: 366029] [Zbl: 0305.65064]
  7. R. A. ADAMS, Sobolev spaces. New York, Academic Press, 1975. [MR: 450957] [Zbl: 0314.46030]
  8. H. HAN, The numerical solutions of interface problems by infinite element method. Tech TR-80-7, MD80-7-HH, February 1980. Departement of Mathematics, University of Maryland. [Zbl: 0478.73051]
  9. P. DESTUYNDER and M DJAOUA, Estimation de l'erreur sur le coefficient de la singularite de la solution d'un problème elliptique sur un ouvert avec coin. R.A.I.R.O. Analyse Numerique/Numberical Analysis, Vol. 14, n° 3, 1980, pp. 239 à 248. [EuDML: 193360] [MR: 592752] [Zbl: 0456.65062]
  10. I. BABUSKA,R. B. KELLOGG and J. PITKARANTA, Direct and inverse error estimates for finite elements with mesh refinements. Numer Math, 33, 1979, 447-471. [EuDML: 132654] [MR: 553353] [Zbl: 0423.65057]
  11. R. W. THATCHER, The use of infinite grid refinements at singularities in the solution of Laplace's equation. Numer Math. 25, 1976, 163-178. [EuDML: 132371] [MR: 400748] [Zbl: 0299.65061]

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