The error estimates for the infinite element method for eigenvalue problems

Houde Han

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1982)

  • Volume: 16, Issue: 2, page 113-128
  • ISSN: 0764-583X

How to cite

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Han, Houde. "The error estimates for the infinite element method for eigenvalue problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 16.2 (1982): 113-128. <http://eudml.org/doc/193393>.

@article{Han1982,
author = {Han, Houde},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {infinite element method},
language = {eng},
number = {2},
pages = {113-128},
publisher = {Dunod},
title = {The error estimates for the infinite element method for eigenvalue problems},
url = {http://eudml.org/doc/193393},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Han, Houde
TI - The error estimates for the infinite element method for eigenvalue problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1982
PB - Dunod
VL - 16
IS - 2
SP - 113
EP - 128
LA - eng
KW - infinite element method
UR - http://eudml.org/doc/193393
ER -

References

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  1. [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. [2] L. A. YING, The infinite similar element method for calculating stress intensity factors. Scientia Sinica, 21, 1978, 19-43. Zbl0378.73075MR495569
  3. [3] H. HAN and L. A. YING, An iterative method in the infinite element. Mathematicae Numericae Sinica, 1, 1979, 91-99. Zbl0451.65082MR656882
  4. [4] V. A. KONDRAT'EV, Boundary problems for elliptic equations with conical or angular points. Trans Moscow Math Soc, 16, 1967, 227-313. Zbl0194.13405MR226187
  5. [5] L. A. YING, On the convergence of infinite similar element method. Acta Mathematicae Applagatae Sinica, 2, 1979, 149-166 MR549044
  6. [6] J. H. BRAMBLE and J.E OSBORN, Rate of convergence estimates for non-self-adjoint eigenvalue approximations. Math Comp, 27, 1973, 525-549. Zbl0305.65064MR366029
  7. [7] R. A. ADAMS, Sobolev spaces. New York, Academic Press, 1975. Zbl0314.46030MR450957
  8. [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. Zbl0478.73051
  9. [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. Zbl0456.65062MR592752
  10. [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. Zbl0423.65057MR553353
  11. [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. Zbl0299.65061MR400748

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