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Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 6
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Original Articles

Wavelet Solution of Plane Elasticity Problem in the Upper Half-plane

Pages 1427-1441 | Published online: 09 Sep 2010

  • Lin , W. and Shen , Y. Wavelet solutions to the natural boundary integral equations of the plane elasticity problem . Proceedings of the Second ISAAC Congress . Vol. 2 , pp. 1471 – 1480 . Netherlands : Kluwer Academic Publishers .
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  • Feng , K. and Yu , D. Canonical integral equations of elliptic boundary value problems and their numerical solutions . Proc. of China-France Symp. on FEM . pp. 211 – 252 . Beijing : Science Press .
  • Feng , K. Finite element method and natural boundary reduction . Proc. of the International Congress of Mathematicians . pp. 1439 – 1453 . Warszawa
  • Chen , W. and Lin , W. Hadamard singular integral equations and its Hermite wavelet . Proc. of the Fifth International Colloquium on Finite or Infinite Dimensional Complex Analysis . Edited by: Li , Z. , Wu , S. and Yang , L. pp. 13 – 22 . Beijing, , China
  • Wu , J. and Yu , D. 1999 . The natural integral equations of 3-D harmonic problems and their numerical solutions . Chinese J. Num. Math. & Appl. , 21 (1) : 73 – 85 .
  • Wu , J. and Yu , D. 2000 . The overlapping domain decomposition method for harmonic equation over exterior three-dimensional domain . J. Comput. Math. , 18 (1) : 83 – 94 .
  • Hui , C.-Y. and Shia , D. 1999 . Evaluations of hypersingular integrals using Gaussian quadrature . Int. J. for Numer. Meth. in Engng. , 44 : 205 – 214 .
  • Rosen , D. and Cormack , D.E. 1993 . Singular and near singular integrals in the BEM . A Global Approach, SIAM J. Appl. Math. , 53 : 340 – 357 .
  • Gilbert , R.P. and Lin , W. 1993 . Wavelet solutions for time harmonic acoutic waves in a finite ocean . Journal of Computional Acoustic , 1 (1) : 31 – 60 .
  • Micchelli , C.A. , Xu , Y. and Zhao , Y. 1997 . Wavelet Galerkin methods for second-kind integral equations . J. Comp. Appl. Math. , 86 : 251 – 270 .
  • Jaffard , S. 1992 . Wavelet methods for fast resolution of elliptic problems . SIAM J. Numer. Anal. , 29 : 965 – 986 .
  • Shen , Z. and Xu , Y. 1995 . Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line . Appl. Anal. , 59 : 163 – 184 .
  • Glowinski , R. , Lawton , W. , Ravachol , M. and Tenenbaum , E. 1990 . Wavelets solution of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Computing Methods in Applied Science and Engineering , 55 – 120 . Philadelphia : SIAM .
  • Glowinski , R. , Rieder , A. , Wells , R.O. Jr. and Zhou , X. 1993 . A Wavelet Multilevel Method for Dirichlet Boundary Value Problems in General Domains , Technical Report 93-06 Houston : Computational Mathematics Laboratory, Rice University .
  • Petersdorff , T.V. and Schwab , C. 1996 . Wavelet approximations for first kind boundary integral equations on polygons . Numer. Math. , 74 : 479 – 519 .
  • Daubechies , I. 1992 . Ten Lectures on Wavelets , Montpelier, Vermont : Capital City Press .
  • Dautray , R. and Lions , J.L. 1990 . Mathematical Analysis and Numerical Methods for Science and Technology , Berlin : Springer-Verlag .

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