Publication Cover
Applicable Analysis
An International Journal
Volume 16, 1983 - Issue 3
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Original Articles

The normal dervative of the double layer potential on polygons and galerkin approximation

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Pages 205-228 | Published online: 10 May 2007

References

  • Arnold , D.N. and wendland , W.L. 1982 . On the asymptotic convergence of collocation methods ,
  • Costabel , M. and Stephan , E. 1981 . Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation , Warsaw : Banach Center Publications .
  • Costabel , M. and Stephan , E. 1981 . The boundary integral method for a mixed boundary value problem in a polygonal domain . Ad¬vances in Computer Methods for Partial Differential Equa¬tions IV , : 300 – 304 .
  • Costabel , M. , Stephan , E. and Wendland , W.L. On boundary inte¬gral equations of the first kind for the bi-Laplacian in a polygonal plane domain ,
  • Fabes , E.B. , Jodeit , M. and Lewis , J.E. 1977 . Double layer potentials for domains with corners and edges . Indiana Univ. Math. Journal , 26 : 95 – 114 .
  • Giroire , J. and Nedelec , J.C. 1978 . Numerical solution of an exterior Neumann problem using a double-layer potential . Math, of Comp , 22 : 973 – 990 .
  • Grisvard , P. 1980 . Boundary value problems in non-smooth domains , University of Maryland .
  • Hildebrandt , S. and Wienholtz , E. 1964 . Constructive proof of repre¬sentation theorems in separable Hilbert space . Comm. Pure Appl. Math , 17 : 369 – 373 .
  • Kondratiev , V.A. 1967 . Boundary problems for elliptic equations in domains with conical or angular points . Trans. Moscow Math. Soc , 16 : 227 – 131 .
  • Meyer , W.L. , Bell , W.A. , Stallybrass , M.P. and Zinn , B.T. 1978 . Boundary integral solutions of three dimensional acoustic radiation problems . Journal of Sound and Vibration , 59 : 245 – 262 .
  • Nedelec , J.C. 1978 . La methode des elements finis appliquees aux equations integralesde la physique . First meeting AFCET-SMF on applied mathematics, Palaiseau , 1 : 181 – 190 .
  • Shamir , E. 1963 . Mixed boundary value problems for elliptic equations in the plane -the Lp-theory . Ann. Scuola Norm, Sup. Pisa, ser. III , 17 : 117 – 139 .
  • Stephan , E. Solution procedures for interface problems in acoustics and electromagnetics, in: Theoretical Acoustics and Numerical Techniques , Springer
  • Stephan , E. and Wendland , W.L. 1976 . Remarks to Galerkin and least square methods with finite elements for general elliptic problems . Manuscripta geodaetica , 1 : 93 – 123 .

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