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Volumn 76, Issue 3, 1997, Pages 355-381

The collocation method for mixed boundary value problems on domains with curved polygonal boundaries

Author keywords

Mixed boundary value problem for the Laplacian; Polygonal domains; Trigonometric collocation method

Indexed keywords


EID: 0031488498     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050267     Document Type: Article
Times cited : (16)

References (15)
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    • Atkinson, K.E.1    Sloan, I.H.2
  • 2
    • 84966246042 scopus 로고
    • Product integration collocation methods for non-compact integral operator equations
    • Chandler, G.A., Graham, I.G. (1988): Product integration collocation methods for non-compact integral operator equations. Math. Comp. 50, 125-138
    • (1988) Math. Comp. , vol.50 , pp. 125-138
    • Chandler, G.A.1    Graham, I.G.2
  • 3
    • 0001241551 scopus 로고
    • Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation
    • Banach Center Publications PWN-Polish Scientific Publishers, Warsaw
    • Costabel, M., Stephan, E.P. (1985): Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation. Mathematical Models and Methods in Mechanics, Banach Center Publications 15, PWN-Polish Scientific Publishers, Warsaw, pp. 175-251
    • (1985) Mathematical Models and Methods in Mechanics , vol.15 , pp. 175-251
    • Costabel, M.1    Stephan, E.P.2
  • 4
    • 84966259696 scopus 로고
    • On the convergence of collocation methods for boundary integral equations on polygons
    • Costabel, M., Stephan, E.P. (1987): On the convergence of collocation methods for boundary integral equations on polygons. Math. Comp. 49, 461-578
    • (1987) Math. Comp. , vol.49 , pp. 461-578
    • Costabel, M.1    Stephan, E.P.2
  • 5
    • 84985386380 scopus 로고
    • On spline approximation for a class of non-compact integral equations
    • Elschner, J. (1990): On spline approximation for a class of non-compact integral equations. Math. Nachr. 146, 271-321
    • (1990) Math. Nachr. , vol.146 , pp. 271-321
    • Elschner, J.1
  • 6
    • 21844499099 scopus 로고
    • An optimal order collocation method for first kind boundary integral equations on polygons
    • Elschner, J., Graham, I.G. (1995): An optimal order collocation method for first kind boundary integral equations on polygons. Numer. Math. 70, 1-31
    • (1995) Numer. Math. , vol.70 , pp. 1-31
    • Elschner, J.1    Graham, I.G.2
  • 10
    • 0039598215 scopus 로고
    • A nyström method for boundary integral equations on domains with piecewise smooth boundary
    • Jeon, Y. (1993): A Nyström method for boundary integral equations on domains with piecewise smooth boundary. J. Integral Eqns Appl. 5, 221-242
    • (1993) J. Integral Eqns Appl. , vol.5 , pp. 221-242
    • Jeon, Y.1
  • 11
    • 0039585037 scopus 로고
    • A quadrature method for the Cauchy singular integral equations
    • Jeon, Y. (1995): A quadrature method for the Cauchy singular integral equations. J. Integral Eqns Appl. 7, 425-461
    • (1995) J. Integral Eqns Appl. , vol.7 , pp. 425-461
    • Jeon, Y.1
  • 12
    • 34249955643 scopus 로고
    • A nyström method for boundary integral equations in domains with corners
    • Kress, R. (1990): A Nyström method for boundary integral equations in domains with corners. Numer. Math. 58, 145-161
    • (1990) Numer. Math. , vol.58 , pp. 145-161
    • Kress, R.1
  • 14
    • 0011354249 scopus 로고
    • Quadrature methods for strongly elliptic singular integral equations on an interval
    • Birkhäuser, Basel
    • Prössdorf, S., Rathsfeld, A. (1989): Quadrature methods for strongly elliptic singular integral equations on an interval. Operator theory: Advances and Applications 41, Birkhäuser, Basel, pp. 435-471
    • (1989) Operator Theory: Advances and Applications , vol.41 , pp. 435-471
    • Prössdorf, S.1    Rathsfeld, A.2
  • 15
    • 0000549690 scopus 로고
    • On integral equations of the first kind with logarithmic kernels
    • Yan, Y., Sloan, I.H. (1988): On integral equations of the first kind with logarithmic kernels. J. Integral Eqns Appl. 1, 549-579
    • (1988) J. Integral Eqns Appl. , vol.1 , pp. 549-579
    • Yan, Y.1    Sloan, I.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.