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Volumn 11, Issue 1, 1996, Pages 32-36

Error control in numerical solution of boundary integral equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; ESTIMATION; FINITE ELEMENT METHOD; MATHEMATICAL OPERATORS;

EID: 0029734606     PISSN: 10544887     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (11)
  • 1
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    • Scattering from parallel metallic cylinders with arbitrary cross-section
    • M. G. Andreason, Scattering from parallel metallic cylinders with arbitrary cross-section, IEEE Trans. Antennas and Propagation, vol. AP-14, pp. 746-754, 1964.
    • (1964) IEEE Trans. Antennas and Propagation , vol.AP-14 , pp. 746-754
    • Andreason, M.G.1
  • 2
    • 0040707168 scopus 로고
    • Iterative solutions of first kind integral equations
    • R. Kleinman, R. Kress and E. Martensen, eds., Peter Lang, Frankfurt
    • P. M. van den Berg, A. P. M. Zwamborn, G. C. Hsiao and R. E. Kleinman, Iterative solutions of first kind integral equations, in Direct and Inverse Boundary Value Problems, R. Kleinman, R. Kress and E. Martensen, eds., Peter Lang, Frankfurt, 213-232, 1991.
    • (1991) Direct and Inverse Boundary Value Problems , pp. 213-232
    • Van Den Berg, P.M.1    Zwamborn, A.P.M.2    Hsiao, G.C.3    Kleinman, R.E.4
  • 4
    • 0001557093 scopus 로고    scopus 로고
    • Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations
    • to appear
    • M. Feistauer, G. C. Hsiao and R. E. Kleinman, Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations, SIAM J. Numer. Anal., to appear, 33, 1996.
    • (1996) SIAM J. Numer. Anal. , vol.33
    • Feistauer, M.1    Hsiao, G.C.2    Kleinman, R.E.3
  • 5
    • 3342899659 scopus 로고
    • On the stability of boundary element methods for integral equations of the first kind
    • C. A. Brebbia, W. L. Wendland and G. Kuhn, eds., Springer-Verlag
    • G. C. Hsiao, On the stability of boundary element methods for integral equations of the first kind, in Boundary Elements IX 1, C. A. Brebbia, W. L. Wendland and G. Kuhn, eds., Springer-Verlag, 177-192, 1987.
    • (1987) Boundary Elements IX , vol.1 , pp. 177-192
    • Hsiao, G.C.1
  • 6
    • 0027001069 scopus 로고
    • Feasible error estimates in boundary element methods in
    • C. A. Brebbia and M. S. Ingber, eds., Computational Mechanics Publications, Southampton
    • G. C. Hsiao and R. E. Kleinman, Feasible error estimates in boundary element methods in Boundary Element Technology VII, C. A. Brebbia and M. S. Ingber, eds., Computational Mechanics Publications, Southampton, 875-886, 1992.
    • (1992) Boundary Element Technology VII , pp. 875-886
    • Hsiao, G.C.1    Kleinman, R.E.2
  • 7
    • 0028495133 scopus 로고
    • Error analysis in numerical solution of acoustic integral equations
    • G. C. Hsiao and R. E. Kleinman, Error analysis in numerical solution of acoustic integral equations, Int. J. for Num. Meth. in Eng. 37, 2921-2933, 1994.
    • (1994) Int. J. for Num. Meth. in Eng. , vol.37 , pp. 2921-2933
    • Hsiao, G.C.1    Kleinman, R.E.2
  • 8
    • 33747535085 scopus 로고
    • A finite element method for some integral equations of the first kind
    • G. C. Hsiao and W. L. Wendland, A finite element method for some integral equations of the first kind, J. Math. Anal. Appl. 58, 449-481, 1977.
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 449-481
    • Hsiao, G.C.1    Wendland, W.L.2
  • 9
    • 0019632578 scopus 로고
    • The Aubin-Nitsche lemma for integral equations
    • G. C. Hsiao and W. L. Wendland, The Aubin-Nitsche lemma for integral equations, J. Integral Equations 3, 299-315, 1981.
    • (1981) J. Integral Equations , vol.3 , pp. 299-315
    • Hsiao, G.C.1    Wendland, W.L.2
  • 10
    • 3343001560 scopus 로고
    • Solution of potential problems using combinations of the regular and derivative boundary integral equations
    • M. Ingber and T. J. Rudolphi, Solution of potential problems using combinations of the regular and derivative boundary integral equations, Appl. Math. Modelling 14, 536-543, 1990.
    • (1990) Appl. Math. Modelling , vol.14 , pp. 536-543
    • Ingber, M.1    Rudolphi, T.J.2
  • 11
    • 84950179567 scopus 로고
    • An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems
    • E. P. Stephan and W. L. Wendland, An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems, Applicable Analysis 18, 185-219, 1984.
    • (1984) Applicable Analysis , vol.18 , pp. 185-219
    • Stephan, E.P.1    Wendland, W.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.