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Volumn 157, Issue 3-4, 1998, Pages 225-238

The computation of potentials near and on the boundary by an extraction technique for boundary element methods

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

EID: 0032072067     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00237-5     Document Type: Article
Times cited : (25)

References (20)
  • 1
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    • (1983) Math. Comput. , vol.41 , pp. 349-381
    • Arnold, D.N.1    Wendland, W.L.2
  • 3
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains - Elementary results
    • [3] M. Costabel, Boundary integral operators on Lipschitz domains - elementary results, SIAM J. Math. Anal. 19 (1987) 613-626.
    • (1987) SIAM J. Math. Anal. , vol.19 , pp. 613-626
    • Costabel, M.1
  • 4
    • 84961469047 scopus 로고
    • Strong ellipticity of boundary integral operators
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    • (1986) Grelles J. Reine Angew. Math. , vol.372 , pp. 34-63
    • Costabel, M.1    Wendland, W.L.2
  • 5
    • 33747535085 scopus 로고
    • A finite element method for some integral equations of the first kind
    • [5] G.C. Hsiao and W.L. Wendland, A finite element method for some integral equations of the first kind, J. Math. Anal. Appl. 58 (1977) 449-481.
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 449-481
    • Hsiao, G.C.1    Wendland, W.L.2
  • 6
    • 0019632578 scopus 로고
    • The Aubin-Nitsche lemma for integral equations
    • [6] G.C. Hsiao and W.L. Wendland, The Aubin-Nitsche lemma for integral equations, J. Integral Eqs. 3 (1981) 299-315.
    • (1981) J. Integral Eqs. , vol.3 , pp. 299-315
    • Hsiao, G.C.1    Wendland, W.L.2
  • 11
    • 84968510935 scopus 로고
    • New error coefficients for estimating quadrature errors for analytic functions
    • [11] P. Rabinowitz and N. Richter, New error coefficients for estimating quadrature errors for analytic functions, Math. Comput. 24 (1970) 561-570.
    • (1970) Math. Comput. , vol.24 , pp. 561-570
    • Rabinowitz, P.1    Richter, N.2
  • 12
    • 0039237658 scopus 로고
    • Pointwise convergence of some boundary element methods
    • part I
    • [12] R. Rannacher and W.L. Wendland, Pointwise convergence of some boundary element methods. RAIRO Modél Math. Anal. Numér. 19(1) (1985) 65-88 (part I), 22(2) (1988) 343-362 (part II).
    • (1985) RAIRO Modél Math. Anal. Numér. , vol.19 , Issue.1 , pp. 65-88
    • Rannacher, R.1    Wendland, W.L.2
  • 13
    • 0038840513 scopus 로고
    • part II
    • [12] R. Rannacher and W.L. Wendland, Pointwise convergence of some boundary element methods. RAIRO Modél Math. Anal. Numér. 19(1) (1985) 65-88 (part I), 22(2) (1988) 343-362 (part II).
    • (1988) RAIRO Modél Math. Anal. Numér. , vol.22 , Issue.2 , pp. 343-362
  • 14
    • 0040422137 scopus 로고    scopus 로고
    • An extraction technique for boundary element methods
    • W. Hackbusch, ed., Kiel, January 19-21 Vieweg-Verlag, Bruanschweig
    • [13] H. Schulz, C. Schwab and W.L. Wendland, An extraction technique for boundary element methods, in: W. Hackbusch, ed., Proc. 12th GAMM-Seminar, Kiel, January 19-21 (Vieweg-Verlag, Bruanschweig, 1996) 219-231.
    • (1996) Proc. 12th GAMM-Seminar , pp. 219-231
    • Schulz, H.1    Schwab, C.2    Wendland, W.L.3
  • 15
    • 0000879972 scopus 로고
    • Variable order composite quadrature of singular and nearly singular integrals
    • [14] C. Schwab, Variable order composite quadrature of singular and nearly singular integrals, Computing 53 (1994) 173-194.
    • (1994) Computing , vol.53 , pp. 173-194
    • Schwab, C.1
  • 16
    • 0001247249 scopus 로고
    • On numerical cubatures of singular surface integrals in boundary element methods
    • [15] C. Schwab and W.L. Wendland, On numerical cubatures of singular surface integrals in boundary element methods, Numer. Math. 62 (1992) 343-369.
    • (1992) Numer. Math. , vol.62 , pp. 343-369
    • Schwab, C.1    Wendland, W.L.2
  • 17
    • 84985316754 scopus 로고
    • Kernel properties and representations of boundary integral operators
    • [16] C. Schwab and W.L. Wendland, Kernel properties and representations of boundary integral operators, Mathematische Nachrichten 156 (1992) 187-218.
    • (1992) Mathematische Nachrichten , vol.156 , pp. 187-218
    • Schwab, C.1    Wendland, W.L.2
  • 19
    • 0002209375 scopus 로고
    • Remarks to Galerkin and least squares methods with finite elements for general elliptic problems
    • [18] E.P. Stephan and W.L. Wendland, Remarks to Galerkin and least squares methods with finite elements for general elliptic problems, in: Manuscripta Geodaetica 1 (1976) 93-123.
    • (1976) Manuscripta Geodaetica , vol.1 , pp. 93-123
    • Stephan, E.P.1    Wendland, W.L.2
  • 20
    • 0000096635 scopus 로고
    • Strongly elliptic boundary integral equations
    • A. Iserles, M. Powell, eds., Clarendon Press, Oxford
    • [19] W.L. Wendland, Strongly elliptic boundary integral equations, in: A. Iserles, M. Powell, eds., The State of the Art in Numerical Analysis (Clarendon Press, Oxford, 1987) 511-561.
    • (1987) The State of the Art in Numerical Analysis , pp. 511-561
    • Wendland, W.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.