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Volumn 79, Issue 2, 1997, Pages 277-287

Comparison of two methods for the computation of singular solutions in elliptic problems

Author keywords

Convergence; Elliptic problems; Singularities

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; LAGRANGE MULTIPLIERS; POLYNOMIALS;

EID: 0031095490     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00173-2     Document Type: Article
Times cited : (17)

References (10)
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  • 2
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  • 3
    • 0026407650 scopus 로고
    • The integrated singular basis function method for the stick-slip and the die-swell problems
    • G.C. Georgiou, L.G. Olson and W.W. Schultz, The integrated singular basis function method for the stick-slip and the die-swell problems, Int. J. Numer. Methods Fluids 13 (1991) 1251-1265.
    • (1991) Int. J. Numer. Methods Fluids , vol.13 , pp. 1251-1265
    • Georgiou, G.C.1    Olson, L.G.2    Schultz, W.W.3
  • 4
    • 0030082646 scopus 로고    scopus 로고
    • A singular function boundary integral method for the Laplace equation
    • G.C. Georgiou, L.G. Olson and Y. Smyrlis, A singular function boundary integral method for the Laplace equation, Commun. Numer. Meth. Eng. 12 (1996) 127-134.
    • (1996) Commun. Numer. Meth. Eng. , vol.12 , pp. 127-134
    • Georgiou, G.C.1    Olson, L.G.2    Smyrlis, Y.3
  • 5
    • 0023364889 scopus 로고
    • Boundary methods for solving elliptic problems with singularities and interfaces
    • Z.-C. Li, R. Mathon and P. Sermer, Boundary methods for solving elliptic problems with singularities and interfaces, SIAM J. Numer. Anal. 24 (1987) 487-498.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 487-498
    • Li, Z.-C.1    Mathon, R.2    Sermer, P.3
  • 6
    • 0041935480 scopus 로고
    • Uniform approximations to functions of a complex variable
    • S.N. Mergelyan, Uniform approximations to functions of a complex variable, Amer. Math. Soc. Trans. Ser. 1 3 (1962) 294-391.
    • (1962) Amer. Math. Soc. Trans. Ser. 1 , vol.3 , pp. 294-391
    • Mergelyan, S.N.1
  • 7
    • 0024883616 scopus 로고
    • A comparison of adaptive refinement techniques for elliptic problems
    • W.F. Mitchell, A comparison of adaptive refinement techniques for elliptic problems, ACM Trans. Math. Software 15 (1989) 326-347.
    • (1989) ACM Trans. Math. Software , vol.15 , pp. 326-347
    • Mitchell, W.F.1
  • 8
    • 0001586518 scopus 로고
    • An efficient finite element method for treating singularities in Laplace's equation
    • L.G. Olson, G.C. Georgiou and W.W. Schultz, An efficient finite element method for treating singularities in Laplace's equation, J. Comput. Phys. No. 2 (1991) 391-409.
    • (1991) J. Comput. Phys. , vol.2 , pp. 391-409
    • Olson, L.G.1    Georgiou, G.C.2    Schultz, W.W.3
  • 9
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    • A power series solution of a harmonic mixed boundary value problem
    • University of Wisconsin
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    • Rosser, J.B.1    Papamichael, N.2
  • 10
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    • An efficient method for subtracting off singularities at corners for Laplace's equation
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.