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Volumn 74, Issue 2, 2005, Pages 75-100

Hierarchical quadrature for singular integrals

Author keywords

Numerical quadrature; Singular integrals

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS;

EID: 17144371351     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-004-0076-0     Document Type: Article
Times cited : (16)

References (19)
  • 1
    • 3042715488 scopus 로고    scopus 로고
    • Low-rank approximation of integral operators by interpolation
    • Börm, S., Grasedyck, L.: Low-rank approximation of integral operators by interpolation. Computing 72, 325-332 (2004).
    • (2004) Computing , vol.72 , pp. 325-332
    • Börm, S.1    Grasedyck, L.2
  • 2
    • 0000908836 scopus 로고
    • Quadrature over a pyramid or cube of integrands with a singularity at a vertex
    • Duffy, M. G.: Quadrature over a pyramid or cube of integrands with a singularity at a vertex. SIAM J. Numer. Anal. 19, 1260-1262 (1982).
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 1260-1262
    • Duffy, M.G.1
  • 3
    • 0032071586 scopus 로고    scopus 로고
    • Efficient automatic quadrature in 3-D Galerkin BEM
    • Erichsen, S., Sauter, S. A.: Efficient automatic quadrature in 3-D Galerkin BEM. Comp. Meth. Appl. Mech. Engng. 157, 215-224 (1998).
    • (1998) Comp. Meth. Appl. Mech. Engng. , vol.157 , pp. 215-224
    • Erichsen, S.1    Sauter, S.A.2
  • 4
    • 0005144321 scopus 로고
    • Direct evaluation of hypersingular integrals in 2-D BEM
    • (Hackbusch, W., ed.) . Braunschweig: Vieweg
    • Guiggiani, M.: Direct evaluation of hypersingular integrals in 2-D BEM. In: Numerical techniques for boundary element methods (Hackbusch, W., ed.), pp. 23-34. Braunschweig: Vieweg 1992.
    • (1992) Numerical Techniques for Boundary Element Methods , pp. 23-34
    • Guiggiani, M.1
  • 5
    • 0040504613 scopus 로고
    • Numerical techniques for boundary element methods
    • Braunschweig: Vieweg
    • Hackbusch, W. (ed.): Numerical techniques for boundary element methods. Notes on Numerical Fluid Mechanics, vol. 33. Braunschweig: Vieweg 1992.
    • (1992) Notes on Numerical Fluid Mechanics , vol.33
    • Hackbusch, W.1
  • 6
    • 0028731573 scopus 로고
    • On numerical cubatures of nearly singular surface integrals arising in BEM collocation
    • Hackbusch, W., Sauter, S. A.: On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Computing 52, 139-159 (1994).
    • (1994) Computing , vol.52 , pp. 139-159
    • Hackbusch, W.1    Sauter, S.A.2
  • 7
    • 0009506397 scopus 로고    scopus 로고
    • Boundary elements: Implementation and analysis of advanced algorithms
    • Braunschweig: Vieweg
    • Hackbusch, W., Wittum, G. (eds.): Boundary elements: implementation and analysis of advanced algorithms. Notes on Numerical Fluid Mechanics, vol. 54. Braunschweig: Vieweg 1996.
    • (1996) Notes on Numerical Fluid Mechanics , vol.54
    • Hackbusch, W.1    Wittum, G.2
  • 9
    • 0000572250 scopus 로고
    • Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation
    • (Hackbusch, W., ed.) . Braunschweig: Vieweg
    • Kieser, R., Schwab, C., Wendland, W. L.: Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation. In: Numerical techniques for boundary element methods (Hackbusch, W., ed.), pp. 279-301. Braunschweig: Vieweg 1992.
    • (1992) Numerical Techniques for Boundary Element Methods , pp. 279-301
    • Kieser, R.1    Schwab, C.2    Wendland, W.L.3
  • 11
    • 0343744667 scopus 로고    scopus 로고
    • Cubature techniques for 3-D Galerkin BEM
    • (Hackbusch, W., Wittum, G., eds.) . Braunschweig: Vieweg
    • Sauter, S. A.: Cubature techniques for 3-D Galerkin BEM. In: Boundary elements: implementation and analysis of advanced algorithms (Hackbusch, W., Wittum, G., eds.), pp. 29-44. Braunschweig: Vieweg 1996.
    • (1996) Boundary Elements: Implementation and Analysis of Advanced Algorithms , pp. 29-44
    • Sauter, S.A.1
  • 12
    • 21444445529 scopus 로고    scopus 로고
    • On the efficient computation of singular and nearly singular integrals arising in 3-D Galerkin BEM
    • Sauter, S. A. Lage, C.: On the efficient computation of singular and nearly singular integrals arising in 3-D Galerkin BEM. ZAMM 76, 273-275 (1996).
    • (1996) ZAMM , vol.76 , pp. 273-275
    • Sauter, S.A.1    Lage, C.2
  • 13
    • 0035586889 scopus 로고    scopus 로고
    • Transformation of hypersingular integrals and black-box cubature
    • Sauter, S. A. Lage, C.: Transformation of hypersingular integrals and black-box cubature. Math. Comp. 70, 223-250 (2001).
    • (2001) Math. Comp. , vol.70 , pp. 223-250
    • Sauter, S.A.1    Lage, C.2
  • 15
    • 0000879972 scopus 로고
    • Variable order composite quadrature of singular and nearly singular integrals
    • Schwab, C.: Variable order composite quadrature of singular and nearly singular integrals. Computing 53, 173-194 (1994).
    • (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
    • Schwab, C., Wendland, W. L.: On numerical cubatures of singular surface integrals in boundary element methods. Numer. Math. 62, 343-36 (1992).
    • (1992) Numer. Math. , vol.62 , pp. 343-436
    • Schwab, C.1    Wendland, W.L.2
  • 19
    • 0020552267 scopus 로고
    • A remark on the numerical computation of improper integrals
    • Yserentant, H.: A remark on the numerical computation of improper integrals. Numer. Math. 30, 179-183 (1983).
    • (1983) Numer. Math. , vol.30 , pp. 179-183
    • Yserentant, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.