메뉴 건너뛰기




Volumn 34, Issue 1, 2010, Pages 60-65

On the implementation of 3D Galerkin boundary integral equations

Author keywords

Boundary element method; Galerkin approximation; Hypersingular integrals; Incomplete LU; Iterative methods; Potential theory; Singular integrals; Sparse preconditioner; Triangular boundary

Indexed keywords

GALERKIN APPROXIMATION; HYPERSINGULAR INTEGRALS; INCOMPLETE LU; POTENTIAL THEORY; SINGULAR INTEGRALS; SPARSE PRECONDITIONER; TRIANGULAR BOUNDARY;

EID: 70349952390     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2009.06.010     Document Type: Article
Times cited : (5)

References (24)
  • 1
    • 0036150025 scopus 로고    scopus 로고
    • Hypersingular kernel integration in 3D Galerkin boundary element method
    • Aimi A., and Diligenti M. Hypersingular kernel integration in 3D Galerkin boundary element method. J Comput Appl Math 138 1 (2002) 51-72
    • (2002) J Comput Appl Math , vol.138 , Issue.1 , pp. 51-72
    • Aimi, A.1    Diligenti, M.2
  • 5
    • 0032290382 scopus 로고    scopus 로고
    • Circulant preconditioners for ill-conditioned boundary integral equations from potential equations
    • Chan R.H., Sun H.-W., and Ng W.-F. Circulant preconditioners for ill-conditioned boundary integral equations from potential equations. Int J Numer Methods Eng 43 (1998) 1505-1521
    • (1998) Int J Numer Methods Eng , vol.43 , pp. 1505-1521
    • Chan, R.H.1    Sun, H.-W.2    Ng, W.-F.3
  • 6
    • 0032228601 scopus 로고    scopus 로고
    • On a class of preconditioning methods for dense linear systems from boundary elements
    • Chen K. On a class of preconditioning methods for dense linear systems from boundary elements. SIAM J Sci Comput 20 2 (1998) 684-698
    • (1998) SIAM J Sci Comput , vol.20 , Issue.2 , pp. 684-698
    • Chen, K.1
  • 7
    • 3142727223 scopus 로고    scopus 로고
    • Parallel sparse approximate preconditioners applied to the solution of BEM systems
    • Gonzaléz P., Pena T.F., and Cabaleiro J.C. Parallel sparse approximate preconditioners applied to the solution of BEM systems. Eng Anal Boundary Elements 28 (2004) 1061-1068
    • (2004) Eng Anal Boundary Elements , vol.28 , pp. 1061-1068
    • Gonzaléz, P.1    Pena, T.F.2    Cabaleiro, J.C.3
  • 8
    • 0034422156 scopus 로고    scopus 로고
    • Discrete boundary elements on general meshes in 3d
    • Graham I.G., Hackbusch W., and Sauter S.A. Discrete boundary elements on general meshes in 3d. Numer Math 86 1 (2000) 103-137
    • (2000) Numer Math , vol.86 , Issue.1 , pp. 103-137
    • Graham, I.G.1    Hackbusch, W.2    Sauter, S.A.3
  • 9
    • 0034371147 scopus 로고    scopus 로고
    • Hybrid Galerkin boundary elements: theory and implementation
    • Graham I.G., Hackbusch W., and Sauter S.A. Hybrid Galerkin boundary elements: theory and implementation. Numer Math 86 1 (2000) 139-172
    • (2000) Numer Math , vol.86 , Issue.1 , pp. 139-172
    • Graham, I.G.1    Hackbusch, W.2    Sauter, S.A.3
  • 10
    • 6344233698 scopus 로고    scopus 로고
    • Direct evaluation of hypersingular Galerkin surface integrals
    • Gray L.J., Glaeser J.M., and Kaplan T. Direct evaluation of hypersingular Galerkin surface integrals. SIAM J Sci Comput 25 5 (2004) 1534-1556
    • (2004) SIAM J Sci Comput , vol.25 , Issue.5 , pp. 1534-1556
    • Gray, L.J.1    Glaeser, J.M.2    Kaplan, T.3
  • 13
    • 44449101639 scopus 로고    scopus 로고
    • Fast Galerkin BEM for 3D-potential theory
    • Nintcheu Fata S. Fast Galerkin BEM for 3D-potential theory. Comput Mech 42 3 (2008) 417-429
    • (2008) Comput Mech , vol.42 , Issue.3 , pp. 417-429
    • Nintcheu Fata, S.1
  • 14
    • 67349273321 scopus 로고    scopus 로고
    • A fast spectral Galerkin method for hypersingular boundary integral equations in potential theory
    • Nintcheu Fata S., and Gray L.J. A fast spectral Galerkin method for hypersingular boundary integral equations in potential theory. Comput Mech 44 2 (2009) 263-271
    • (2009) Comput Mech , vol.44 , Issue.2 , pp. 263-271
    • Nintcheu Fata, S.1    Gray, L.J.2
  • 15
    • 67949104957 scopus 로고    scopus 로고
    • Semi-analytic integration of hypersingular Galerkin BIEs for three-dimensional potential problems
    • Nintcheu Fata S., and Gray L.J. Semi-analytic integration of hypersingular Galerkin BIEs for three-dimensional potential problems. J Comput Appl Math 231 2 (2009) 561-576
    • (2009) J Comput Appl Math , vol.231 , Issue.2 , pp. 561-576
    • Nintcheu Fata, S.1    Gray, L.J.2
  • 16
    • 0001573539 scopus 로고    scopus 로고
    • A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
    • Phillips J.R., and White J.K. A precorrected-FFT method for electrostatic analysis of complicated 3-D structures. IEEE Trans Comput-Aided Des Integrated Circuits Syst 16 10 (1997) 1059-1072
    • (1997) IEEE Trans Comput-Aided Des Integrated Circuits Syst , vol.16 , Issue.10 , pp. 1059-1072
    • Phillips, J.R.1    White, J.K.2
  • 20
    • 0035586889 scopus 로고    scopus 로고
    • Transformation of hypersingular integrals and black-box cubature
    • Sauter S.A., and Lage C. Transformation of hypersingular integrals and black-box cubature. Math Comput 70 (2001) 223-250
    • (2001) Math Comput , vol.70 , pp. 223-250
    • Sauter, S.A.1    Lage, C.2
  • 21
    • 58849083650 scopus 로고    scopus 로고
    • A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM
    • Scuderi L. A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM. J Comput Appl Math 225 2 (2009) 406-427
    • (2009) J Comput Appl Math , vol.225 , Issue.2 , pp. 406-427
    • Scuderi, L.1
  • 22
    • 0001845470 scopus 로고
    • BiCGSTAB(l) for linear equations involving unsymmetric matrices with complex spectrum
    • Sleijpen G.L.G., and Fokkema D.R. BiCGSTAB(l) for linear equations involving unsymmetric matrices with complex spectrum. ETNA 1 (1993) 11-32
    • (1993) ETNA , vol.1 , pp. 11-32
    • Sleijpen, G.L.G.1    Fokkema, D.R.2
  • 24
    • 0000722586 scopus 로고
    • Preconditioning for boundary integral equations
    • Vavasis S.A. Preconditioning for boundary integral equations. SIAM J Matrix Anal Appl 13 3 (1992) 905-925
    • (1992) SIAM J Matrix Anal Appl , vol.13 , Issue.3 , pp. 905-925
    • Vavasis, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.