메뉴 건너뛰기




Volumn 14, Issue 4, 1994, Pages 523-544

An analysis of the coupling of finite-element and nyström methods in acoustic scattering

Author keywords

[No Author keywords available]

Indexed keywords


EID: 10444224697     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/14.4.523     Document Type: Article
Times cited : (57)

References (24)
  • 1
    • 77950294271 scopus 로고
    • Finite-element approximation of elliptic equations with a Neumann or Robin condition on a curved boundary
    • Barrett, J., and Elliott, C. 1988 Finite-element approximation of elliptic equations with a Neumann or Robin condition on a curved boundary. IMA J. Numer. Anal. 8, 321-342.
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 321-342
    • Barrett, J.1    Elliott, C.2
  • 2
    • 0000347589 scopus 로고
    • Optimal finite element interpolation on curved domains
    • Bernardi, C. 1989 Optimal finite element interpolation on curved domains. SIAM J. Numer. Anal. 26, 1212-1240.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1212-1240
    • Bernardi, C.1
  • 3
    • 84966242349 scopus 로고
    • The Lagrange multiplier method for Dirichlet’s problem
    • Bramble, J. 1981 The Lagrange multiplier method for Dirichlet’s problem. Math. Comput. 37, 1-11.
    • (1981) Math. Comput. , vol.37 , pp. 1-11
    • Bramble, J.1
  • 4
    • 0019540845 scopus 로고
    • A new computational approach for the linearized scalar potential formulation of the magnetostatic field problem
    • Bramble, J., 1982 A new computational approach for the linearized scalar potential formulation of the magnetostatic field problem. IEEE Trans. Magnetics MAG-18, 357-361.
    • (1982) IEEE Trans. Magnetics MAG-18 , pp. 357-361
    • Bramble, J.1
  • 5
    • 84968572344 scopus 로고
    • A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Preprint
    • Bramble, J. H., and Pasciak, J. E. 1993 A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Preprint.
    • (1993)
    • Bramble, J.H.1    Pasciak, J.E.2
  • 7
    • 84968491212 scopus 로고
    • Approximation results for orthogonal polynomials in Sobolev spaces
    • Canuto, C., and Quarteroni, A. 1982 Approximation results for orthogonal polynomials in Sobolev spaces. Math. Comput. 38, 67-86.
    • (1982) Math. Comput. , vol.38 , pp. 67-86
    • Canuto, C.1    Quarteroni, A.2
  • 9
    • 0027083792 scopus 로고
    • The numerical solution of an inverse scattering problem for acoustic waves
    • Colton, D., and Monk, P. 1992 The numerical solution of an inverse scattering problem for acoustic waves. IMA J. Appl. Math. 49, 163-184.
    • (1992) IMA J. Appl. Math. , vol.49 , pp. 163-184
    • Colton, D.1    Monk, P.2
  • 10
    • 0001836507 scopus 로고
    • Domain decomposition method and the Helmholtz problem
    • (G. Cohen, L. Halpem and P. Joly, eds). Philadelphia: SIAM
    • Despres, B. 1991 Domain decomposition method and the Helmholtz problem. Mathematical and Numerical Aspects of Wave Propagation Phenomena (G. Cohen, L. Halpem and P. Joly, eds). Philadelphia: SIAM, pp 44-52.
    • (1991) Mathematical and Numerical Aspects of Wave Propagation Phenomena , pp. 44-52
    • Despres, B.1
  • 12
    • 0001796651 scopus 로고
    • The finite element method with non-uniform mesh sizes applied to the exterior Helmholtz problem
    • Goldstein, C. 1981 The finite element method with non-uniform mesh sizes applied to the exterior Helmholtz problem. Numer. Math. 38, 61-82.
    • (1981) Numer. Math. , vol.38 , pp. 61-82
    • Goldstein, C.1
  • 13
    • 0020944169 scopus 로고
    • The solution of exterior interface problems using a variational method with Lagrange multipliers
    • Goldstein, C. 1983 The solution of exterior interface problems using a variational method with Lagrange multipliers. J. Math. Anal. Appl. 97, 480-508.
    • (1983) J. Math. Anal. Appl. , vol.97 , pp. 480-508
    • Goldstein, C.1
  • 15
    • 0000994280 scopus 로고
    • The coupling of boundary element and finite element methods. Z
    • Hsiao, G. 1990 The coupling of boundary element and finite element methods. Z. Angew. Math. Mech. 70, T493-T503.
    • (1990) Angew. Math. Mech. , vol.70 , pp. T493-T503
    • Hsiao, G.1
  • 16
    • 0039583047 scopus 로고
    • An analysis of quadrature errors in second-kind boundary integral methods
    • Johnson, C., and Scott, L. 1989 An analysis of quadrature errors in second-kind boundary integral methods. SIAM J. Numer. Anal. 26, 1356-1382.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1356-1382
    • Johnson, C.1    Scott, L.2
  • 17
    • 0021042153 scopus 로고
    • Inverse scattering solutions by a sine basis, multiple source, moment method Part I: Theory
    • Johnson, S., and Tracey, M. 1983 Inverse scattering solutions by a sine basis, multiple source, moment method Part I: Theory. Ultrason. Imaging 5, 361-375.
    • (1983) Ultrason. Imaging , vol.5 , pp. 361-375
    • Johnson, S.1    Tracey, M.2
  • 18
    • 84968572224 scopus 로고
    • Remarks on some notions of weak solutions for the Helmholtz equation
    • To appear
    • Kirsch, A. 1993 Remarks on some notions of weak solutions for the Helmholtz equation. Applicable Anal. To appear.
    • (1993) Applicable Anal
    • Kirsch, A.1
  • 19
    • 0001487231 scopus 로고
    • Convergence analysis of a coupled finite element and spectral method in acoustic scattering
    • Kirsch, A., and Monk, P. 1990 Convergence analysis of a coupled finite element and spectral method in acoustic scattering. IMA J. Numer. Anal. 9, 425-447.
    • (1990) IMA J. Numer. Anal. , vol.9 , pp. 425-447
    • Kirsch, A.1    Monk, P.2
  • 21
    • 0016128144 scopus 로고
    • Unimoment method of solving antenna and scattering problems
    • Mei, K. 1974 Unimoment method of solving antenna and scattering problems. IEEE Trans. Antennas Propagat. AP-22, 760-766.
    • (1974) IEEE Trans. Antennas Propagat , vol.AP-22 , pp. 760-766
    • Mei, K.1
  • 23
    • 84966217446 scopus 로고
    • An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
    • Schatz, A. 1974 An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Math. Comput. 28, 959-962.
    • (1974) Math. Comput. , vol.28 , pp. 959-962
    • Schatz, A.1
  • 24
    • 0016518553 scopus 로고
    • Interpolated boundary conditions in the finite element method
    • Scott, R. 1975 Interpolated boundary conditions in the finite element method. SIAM J. Numer. Anal. 12, 404-427.
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 404-427
    • Scott, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.