메뉴 건너뛰기




Volumn 143, Issue 1, 1998, Pages 241-258

Finite-Element Solution of Nonlinear Time-Dependent Exterior Wave Problems

Author keywords

Dirichlet to Neumann (DtN); Exterior problems; Finite element; Nonlinear waves

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATION THEORY; ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 0000039721     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.9999     Document Type: Article
Times cited : (12)

References (30)
  • 7
    • 0028099393 scopus 로고
    • A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion
    • Burnett D. S. A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion. J. Acoust. Soc. Am. 96:1994;2798.
    • (1994) J. Acoust. Soc. Am. , vol.96 , pp. 2798
    • Burnett, D.S.1
  • 8
    • 0000271460 scopus 로고
    • Exact non-reflecting boundary conditions
    • Keller J. B., Givoli D. Exact non-reflecting boundary conditions. J. Comput. Phys. 82:1989;172.
    • (1989) J. Comput. Phys. , vol.82 , pp. 172
    • Keller, J.B.1    Givoli, D.2
  • 9
    • 0025421673 scopus 로고
    • Non-reflecting boundary conditions for elastic waves
    • Givoli D., Keller J. B. Non-reflecting boundary conditions for elastic waves. Wave Motion. 12:1990;261.
    • (1990) Wave Motion , vol.12 , pp. 261
    • Givoli, D.1    Keller, J.B.2
  • 10
    • 0027789037 scopus 로고
    • Artificial boundary conditions for 2D problems in geophysics
    • Givoli D., Vigdergauz S. Artificial boundary conditions for 2D problems in geophysics. Comput. Meth. Appl. Mech. Eng. 110:1993;87.
    • (1993) Comput. Meth. Appl. Mech. Eng. , vol.110 , pp. 87
    • Givoli, D.1    Vigdergauz, S.2
  • 11
    • 2142739347 scopus 로고
    • Non-reflecting boundary conditions
    • Givoli D. Non-reflecting boundary conditions. J. Comput. Phys. 94:1991;1.
    • (1991) J. Comput. Phys. , vol.94 , pp. 1
    • Givoli, D.1
  • 12
    • 0000288806 scopus 로고
    • Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
    • Harari I., Hughes T. J. R. Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Comput. Meth. Appl. Mech. Eng. 98:1992;411.
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.98 , pp. 411
    • Harari, I.1    Hughes, T.J.R.2
  • 13
    • 0026862372 scopus 로고
    • Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains
    • Harari I., Hughes T. J. R. Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains. Comput. Meth. Appl. Mech. Eng. 97:1992;103.
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.97 , pp. 103
    • Harari, I.1    Hughes, T.J.R.2
  • 14
    • 0000907608 scopus 로고
    • On non-reflecting boundary conditions
    • Grote M. J., Keller J. B. On non-reflecting boundary conditions. J. Comput. Phys. 122:1995;231.
    • (1995) J. Comput. Phys. , vol.122 , pp. 231
    • Grote, M.J.1    Keller, J.B.2
  • 15
    • 0030283626 scopus 로고    scopus 로고
    • A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition
    • Malhotra M., Pinsky P. M. A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition. Int. J. Num. Meth. Eng. 39:1996;3705.
    • (1996) Int. J. Num. Meth. Eng. , vol.39 , pp. 3705
    • Malhotra, M.1    Pinsky, P.M.2
  • 16
    • 0030126105 scopus 로고    scopus 로고
    • FE mode-matching schemes for the exterior Helmholtz problem and their relationship to the FE-DtN approach
    • Astley R. J. FE mode-matching schemes for the exterior Helmholtz problem and their relationship to the FE-DtN approach. Commun. Num. Meth. Eng. 12:1996;257.
    • (1996) Commun. Num. Meth. Eng. , vol.12 , pp. 257
    • Astley, R.J.1
  • 17
  • 18
    • 0040669290 scopus 로고
    • A finite element method for exterior interface problems
    • MacCamy, R. C., Marin S. P. A finite element method for exterior interface problems. Int. J. Math. Math. Sci. 3:1980;311.
    • (1980) Int. J. Math. Math. Sci. , vol.3 , pp. 311
    • MacCamy, R.C.1    Marin, S.P.2
  • 19
    • 84966235520 scopus 로고
    • A finite element method for solving Helmholtz type equations in wave guides and other unbounded domains
    • Goldstein C. I. A finite element method for solving Helmholtz type equations in wave guides and other unbounded domains. Math. Comp. 39:1982;309.
    • (1982) Math. Comp. , vol.39 , pp. 309
    • Goldstein, C.I.1
  • 20
    • 0001039495 scopus 로고
    • Spectral methods for exterior elliptic problems
    • Canuto C., Hariharan S. I., Lustman L. Spectral methods for exterior elliptic problems. Numer. Math. 46:1985;505.
    • (1985) Numer. Math. , vol.46 , pp. 505
    • Canuto, C.1    Hariharan, S.I.2    Lustman, L.3
  • 21
    • 85189848481 scopus 로고
    • Numerical solution of exterior problems
    • Masmondi M. Numerical solution of exterior problems. Numer. Math. 51:1987;101.
    • (1987) Numer. Math. , vol.51 , pp. 101
    • Masmondi, M.1
  • 22
    • 0006071251 scopus 로고
    • The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems
    • Gatica G. N., Hsiao G. C. The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems. Numer. Funct. Anal. Optim. 13:1992;431.
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 431
    • Gatica, G.N.1    Hsiao, G.C.2
  • 23
    • 84966231058 scopus 로고
    • Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains
    • Hagstrom T., Keller H. B. Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Math. Comput. 48:1987;449.
    • (1987) Math. Comput. , vol.48 , pp. 449
    • Hagstrom, T.1    Keller, H.B.2
  • 24
    • 0000778752 scopus 로고
    • Non-reflecting boundary conditions based on Kirchhoff-type formulae
    • Givoli D., Cohen D. Non-reflecting boundary conditions based on Kirchhoff-type formulae. J. Comput. Phys. 117:1995;102.
    • (1995) J. Comput. Phys. , vol.117 , pp. 102
    • Givoli, D.1    Cohen, D.2
  • 25
    • 0029292813 scopus 로고
    • Exact non-reflecting boundary conditions for the time dependent wave equation
    • Grote M. J., Keller J. B. Exact non-reflecting boundary conditions for the time dependent wave equation. SIAM J. Appl. Math. 55:1995;280.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 280
    • Grote, M.J.1    Keller, J.B.2
  • 26
    • 0026815499 scopus 로고
    • A spatially exact non-reflecting boundary condition for time dependent problems
    • Givoli D. A spatially exact non-reflecting boundary condition for time dependent problems. Comput. Meth. Appl. Mech. Eng. 95:1992;97.
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.95 , pp. 97
    • Givoli, D.1
  • 30
    • 85034302948 scopus 로고    scopus 로고
    • A numerical method for problems in infinite strips with irregularities extending to infinity
    • I. Patlashenko, D. Givoli, A numerical method for problems in infinite strips with irregularities extending to infinity, Num. Meth. Partial Differential Equations.
    • Num. Meth. Partial Differential Equations
    • Patlashenko, I.1    Givoli, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.