메뉴 건너뛰기




Volumn 22, Issue 2, 2005, Pages 95-107

Exact nonreflecting boundary conditions for exterior problems of the hyperbolic equation

Author keywords

Artificial boundary condition; Exterior problem; Hyperbolic equation; Time dependent; Unbounded domain

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD;

EID: 19044384334     PISSN: 1001246X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 2142739347 scopus 로고
    • Non-reflecting boundary conditions
    • Givoli D. Non-reflecting boundary conditions [J]. J Comput Phys, 1991, 94: 1-29.
    • (1991) J Comput Phys , vol.94 , pp. 1-29
    • Givoli, D.1
  • 2
    • 0343962036 scopus 로고
    • Canonical integral equations of elliptic boundary value problems and their numerical solutions
    • Beijing: Science Press
    • Feng K, Yu D H. Canonical integral equations of elliptic boundary value problems and their numerical solutions [A]. Proc of China-France Symposium on the FEM, Beijing: Science Press, 1982.
    • (1982) Proc of China-France Symposium on the FEM
    • Feng, K.1    Yu, D.H.2
  • 3
    • 0001957867 scopus 로고
    • Finite element method and natural boundary reduction
    • Warszawa Science Publishers Inc
    • Feng K. Finite element method and natural boundary reduction [A]. Proc of International Congress of Mathematicians, Warszawa Science Publishers Inc, 1983.
    • (1983) Proc of International Congress of Mathematicians
    • Feng, K.1
  • 4
    • 0000637294 scopus 로고
    • Approximation of infinite boundary condition and its application to finite element method
    • Han H D, Wu X N. Approximation of infinite boundary condition and its application to finite element method [J]. J Comput Math, 1985, 3: 179-192.
    • (1985) J Comput Math , vol.3 , pp. 179-192
    • Han, H.D.1    Wu, X.N.2
  • 5
    • 0001106057 scopus 로고
    • A new class of variational formulation for the coupling of finite and boundary element methods
    • Han H D. A new class of variational formulation for the coupling of finite and boundary element methods[J]. J Comput Math, 1990, 8: 223-232.
    • (1990) J Comput Math , vol.8 , pp. 223-232
    • Han, H.D.1
  • 6
    • 0000637292 scopus 로고
    • Approximation of boundary conditions at infinity for a harmonic equation
    • Yu D H. Approximation of boundary conditions at infinity for a harmonic equation [J]. J Comput Math, 1985, 3: 220-237.
    • (1985) J Comput Math , vol.3 , pp. 220-237
    • Yu, D.H.1
  • 8
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains
    • Tsynkov S V. Numerical solution of problems on unbounded domains [J]. Appl Numer Math, 1998, 27: 465-532.
    • (1998) Appl Numer Math , vol.27 , pp. 465-532
    • Tsynkov, S.V.1
  • 9
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • Engquist B, Majda A. Absorbing boundary conditions for the numerical simulation of waves [J]. Math Comp, 1977, 31: 629-651.
    • (1977) Math Comp , vol.31 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 10
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • Bayliss A, Turkel E. Radiation boundary conditions for wave-like equations [J]. Comm Pure Appl Math, 1980, 23: 707-725.
    • (1980) Comm Pure Appl Math , vol.23 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 11
    • 84966222177 scopus 로고
    • Absorbing boundary-conditions for difference approximations to the multidimensional wave-equation
    • Higdon R L. Absorbing boundary-conditions for difference approximations to the multidimensional wave-equation [J]. Math Comp, 1986, 47: 437-459.
    • (1986) Math Comp , vol.47 , pp. 437-459
    • Higdon, R.L.1
  • 12
    • 0001700219 scopus 로고
    • Exact boundary conditions for scattering problems
    • Ting L, Miksis M J. Exact boundary conditions for scattering problems [J]. J Acoust Soc Am, 1986, 80: 1825-1827.
    • (1986) J Acoust Soc Am , vol.80 , pp. 1825-1827
    • Ting, L.1    Miksis, M.J.2
  • 13
    • 0141850327 scopus 로고    scopus 로고
    • Exact boundary condition for time-dependent wave equation based on boundary integral
    • Teng Z H. Exact boundary condition for time-dependent wave equation based on boundary integral [J]. J Comput Phys, 2003, 190(2): 398-418.
    • (2003) J Comput Phys , vol.190 , Issue.2 , pp. 398-418
    • Teng, Z.H.1
  • 14
    • 0001025850 scopus 로고
    • Conditions for complete transparency on the sphere for the three-dimensional wave equation
    • Sofronov I L. Conditions for complete transparency on the sphere for the three-dimensional wave equation [J]. Russian Acad Sci Dokl Math, 1993, 46: 397-401.
    • (1993) Russian Acad Sci Dokl Math , vol.46 , pp. 397-401
    • Sofronov, I.L.1
  • 15
    • 0029292813 scopus 로고
    • Exact nonreflecting boundary conditions for the time dependent wave equation
    • Grote M J, Keller J B. Exact nonreflecting boundary conditions for the time dependent wave equation [J]. SIAM J Appl Math, 1995, 55: 280-297.
    • (1995) SIAM J Appl Math , vol.55 , pp. 280-297
    • Grote, M.J.1    Keller, J.B.2
  • 16
    • 0033708024 scopus 로고    scopus 로고
    • Exact nonreflecting boundary condition for elastic wave
    • Grote M J, Keller J B. Exact nonreflecting boundary condition for elastic wave [J]. SIAM J App Math, 2000, 60: 803-819.
    • (2000) SIAM J App Math , vol.60 , pp. 803-819
    • Grote, M.J.1    Keller, J.B.2
  • 17
    • 0000985886 scopus 로고    scopus 로고
    • Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation
    • Alpert B, Greengard L, Hagstrom T. Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation [J]. SIAM J Num Anal, 2000, 37: 1138-1164.
    • (2000) SIAM J Num Anal , vol.37 , pp. 1138-1164
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 18
    • 0742319150 scopus 로고    scopus 로고
    • The coupling of natural boundary element and finite element method for 2D hyperbolic equations
    • Yu D H. The coupling of natural boundary element and finite element method for 2D hyperbolic equations [J]. J Comput Math, 2003, 21(5): 585-594.
    • (2003) J Comput Math , vol.21 , Issue.5 , pp. 585-594
    • Yu, D.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.