메뉴 건너뛰기




Volumn 58, Issue 13, 2003, Pages 1955-1983

Finite element analysis of time-dependent semi-infinite wave-guides with high-order boundary treatment

Author keywords

Artificial boundary; Auxiliary variables; Finite elements; Higdon; High order; Newmark; Non reflecting boundary condition; Waves

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0042838011     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.842     Document Type: Article
Times cited : (40)

References (48)
  • 4
    • 2142739347 scopus 로고
    • Non-reflecting boundary conditions: A review
    • Givoli D. Non-reflecting boundary conditions: a review. Journal of Computational Physics 1991; 94:1-29.
    • (1991) Journal of Computational Physics , vol.94 , pp. 1-29
    • Givoli, D.1
  • 6
    • 0342987707 scopus 로고
    • The boundary element method-Some early history: A personal view
    • Beskos DE (ed.). ASCE: New York
    • Rizzo FJ. The boundary element method-some early history: a personal view. In Boundary Elements in Structural Analysis, Beskos DE (ed.). ASCE: New York, 1989; 1-16.
    • (1989) Boundary Elements in Structural Analysis , pp. 1-16
    • Rizzo, F.J.1
  • 8
    • 0025421673 scopus 로고
    • Non-reflecting boundary conditions for elastic waves
    • Givoli D, Keller JB. Non-reflecting boundary conditions for elastic waves. Wave Motion 1990; 12:261-279.
    • (1990) Wave Motion , vol.12 , pp. 261-279
    • Givoli, D.1    Keller, J.B.2
  • 9
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Bérenger JP. A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 1994; 114:185-200.
    • (1994) Journal of Computational Physics , vol.114 , pp. 185-200
    • Bérenger, J.P.1
  • 10
    • 0028099393 scopus 로고
    • A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion
    • Burnett DS. A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion. Journal of the Acoustical Society of America 1994; 96:2798-2816.
    • (1994) Journal of the Acoustical Society of America , vol.96 , pp. 2798-2816
    • Burnett, D.S.1
  • 11
    • 0030123659 scopus 로고    scopus 로고
    • Transient wave envelope elements for wave problems
    • Astley RJ. Transient wave envelope elements for wave problems. Journal of Sound and Vibration 1996; 192: 245-261.
    • (1996) Journal of Sound and Vibration , vol.192 , pp. 245-261
    • Astley, R.J.1
  • 15
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains, a review
    • Tsynkov SV. Numerical solution of problems on unbounded domains, a review. Applied Numerical Mathematics 1998; 27:465-532.
    • (1998) Applied Numerical Mathematics , vol.27 , pp. 465-532
    • Tsynkov, S.V.1
  • 16
    • 0033221790 scopus 로고    scopus 로고
    • Exact representations on artificial interfaces and applications in mechanics
    • ASME
    • Givoli D. Exact representations on artificial interfaces and applications in mechanics. Applied Mechanics Reviews (ASME) 1999; 52:333-349.
    • (1999) Applied Mechanics Reviews , vol.52 , pp. 333-349
    • Givoli, D.1
  • 17
    • 85011457104 scopus 로고    scopus 로고
    • Radiation boundary conditions for the numerical simulation of waves
    • Hagstrom T. Radiation boundary conditions for the numerical simulation of waves. Acta Numerica 1999; 8: 47-106.
    • (1999) Acta Numerica , vol.8 , pp. 47-106
    • Hagstrom, T.1
  • 19
    • 0030209904 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for time dependent scattering
    • Grote MJ, Keller JB. Nonreflecting boundary conditions for time dependent scattering. Journal of Computational Physics 1996; 127:52-65.
    • (1996) Journal of Computational Physics , vol.127 , pp. 52-65
    • Grote, M.J.1    Keller, J.B.2
  • 20
    • 0001025850 scopus 로고
    • Conditions for complete transparency on the sphere for the three-dimensional wave equation
    • Sofronov IL. Conditions for Complete Transparency on the Sphere for the three-dimensional wave equation. Russian Academy of Sciences Doklady Mathematics 1993; 46:397-401.
    • (1993) Russian Academy of Sciences Doklady Mathematics , vol.46 , pp. 397-401
    • Sofronov, I.L.1
  • 21
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • Hagstrom T, Hariharan SI. A Formulation of Asymptotic and Exact Boundary Conditions Using Local Operators. Applied Numerical Mathematics 1998; 27;403-416.
    • (1998) Applied Numerical Mathematics , vol.27 , pp. 403-416
    • Hagstrom, T.1    Hariharan, S.I.2
  • 22
    • 0034345543 scopus 로고    scopus 로고
    • Continued-fraction absorbing boundary conditions for the wave equation
    • Guddati MN, Tassoulas JL. Continued-fraction absorbing boundary conditions for the wave equation. Journal of Computational Acoustic 2000; 8:139-156.
    • (2000) Journal of Computational Acoustic , vol.8 , pp. 139-156
    • Guddati, M.N.1    Tassoulas, J.L.2
  • 23
    • 0000797694 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions without high-order derivatives
    • Givoli D. High-order non-reflecting boundary conditions without high-order derivatives. Journal of Computational Physics 2001; 170:849-870.
    • (2001) Journal of Computational Physics , vol.170 , pp. 849-870
    • Givoli, D.1
  • 25
    • 0032137824 scopus 로고    scopus 로고
    • Absorbing PML boundary layers for wave-like equations
    • Turkel E, Yefet A. Absorbing PML boundary layers for wave-like equations. Applied Numerical Mathematics 1998; 27:533-557.
    • (1998) Applied Numerical Mathematics , vol.27 , pp. 533-557
    • Turkel, E.1    Yefet, A.2
  • 26
    • 0032203675 scopus 로고    scopus 로고
    • The perfectly matched layer in curvilinear coordinates
    • Collino F, Monk P. The perfectly matched layer in curvilinear coordinates. SIAM Journal of Scientific Computing 1998; 19:2061-2090.
    • (1998) SIAM Journal of Scientific Computing , vol.19 , pp. 2061-2090
    • Collino, F.1    Monk, P.2
  • 28
    • 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. Journal of Computational Physics 1995; 117:102-113.
    • (1995) Journal of Computational Physics , vol.117 , pp. 102-113
    • Givoli, D.1    Cohen, D.2
  • 29
    • 0031696423 scopus 로고    scopus 로고
    • Highly accurate non-reflecting boundary conditions for finite element simulations of transient acoustics problems
    • Safjan AJ. Highly accurate non-reflecting boundary conditions for finite element simulations of transient acoustics problems. Computer Methods in Applied Mechanics and Engineering 1998; 152:175-193.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.152 , pp. 175-193
    • Safjan, A.J.1
  • 30
    • 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. Computer Methods in Applied Mechanics and Engineering 1992; 95:97-113.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.95 , pp. 97-113
    • Givoli, D.1
  • 32
    • 0030171759 scopus 로고    scopus 로고
    • Space-time finite element method for structural acoustics in infinite domains. Part 2: Exact time-dependent non-reflecting boundary conditions
    • Thompson LL, Pinsky PM. Space-time finite element method for structural acoustics in infinite domains. Part 2: exact time-dependent non-reflecting boundary conditions. Computational Methods in Applied Mechanics and Engineering 1996; 132:229-258.
    • (1996) Computational Methods in Applied Mechanics and Engineering , vol.132 , pp. 229-258
    • Thompson, L.L.1    Pinsky, P.M.2
  • 33
    • 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. SIAM Journal on Numerical Analysis 2000; 37:1138-1164.
    • (2000) SIAM Journal on Numerical Analysis , vol.37 , pp. 1138-1164
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 35
    • 0033588430 scopus 로고    scopus 로고
    • Finite element formulation of exact nonreflecting boundary conditions for the time-dependent wave equation
    • Thompson LL, Huan R. Finite element formulation of exact nonreflecting boundary conditions for the time-dependent wave equation. International Journal for Numerical Methods in Engineering 1999; 45:1607-1630.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , pp. 1607-1630
    • Thompson, L.L.1    Huan, R.2
  • 36
    • 0033872244 scopus 로고    scopus 로고
    • Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains
    • Huan R, Thompson LL. Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains. International Journal for Numerical Methods in Engineering 2000; 47:1569-1603.
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , pp. 1569-1603
    • Huan, R.1    Thompson, L.L.2
  • 39
    • 0033417375 scopus 로고    scopus 로고
    • Recent advances in the DtN finite element method for unbounded domains
    • Givoli D. Recent advances in the DtN finite element method for unbounded domains. Archives of Computational Methods in Engineering 1999; 6:71-116.
    • (1999) Archives of Computational Methods in Engineering , vol.6 , pp. 71-116
    • Givoli, D.1
  • 43
    • 0028374972 scopus 로고
    • Radiation boundary conditions for dispersive waves
    • Higdon RL. Radiation boundary conditions for dispersive waves. SIAM Journal on Numerical Analysis 1994; 31:64-100.
    • (1994) SIAM Journal on Numerical Analysis , vol.31 , pp. 64-100
    • Higdon, R.L.1
  • 44
    • 0037370956 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions for dispersive waves
    • Givoli D, Neta B. High-order non-reflecting boundary conditions for dispersive waves. Wave Motion 2003; 37:257-271.
    • (2003) Wave Motion , vol.37 , pp. 257-271
    • Givoli, D.1    Neta, B.2
  • 45
    • 0037456944 scopus 로고    scopus 로고
    • High-order non-reflecting boundary scheme for time-dependent waves
    • Givoli D, Neta B. High-order non-reflecting boundary scheme for time-dependent waves. Journal of Computational Physics 2003; 186:24-46.
    • (2003) Journal of Computational Physics , vol.186 , pp. 24-46
    • Givoli, D.1    Neta, B.2
  • 47
    • 0001818026 scopus 로고
    • Symmetric linear multistep methods for second order differential equations with periodic solutions
    • Sommeijer BP, van der Houwen PJ, Neta B. Symmetric linear multistep methods for second order differential equations with periodic solutions. Applied Numerical Mathematics 1986; 2:69-77.
    • (1986) Applied Numerical Mathematics , vol.2 , pp. 69-77
    • Sommeijer, B.P.1    van der Houwen, P.J.2    Neta, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.