메뉴 건너뛰기




Volumn 3, Issue 4, 2006, Pages 741-777

A hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media

Author keywords

Hamiltonian preserving; High frequency elastic wave; Interface

Indexed keywords


EID: 34548683732     PISSN: 02198916     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219891606000999     Document Type: Article
Times cited : (27)

References (25)
  • 3
    • 0033363402 scopus 로고    scopus 로고
    • Transport theory for acoustic waves with reflection and transmission at interfaces
    • G. Bal, J. B. Keller, G. Papanicolaou and L. Ryzhik, Transport theory for acoustic waves with reflection and transmission at interfaces, Wave Motion 30 (1999) 303-327.
    • (1999) Wave Motion , vol.30 , pp. 303-327
    • Bal, G.1    Keller, J.B.2    Papanicolaou, G.3    Ryzhik, L.4
  • 5
    • 24644487123 scopus 로고    scopus 로고
    • Computational high frequency wave propagation
    • B. Engquist and O. Runborg, Computational high frequency wave propagation, Acta Numerica (2003) 181-266.
    • (2003) Acta Numerica , pp. 181-266
    • Engquist, B.1    Runborg, O.2
  • 6
    • 85066350297 scopus 로고    scopus 로고
    • Discretization of Dirac delta functions in level set methods
    • to appear in
    • B. Engquist, A. K. Tornberg and R. Tsai, Discretization of Dirac delta functions in level set methods, to appear in J. Comput. Phys.
    • J. Comput. Phys
    • Engquist, B.1    Tornberg, A.K.2    Tsai, R.3
  • 8
    • 34748823425 scopus 로고
    • The total internal reflection of SH waves
    • J. A. Hudson, The total internal reflection of SH waves, Geophys. J. Roy. Astr. Soc. 6 (1962) 509-531.
    • (1962) Geophys. J. Roy. Astr. Soc , vol.6 , pp. 509-531
    • Hudson, J.A.1
  • 9
    • 23944519965 scopus 로고    scopus 로고
    • Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems
    • S. Jin, H. L. Liu, S. Osher and R. Tsai, Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems, J. Comput. Phys. 210 (2005) 497-518.
    • (2005) J. Comput. Phys , vol.210 , pp. 497-518
    • Jin, S.1    Liu, H.L.2    Osher, S.3    Tsai, R.4
  • 10
    • 33644957151 scopus 로고    scopus 로고
    • Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials
    • S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials, Commun. Math. Sci. 3 (2005) 285-315.
    • (2005) Commun. Math. Sci , vol.3 , pp. 285-315
    • Jin, S.1    Wen, X.2
  • 11
    • 33644952544 scopus 로고    scopus 로고
    • Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
    • S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds, J. Comput. Phys. 214 (2006) 672-697.
    • (2006) J. Comput. Phys , vol.214 , pp. 672-697
    • Jin, S.1    Wen, X.2
  • 12
    • 34548672178 scopus 로고    scopus 로고
    • Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with transmissions and reflections
    • S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with transmissions and reflections, SIAM J. Num. Anal. 44 (2006) 1801-1828.
    • (2006) SIAM J. Num. Anal , vol.44 , pp. 1801-1828
    • Jin, S.1    Wen, X.2
  • 13
    • 33749590992 scopus 로고    scopus 로고
    • Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
    • S. Jin and X. Wen, Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation, Wave Motion 43(8) (2006) 667-688.
    • (2006) Wave Motion , vol.43 , Issue.8 , pp. 667-688
    • Jin, S.1    Wen, X.2
  • 14
  • 15
    • 84982345075 scopus 로고
    • The passage of elastic waves through an anomalous region - III. Transmission of obliquely incident body waves
    • E. R. Lapwood and J. A. Hudson, The passage of elastic waves through an anomalous region - III. Transmission of obliquely incident body waves, Geophys. J. Roy. Astr. Soc. 40 (1975) 255-268.
    • (1975) Geophys. J. Roy. Astr. Soc , vol.40 , pp. 255-268
    • Lapwood, E.R.1    Hudson, J.A.2
  • 17
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R. J. LeVeque and Z. L. Li, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer. Anal. 31 (1994) 1019-1044.
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 1019-1044
    • LeVeque, R.J.1    Li, Z.L.2
  • 18
    • 0000489884 scopus 로고    scopus 로고
    • The immersed interface method for acoustic wave equations with discontinuous coefficients
    • 27
    • R. J. LeVeque and C. M. Zhang, The immersed interface method for acoustic wave equations with discontinuous coefficients, Wave Motion 25(3) (1997) 237-263(27).
    • (1997) Wave Motion , vol.25 , Issue.3 , pp. 237-263
    • LeVeque, R.J.1    Zhang, C.M.2
  • 19
    • 0034148496 scopus 로고    scopus 로고
    • Refraction of high frequency waves density by sharp interfaces and semi-classical measures at the boundary
    • L. Miller, Refraction of high frequency waves density by sharp interfaces and semi-classical measures at the boundary, J. Math. Pures Appl. IX 79 (2000) 227-269.
    • (2000) J. Math. Pures Appl , vol.IX 79 , pp. 227-269
    • Miller, L.1
  • 20
    • 0039633327 scopus 로고
    • Reflection and transmission coefficients for plane waves in elastic media
    • M. Muskat and M. W. Meres, Reflection and transmission coefficients for plane waves in elastic media, Geophysics 5(2) (1940) 115-148.
    • (1940) Geophysics , vol.5 , Issue.2 , pp. 115-148
    • Muskat, M.1    Meres, M.W.2
  • 21
    • 0030530384 scopus 로고    scopus 로고
    • On positivity preserving finite volume schemes for Euler equations
    • B. Perthame and C. W. Shu, On positivity preserving finite volume schemes for Euler equations, Numer. Math. 73 (1996) 119-130.
    • (1996) Numer. Math , vol.73 , pp. 119-130
    • Perthame, B.1    Shu, C.W.2
  • 22
    • 0030388835 scopus 로고    scopus 로고
    • Transport equations for elastic and other waves in random media
    • L. Ryzhik, G. Papanicolaou and J. B. Keller, Transport equations for elastic and other waves in random media, Wave Motion 24(4) (1996) 327-370.
    • (1996) Wave Motion , vol.24 , Issue.4 , pp. 327-370
    • Ryzhik, L.1    Papanicolaou, G.2    Keller, J.B.3
  • 24
    • 84968519569 scopus 로고
    • 1-error estimate for monotone difference schemes
    • 1-error estimate for monotone difference schemes, Math. Comput. 64 210) (1995) 581-589.
    • (1995) Math. Comput , vol.64 , Issue.210 , pp. 581-589
    • Tang, T.1    Teng, Z.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.