메뉴 건너뛰기




Volumn 8, Issue 2, 2007, Pages 473-492

Homogenization in random media and effective medium theory for high frequency waves

Author keywords

High frequency waves; Homogenization; Random media

Indexed keywords


EID: 35248880150     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2007.8.473     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 33748438382 scopus 로고    scopus 로고
    • A multiscale finite element method for numerical homogenization
    • G. Allaire and R. Brizzi, A multiscale finite element method for numerical homogenization, Multiscale Model. Simul., 3 (2005), 790-812.
    • (2005) Multiscale Model. Simul , vol.3 , pp. 790-812
    • Allaire, G.1    Brizzi, R.2
  • 2
    • 0242508288 scopus 로고    scopus 로고
    • Self-averaging of Wigner transforms in random media
    • G. Bal, T. Komorowski and L. Ryzhik, Self-averaging of Wigner transforms in random media, Comm. Math. Phys., 242 (2003), 81-135.
    • (2003) Comm. Math. Phys , vol.242 , pp. 81-135
    • Bal, G.1    Komorowski, T.2    Ryzhik, L.3
  • 3
    • 0242452121 scopus 로고    scopus 로고
    • Self-averaging in time reversal for the parabolic wave equation
    • G. Bal, G. C. Papanicolaou and L. Ryzhik, Self-averaging in time reversal for the parabolic wave equation, Stochastics and Dynamics, 4 (2002), 507-531.
    • (2002) Stochastics and Dynamics , vol.4 , pp. 507-531
    • Bal, G.1    Papanicolaou, G.C.2    Ryzhik, L.3
  • 5
    • 0012407408 scopus 로고    scopus 로고
    • Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator
    • A. Bourgeat and A. Piatnitski, Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator, Asympt. Anal., 21 (1999), 303-315.
    • (1999) Asympt. Anal , vol.21 , pp. 303-315
    • Bourgeat, A.1    Piatnitski, A.2
  • 6
    • 13644268174 scopus 로고    scopus 로고
    • Analysis of the heterogeneous multiscale method for elliptic homogenization problems
    • W. E, P. Ming and P. Zhang, Analysis of the heterogeneous multiscale method for elliptic homogenization problems, J. Amer. Math. Soc., 1 (2005), 121-156.
    • (2005) J. Amer. Math. Soc , vol.1 , pp. 121-156
    • Ming, W.E.P.1    Zhang, P.2
  • 11
    • 0007120846 scopus 로고
    • The averaging of random operators
    • S. M. Kozlov, The averaging of random operators, Math. USSR Sb., 109 (1979), 188-202.
    • (1979) Math. USSR Sb , vol.109 , pp. 188-202
    • Kozlov, S.M.1
  • 13
    • 33750175405 scopus 로고    scopus 로고
    • Kinetic limit for wave propagation in a random medium
    • J. Lukkarinen and H. Spohn, Kinetic limit for wave propagation in a random medium, Arch. Ration. Mech. Anal., 183 (2007), 93-162.
    • (2007) Arch. Ration. Mech. Anal , vol.183 , pp. 93-162
    • Lukkarinen, J.1    Spohn, H.2
  • 15
    • 85039102212 scopus 로고    scopus 로고
    • G. C. Papanicolaou and S. R. S. Varadhan, Boundary value problems with rapidly oscillating random coefficients, in Random Fields, I, II (Esztergom, 1979), Colloq. Math. Soc. János Bolyai, 27, North Holland, New York, 1981, 835-873.
    • G. C. Papanicolaou and S. R. S. Varadhan, Boundary value problems with rapidly oscillating random coefficients, in "Random Fields," Vol. I, II (Esztergom, 1979), Colloq. Math. Soc. János Bolyai, 27, North Holland, New York, 1981, 835-873.
  • 16
    • 0030388835 scopus 로고    scopus 로고
    • Transport equations for elastic and other waves in random media
    • L. Ryzhik, G. C. Papanicolaou and J. B. Keller, Transport equations for elastic and other waves in random media, Wave Motion, 24 (1996), 327-370.
    • (1996) Wave Motion , vol.24 , pp. 327-370
    • Ryzhik, L.1    Papanicolaou, G.C.2    Keller, J.B.3
  • 17
    • 10644259628 scopus 로고
    • Averaging of symmetric diffusion in a random medium
    • V. V. Yurinskii, Averaging of symmetric diffusion in a random medium, Siberian Math. J., 4 (1986), 603-613.
    • (1986) Siberian Math. J , vol.4 , pp. 603-613
    • Yurinskii, V.V.1
  • 18
    • 85039087161 scopus 로고    scopus 로고
    • English translation of: Sibirsk. Mat. Zh., 27 (1986), 167-180 (Russian).
    • English translation of: Sibirsk. Mat. Zh., 27 (1986), 167-180 (Russian).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.