메뉴 건너뛰기




Volumn 230, Issue 20, 2011, Pages 7533-7547

The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios

Author keywords

Fast solver; Homogenization; Integral equation; Metamaterial; Random checkerboard

Indexed keywords

ACCURATE COMPUTATIONS; CONTRAST-RATIO; EFFECTIVE CONDUCTIVITY; EQUATION BASED; FAST COMPUTATION; FAST SOLVERS; HOMOGENIZATION; RANDOM CHECKERBOARD; RANDOM UNIT CELL; UNIT CELLS;

EID: 79961020934     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.05.032     Document Type: Article
Times cited : (27)

References (28)
  • 2
    • 77955704783 scopus 로고    scopus 로고
    • A nonlinear optimization procedure for generalized Gaussian quadratures
    • Bremer J., Gimbutas Z., Rokhlin V. A nonlinear optimization procedure for generalized Gaussian quadratures. SIAM J. Sci. Comput. 2010, 32:1761-1788.
    • (2010) SIAM J. Sci. Comput. , vol.32 , pp. 1761-1788
    • Bremer, J.1    Gimbutas, Z.2    Rokhlin, V.3
  • 3
    • 74449092330 scopus 로고    scopus 로고
    • Efficient discretization of Laplace boundary integral equations on polygonal domains
    • Bremer J., Rokhlin V. Efficient discretization of Laplace boundary integral equations on polygonal domains. J. Comput. Phys. 2010, 229:2507-2525.
    • (2010) J. Comput. Phys. , vol.229 , pp. 2507-2525
    • Bremer, J.1    Rokhlin, V.2
  • 4
    • 77956402080 scopus 로고    scopus 로고
    • Universal quadratures for boundary integral equations on two-dimensional domains with corners
    • Bremer J., Rokhlin V., Sammis I. Universal quadratures for boundary integral equations on two-dimensional domains with corners. J. Comput. Phys. 2010, 229:8259-8280.
    • (2010) J. Comput. Phys. , vol.229 , pp. 8259-8280
    • Bremer, J.1    Rokhlin, V.2    Sammis, I.3
  • 5
    • 65649154101 scopus 로고    scopus 로고
    • A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains
    • Bruno O.P., Oval J.S., Turc C. A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains. Computing 2009, 84:149-181.
    • (2009) Computing , vol.84 , pp. 149-181
    • Bruno, O.P.1    Oval, J.S.2    Turc, C.3
  • 6
    • 70350582844 scopus 로고    scopus 로고
    • Effective transport properties of random composites: continuum calculations versus mapping to a network
    • Chen Y., Schuh C.A. Effective transport properties of random composites: continuum calculations versus mapping to a network. Phys. Rev. E 2009, 80:040103.
    • (2009) Phys. Rev. E , vol.80 , pp. 040103
    • Chen, Y.1    Schuh, C.A.2
  • 7
    • 17644431835 scopus 로고    scopus 로고
    • Resonant behaviour of dielectric objects (electrostatic resonances)
    • Fredkin D.R., Mayergoyz I.D. Resonant behaviour of dielectric objects (electrostatic resonances). Phys. Rev. Lett. 2003, 91:253902.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 253902
    • Fredkin, D.R.1    Mayergoyz, I.D.2
  • 8
    • 84884378035 scopus 로고    scopus 로고
    • Numerical homogenization via approximation of the solution operator
    • Springer, Heidelberg, B. Engquist, O. Runborg, R. Tsai (Eds.) Numerical Analysis of Multiscale Computations
    • Gillman A., Young P., Martinsson P.G. Numerical homogenization via approximation of the solution operator. Lecture Notes Computer Science and Engineering 2011, vol. 82. Springer, Heidelberg. B. Engquist, O. Runborg, R. Tsai (Eds.).
    • (2011) Lecture Notes Computer Science and Engineering , vol.82
    • Gillman, A.1    Young, P.2    Martinsson, P.G.3
  • 9
    • 1342286503 scopus 로고    scopus 로고
    • Integral equation methods for Stokes flow in doubly-periodic domains
    • Greengard L., Kropinski M.C. Integral equation methods for Stokes flow in doubly-periodic domains. J. Eng. Math. 2004, 48:157-170.
    • (2004) J. Eng. Math. , vol.48 , pp. 157-170
    • Greengard, L.1    Kropinski, M.C.2
  • 10
    • 25444528976 scopus 로고    scopus 로고
    • Electrostatics and heat conduction in high contrast composite materials
    • Greengard L., Lee J.-Y. Electrostatics and heat conduction in high contrast composite materials. J. Comput. Phys. 2006, 211:64-76.
    • (2006) J. Comput. Phys. , vol.211 , pp. 64-76
    • Greengard, L.1    Lee, J.-Y.2
  • 11
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard L., Rokhlin V. A fast algorithm for particle simulations. J. Comput. Phys. 1987, 73:325-348.
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 12
    • 63649104740 scopus 로고    scopus 로고
    • Dispersive dielectric and conductive effects in 2D resistor-capacitor networks
    • Hamou R.F., Macdonald J.R., Tuncer E. Dispersive dielectric and conductive effects in 2D resistor-capacitor networks. J. Phys. Condens. Mater. 2009, 21:025904.
    • (2009) J. Phys. Condens. Mater. , vol.21 , pp. 025904
    • Hamou, R.F.1    Macdonald, J.R.2    Tuncer, E.3
  • 13
    • 70349745702 scopus 로고    scopus 로고
    • Integral equation methods for elliptic problems with boundary conditions of mixed type
    • Helsing J. Integral equation methods for elliptic problems with boundary conditions of mixed type. J. Comput. Phys. 2009, 228:8892-8907.
    • (2009) J. Comput. Phys. , vol.228 , pp. 8892-8907
    • Helsing, J.1
  • 14
    • 79952301334 scopus 로고    scopus 로고
    • A fast and stable solver for singular integral equations on piecewise smooth curves
    • Helsing J. A fast and stable solver for singular integral equations on piecewise smooth curves. SIAM J. Sci. Comput. 2011, 33:153-174.
    • (2011) SIAM J. Sci. Comput. , vol.33 , pp. 153-174
    • Helsing, J.1
  • 15
    • 78650568507 scopus 로고    scopus 로고
    • The effective conductivity of random checkerboards
    • Helsing J. The effective conductivity of random checkerboards. J. Comput. Phys. 2011, 230:1171-1181.
    • (2011) J. Comput. Phys. , vol.230 , pp. 1171-1181
    • Helsing, J.1
  • 16
    • 85189837124 scopus 로고    scopus 로고
    • Spectral super-resolution in metamaterial composites, New. J. Phys., submitted for publication, .
    • J. Helsing, R.C. McPhedran, G.W. Milton, Spectral super-resolution in metamaterial composites, New. J. Phys., submitted for publication, arxiv:1105.5012v1.
    • Helsing, J.1    McPhedran, R.C.2    Milton, G.W.3
  • 17
    • 50249139169 scopus 로고    scopus 로고
    • Corner singularities for elliptic problems: integral equations, graded meshes, quadrature, and compressed inverse preconditioning
    • Helsing J., Ojala R. Corner singularities for elliptic problems: integral equations, graded meshes, quadrature, and compressed inverse preconditioning. J. Comput. Phys. 2008, 227:8820-8840.
    • (2008) J. Comput. Phys. , vol.227 , pp. 8820-8840
    • Helsing, J.1    Ojala, R.2
  • 18
    • 70350102869 scopus 로고    scopus 로고
    • Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions
    • Helsing J., Ojala R. Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions. Int. J. Solids Struct. 2009, 46:4437-4450.
    • (2009) Int. J. Solids Struct. , vol.46 , pp. 4437-4450
    • Helsing, J.1    Ojala, R.2
  • 19
    • 0000115999 scopus 로고
    • The conductivity of a sheet containing inclusions with sharp corners
    • Hetherington J.H., Thorpe M.F. The conductivity of a sheet containing inclusions with sharp corners. Proc. R. Soc. Lond. A 1992, 438:591-604.
    • (1992) Proc. R. Soc. Lond. A , vol.438 , pp. 591-604
    • Hetherington, J.H.1    Thorpe, M.F.2
  • 20
    • 78149500376 scopus 로고    scopus 로고
    • New renormalization schemes for conductivity upscaling in heterogeneous media
    • Karim M.R., Krabbenhoft K. New renormalization schemes for conductivity upscaling in heterogeneous media. Transp. Porous Med. 2010, 85:677-690.
    • (2010) Transp. Porous Med. , vol.85 , pp. 677-690
    • Karim, M.R.1    Krabbenhoft, K.2
  • 21
    • 10844233237 scopus 로고    scopus 로고
    • An efficient Brownian motion simulation method for the conductivity of a digitalized composite medium
    • Kim I.C. An efficient Brownian motion simulation method for the conductivity of a digitalized composite medium. KSME Int. J. 2003, 17:545-561.
    • (2003) KSME Int. J. , vol.17 , pp. 545-561
    • Kim, I.C.1
  • 22
    • 53449092879 scopus 로고    scopus 로고
    • Pseudo-random-number generators and the square site percolation threshold
    • Lee M.J. Pseudo-random-number generators and the square site percolation threshold. Phys. Rev. E 2008, 78:031131.
    • (2008) Phys. Rev. E , vol.78 , pp. 031131
    • Lee, M.J.1
  • 23
    • 0041561062 scopus 로고    scopus 로고
    • Three-dimensional impedance networks for modelling frequency dependent electrical properties of composite materials
    • Mårtensson E., Gäfvert U. Three-dimensional impedance networks for modelling frequency dependent electrical properties of composite materials. J. Phys. D 2003, 36:1864-1872.
    • (2003) J. Phys. D , vol.36 , pp. 1864-1872
    • Mårtensson, E.1    Gäfvert, U.2
  • 26
    • 43249106524 scopus 로고    scopus 로고
    • Fracture in three-dimensional random fuse model: recent advances through high-performance computing
    • Nukala P.K.V.V., Simunovic S., Zapperi S., Alava M.J. Fracture in three-dimensional random fuse model: recent advances through high-performance computing. J. Comput. Aided Mater. 2007, 14:25-35.
    • (2007) J. Comput. Aided Mater. , vol.14 , pp. 25-35
    • Nukala, P.K.V.V.1    Simunovic, S.2    Zapperi, S.3    Alava, M.J.4
  • 27
    • 77952480760 scopus 로고    scopus 로고
    • Metamaterials and the homogenization of composite materials
    • Perrins W.T., McPhedran R.C. Metamaterials and the homogenization of composite materials. Metamaterials 2010, 4:24-31.
    • (2010) Metamaterials , vol.4 , pp. 24-31
    • Perrins, W.T.1    McPhedran, R.C.2
  • 28
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y., Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 1986, 7:856-869.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.