메뉴 건너뛰기




Volumn 50, Issue 11, 2014, Pages 8736-8759

Probabilistic collocation method for strongly nonlinear problems: 2. Transform by displacement

Author keywords

probabilistic collocation method; strongly nonlinear problems; transform by displacement

Indexed keywords

MONTE CARLO METHODS; ONE DIMENSIONAL; SENSITIVITY ANALYSIS; SOLUTE TRANSPORT; UNCERTAINTY ANALYSIS;

EID: 84919660359     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/2014WR016238     Document Type: Article
Times cited : (19)

References (43)
  • 2
    • 0024055421 scopus 로고    scopus 로고
    • On the computation of motion from sequences of images - A review
    • Aggarwal, J. K., and, N. Nandhakumar, (1998), On the computation of motion from sequences of images-A review, Proc. IEEE, 76, 917-935, doi: 10.1109/5.5965.
    • (1998) Proc. IEEE , vol.76 , pp. 917-935
    • Aggarwal, J.K.1    Nandhakumar, N.2
  • 3
    • 34548216854 scopus 로고    scopus 로고
    • A stochastic collocation method for elliptic partial differential equations with random input data
    • Babuska, I., F. Nobile, and, R. Tempone, (2007), A stochastic collocation method for elliptic partial differential equations with random input data, SIAM J. Numer. Anal., 45 (3), 1005-1034.
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.3 , pp. 1005-1034
    • Babuska, I.1    Nobile, F.2    Tempone, R.3
  • 4
    • 2442715509 scopus 로고    scopus 로고
    • Convergence assessment of numerical Monte Carlo simulations in groundwater hydrology
    • Ballio, F., and, A. Guadagnini, (2004), Convergence assessment of numerical Monte Carlo simulations in groundwater hydrology, Water Resour. Res., 40, W04603, doi: 10.1029/2003WR002876.
    • (2004) Water Resour. Res. , vol.40 , pp. W04603
    • Ballio, F.1    Guadagnini, A.2
  • 6
    • 84869088124 scopus 로고    scopus 로고
    • On the propagation of statistical model parameter uncertainty in CFD calculations
    • Barth, T., (2012), On the propagation of statistical model parameter uncertainty in CFD calculations, Theor. Comput. Fluid Dyn., 26 (5), 435-457.
    • (2012) Theor. Comput. Fluid Dyn. , vol.26 , Issue.5 , pp. 435-457
    • Barth, T.1
  • 7
    • 0026167871 scopus 로고
    • Computing optical flow across multiple scales: An adaptive coarse-to-fine strategy
    • Battiti, R., E. Amaldi, and, C. Koch, (1991), Computing optical flow across multiple scales: An adaptive coarse-to-fine strategy, Int. J. Comput. Vision, 6, 133-145.
    • (1991) Int. J. Comput. Vision , vol.6 , pp. 133-145
    • Battiti, R.1    Amaldi, E.2    Koch, C.3
  • 9
    • 84876096254 scopus 로고    scopus 로고
    • Polynomial chaos expansion for global sensitivity analysis applied to a model of radionuclide migration in a randomly heterogeneous aquifer
    • Ciriello, V., V. Di Federico, M. Riva, F. Cadini, J. De Sanctis, E. Zio, and, A. Guadagnini, (2013), Polynomial chaos expansion for global sensitivity analysis applied to a model of radionuclide migration in a randomly heterogeneous aquifer, Stochastic Environ. Res. Risk Assess., 27 (4), 945-954.
    • (2013) Stochastic Environ. Res. Risk Assess. , vol.27 , Issue.4 , pp. 945-954
    • Ciriello, V.1    Di Federico, V.2    Riva, M.3    Cadini, F.4    De Sanctis, J.5    Zio, E.6    Guadagnini, A.7
  • 10
    • 84937193491 scopus 로고    scopus 로고
    • Efficient and accurate global sensitivity analysis for reservoir simulations using probabilistic collocation method
    • Dai, C., H. Li, and, D. Zhang, (2013), Efficient and accurate global sensitivity analysis for reservoir simulations using probabilistic collocation method, SPE J., 19 (4), 621-635, doi: 10.2118/167609-PA.
    • (2013) SPE J. , vol.19 , Issue.4 , pp. 621-635
    • Dai, C.1    Li, H.2    Zhang, D.3
  • 11
    • 79951778390 scopus 로고    scopus 로고
    • Use of global sensitivity analysis and polynomial chaos expansion for interpretation of nonreactive transport experiments in laboratory-scale porous media
    • Fajraoui, N., F. Ramasomanana, A. Younes, T. A. Mara, P. Ackerer, and, A. Guadagnini, (2011), Use of global sensitivity analysis and polynomial chaos expansion for interpretation of nonreactive transport experiments in laboratory-scale porous media, Water Resour. Res., 47, W02521, doi: 10.1029/2010WR009639.
    • (2011) Water Resour. Res. , vol.47 , pp. W02521
    • Fajraoui, N.1    Ramasomanana, F.2    Younes, A.3    Mara, T.A.4    Ackerer, P.5    Guadagnini, A.6
  • 12
    • 84872268573 scopus 로고    scopus 로고
    • Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model
    • Formaggia, L., A. Guadagnini, I. Imperiali, V. Lever, G. Porta, M. Riva, A. Scotti, and, L. Tamellini, (2013), Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model, Comput. Geosci., 17, 25-42, doi: 10.1007/s10596-012-9311-5.
    • (2013) Comput. Geosci. , vol.17 , pp. 25-42
    • Formaggia, L.1    Guadagnini, A.2    Imperiali, I.3    Lever, V.4    Porta, G.5    Riva, M.6    Scotti, A.7    Tamellini, L.8
  • 13
    • 0030190203 scopus 로고    scopus 로고
    • Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight
    • Genz, A., and, B. D. Keister, (1996), Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight, J. Comput. Appl. Math., 71, 299-309.
    • (1996) J. Comput. Appl. Math. , vol.71 , pp. 299-309
    • Genz, A.1    Keister, B.D.2
  • 15
    • 33645710033 scopus 로고    scopus 로고
    • Digital image correlation: From displacement measurement to identification of elastic properties - A review
    • Hild, F., and, S. Roux, (2006), Digital image correlation: From displacement measurement to identification of elastic properties-A review, Strain, 42, 69-80, doi: 10.1111/j.1475-1305.2006.00258.x.
    • (2006) Strain , vol.42 , pp. 69-80
    • Hild, F.1    Roux, S.2
  • 16
    • 67650779318 scopus 로고    scopus 로고
    • Determination of cellular tractions on elastic substrate based on an integral Boussinesq solution
    • Huang, J., X. Peng, L. Qin, T. Zhu, C. Xiong, Y. Zhang, and, J. Fang, (2009), Determination of cellular tractions on elastic substrate based on an integral Boussinesq solution, J. Biomech. Eng., 131, 061009, doi: 10.1115/1.3118767.
    • (2009) J. Biomech. Eng. , vol.131 , pp. 061009
    • Huang, J.1    Peng, X.2    Qin, L.3    Zhu, T.4    Xiong, C.5    Zhang, Y.6    Fang, J.7
  • 17
    • 0032102038 scopus 로고    scopus 로고
    • Stochastic response surface methods (SRSMs) for uncertainty propagation: Application to environmental and biological systems
    • Isukapalli, S. S., A. Roy, and, P. G. Georgopoulos, (1998), Stochastic response surface methods (SRSMs) for uncertainty propagation: Application to environmental and biological systems, Risk Anal., 18 (3), 351-363.
    • (1998) Risk Anal. , vol.18 , Issue.3 , pp. 351-363
    • Isukapalli, S.S.1    Roy, A.2    Georgopoulos, P.G.3
  • 20
    • 0036742814 scopus 로고    scopus 로고
    • A stochastic projection method for fluid flow: II. Random process
    • Le Maître, O., M. Reagan, H. Najm, R. Ghanem, and, O. Knio, (2002), A stochastic projection method for fluid flow: II. Random process, J. Comput. Phys., 181 (1), 9-44, doi: 10.1006/jcph.2002.7104.
    • (2002) J. Comput. Phys. , vol.181 , Issue.1 , pp. 9-44
    • Le Maître, O.1    Reagan, M.2    Najm, H.3    Ghanem, R.4    Knio, O.5
  • 21
    • 0002925011 scopus 로고
    • Fast normalized cross-correlation
    • Lewis, J. P., (1995), Fast normalized cross-correlation, Vision Interface, 10, 120-123.
    • (1995) Vision Interface , vol.10 , pp. 120-123
    • Lewis, J.P.1
  • 22
    • 35948933092 scopus 로고    scopus 로고
    • Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods
    • Li, H., and, D. Zhang, (2007), Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods, Water Resour. Res., 43, W09409, doi: 10.1029/2006WR005673.
    • (2007) Water Resour. Res. , vol.43 , pp. W09409
    • Li, H.1    Zhang, D.2
  • 23
    • 70349770723 scopus 로고    scopus 로고
    • Stochastic analysis of unsaturated flow with probabilistic collocation method
    • Li, W., Z. Lu, and, D. Zhang, (2009), Stochastic analysis of unsaturated flow with probabilistic collocation method, Water Resour. Res., 45, W08425, doi: 10.1029/2008WR007530.
    • (2009) Water Resour. Res. , vol.45 , pp. W08425
    • Li, W.1    Lu, Z.2    Zhang, D.3
  • 24
    • 84896714671 scopus 로고    scopus 로고
    • Probabilistic collocation method for strongly nonlinear problems: 1. Transform by location
    • Liao, Q., and, D. Zhang, (2013), Probabilistic collocation method for strongly nonlinear problems: 1. Transform by location, Water Resour. Res., 49, 7911-7928, doi: 10.1002/2013WR014055.
    • (2013) Water Resour. Res. , vol.49 , pp. 7911-7928
    • Liao, Q.1    Zhang, D.2
  • 25
    • 67349184303 scopus 로고    scopus 로고
    • An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media
    • Lin, G., and, A. M. Tartakovsky, (2009), An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media, Adv. Water Resour., 32 (5), 712-722.
    • (2009) Adv. Water Resour. , vol.32 , Issue.5 , pp. 712-722
    • Lin, G.1    Tartakovsky, A.M.2
  • 27
    • 80054756144 scopus 로고    scopus 로고
    • Probabilistic collocation and Lagrangian sampling for advective tracer transport in randomly heterogeneous porous media
    • Muller, F., P. Jenny, and, D. W. Meyer, (2011), Probabilistic collocation and Lagrangian sampling for advective tracer transport in randomly heterogeneous porous media, Adv. Water Resour., 34, 1527-1538.
    • (2011) Adv. Water Resour. , vol.34 , pp. 1527-1538
    • Muller, F.1    Jenny, P.2    Meyer, D.W.3
  • 28
    • 84855252066 scopus 로고    scopus 로고
    • Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology
    • Oladyshkin, S., F. P. J. de Barros, and, W. Nowak, (2012), Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology, Adv. Water Resour., 37, 10-22.
    • (2012) Adv. Water Resour. , vol.37 , pp. 10-22
    • Oladyshkin, S.1    De Barros, F.P.J.2    Nowak, W.3
  • 29
    • 34447100299 scopus 로고    scopus 로고
    • Dynamical stress characterization and energy evaluation of single cardiac myocyte actuating on flexible substrate
    • Qin, L., J. Huang, C. Xiong, Y. Zhang, and, J. Fang, (2007), Dynamical stress characterization and energy evaluation of single cardiac myocyte actuating on flexible substrate, Biochem. Biophys. Res. Commun., 360, 352-356.
    • (2007) Biochem. Biophys. Res. Commun. , vol.360 , pp. 352-356
    • Qin, L.1    Huang, J.2    Xiong, C.3    Zhang, Y.4    Fang, J.5
  • 30
    • 0034316470 scopus 로고    scopus 로고
    • Systematic errors in digital image correlation caused by intensity interpolation
    • Schreier, H. W., J. R. Braasch, and, M. A. Sutton, (2000), Systematic errors in digital image correlation caused by intensity interpolation, Opt. Eng., 39, 2915-2921.
    • (2000) Opt. Eng. , vol.39 , pp. 2915-2921
    • Schreier, H.W.1    Braasch, J.R.2    Sutton, M.A.3
  • 33
    • 0031392891 scopus 로고    scopus 로고
    • An efficient method for parametric uncertainty analysis of numerical geophysical models
    • Tatang, M. A., W. Pan, R. G. Prinn, and, G. J. McRae, (1997), An efficient method for parametric uncertainty analysis of numerical geophysical models, J. Geophys. Res., 102 (D18), 21,925-21,931.
    • (1997) J. Geophys. Res. , vol.102 , Issue.D18 , pp. 21
    • Tatang, M.A.1    Pan, W.2    Prinn, R.G.3    McRae, G.J.4
  • 34
    • 0024901867 scopus 로고
    • Review of motion analysis techniques
    • Vega-Riveros, J. F., and, K. Jabbour, (1989), Review of motion analysis techniques, Proc. IEEE, 136, 397-404.
    • (1989) Proc. IEEE , vol.136 , pp. 397-404
    • Vega-Riveros, J.F.1    Jabbour, K.2
  • 35
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • Wiener, N., (1938), The homogeneous chaos, Am. J. Math., 60, 897-936.
    • (1938) Am. J. Math. , vol.60 , pp. 897-936
    • Wiener, N.1
  • 36
    • 84861394267 scopus 로고    scopus 로고
    • Simplex stochastic collocation with random sampling and extrapolation for nonhypercube probability spaces
    • Witteveen, J. A., and, G. Iaccarino, (2012), Simplex stochastic collocation with random sampling and extrapolation for nonhypercube probability spaces, SIAM J. Sci. Stat. Comput., 34 (2), A814-A838.
    • (2012) SIAM J. Sci. Stat. Comput. , vol.34 , Issue.2 , pp. A814-A838
    • Witteveen, J.A.1    Iaccarino, G.2
  • 37
    • 34447270699 scopus 로고    scopus 로고
    • Efficient collocational approach for parametric uncertainty analysis
    • Xiu, D., (2007), Efficient collocational approach for parametric uncertainty analysis, Commun. Comput. Phys., 2 (2), 293-309.
    • (2007) Commun. Comput. Phys. , vol.2 , Issue.2 , pp. 293-309
    • Xiu, D.1
  • 39
    • 33646577797 scopus 로고    scopus 로고
    • High-order collocation methods for differential equations with random inputs
    • Xiu, D., and, J. S. Hesthaven, (2005), High-order collocation methods for differential equations with random inputs, SIAM J. Sci. Comput., 27 (3), 1118-1139.
    • (2005) SIAM J. Sci. Comput. , vol.27 , Issue.3 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.S.2
  • 40
    • 84855220967 scopus 로고    scopus 로고
    • A sparse grid based Bayesian method for contaminant source identification
    • Zeng, L., L. Shi, D. Zhang, and, L. Wu, (2012), A sparse grid based Bayesian method for contaminant source identification, Adv. Water Resour., 37, 1-9, doi: 10.1016/j.advwatres.2011.09.011.
    • (2012) Adv. Water Resour. , vol.37 , pp. 1-9
    • Zeng, L.1    Shi, L.2    Zhang, D.3    Wu, L.4
  • 43
    • 84886013387 scopus 로고    scopus 로고
    • An adaptive sparse-grid high-order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling
    • Zhang, G., D. Lu, M. Ye, M. Gunzburger, and, C. Webster, (2013), An adaptive sparse-grid high-order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling, Water Resour. Res., 49, 6871-6892, doi: 10.1002/wrcr.20467.
    • (2013) Water Resour. Res. , vol.49 , pp. 6871-6892
    • Zhang, G.1    Lu, D.2    Ye, M.3    Gunzburger, M.4    Webster, C.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.