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Volumn 51, Issue 2, 2015, Pages 1315-1332

Impact of space-time mesh adaptation on solute transport modeling in porous media

Author keywords

mesh adaptation; model calibration; porous media; solute transport; time step adaptation; uncertainty quantification

Indexed keywords

ADVECTION; ANISOTROPY; MAXIMUM LIKELIHOOD; MAXIMUM LIKELIHOOD ESTIMATION; NON NEWTONIAN FLOW; POLYNOMIALS; POROUS MATERIALS; SOLUTE TRANSPORT; UNCERTAINTY ANALYSIS;

EID: 84924690127     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/2014WR016569     Document Type: Article
Times cited : (14)

References (64)
  • 2
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • Becker, R., and, R. Rannacher, (2001), An optimal control approach to a posteriori error estimation in finite element methods, Acta Numer., 10, 1-102, doi: 10.1017/S0962492901000010.
    • (2001) Acta Numer. , vol.10 , pp. 1-102
    • Becker, R.1    Rannacher, R.2
  • 3
    • 68349149442 scopus 로고    scopus 로고
    • Adaptive finite element methods for PDE-constrained optimal control problems
    • in, edited by W. Jäger, R. Rannacher, and J. Warnatz, Springer Berlin Heidelberg, doi: 10.1007/978-3-540-28396-6-8.
    • Becker, R., M. Braack, D. Meidner, R. Rannacher, and, B. Vexler, (2007), Adaptive finite element methods for PDE-constrained optimal control problems, in Reactive Flows, Diffusion and Transport, edited by W. Jäger, R. Rannacher, and J. Warnatz, pp. 177-205, Springer Berlin Heidelberg, doi: 10.1007/978-3-540-28396-6-8.
    • (2007) Reactive Flows, Diffusion and Transport , pp. 177-205
    • Becker, R.1    Braack, M.2    Meidner, D.3    Rannacher, R.4    Vexler, B.5
  • 4
    • 33845247896 scopus 로고    scopus 로고
    • Modeling non-Fickian transport in geological formations as a continuous time random walk
    • Berkowitz, B., A. Cortis, M. Dentz, and, H. Scher, (2006), Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44, RG2003, doi: 10.1029/2005RG000178.
    • (2006) Rev. Geophys. , vol.44 , pp. RG2003
    • Berkowitz, B.1    Cortis, A.2    Dentz, M.3    Scher, H.4
  • 6
    • 84865320608 scopus 로고    scopus 로고
    • A finite volume approach with local adaptation scheme for the simulation of free surface flow in porous media
    • Bresciani, E., P. Davy, and, J. Dreuzy, (2012), A finite volume approach with local adaptation scheme for the simulation of free surface flow in porous media, Int. J. Numer. Anal. Methods Geomech., 36 (13), 1574-1591, doi: 10.1002/nag.1065.
    • (2012) Int. J. Numer. Anal. Methods Geomech. , vol.36 , Issue.13 , pp. 1574-1591
    • Bresciani, E.1    Davy, P.2    Dreuzy, J.3
  • 8
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks, A. N., and, T. J. Hughes, (1982), Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Eng., 32 (1), 199-259, doi: 10.1016/0045-7825(82)90071-8.
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.32 , Issue.1 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.2
  • 9
    • 0033617556 scopus 로고    scopus 로고
    • Adaptive-grid simulation of groundwater flow in heterogeneous aquifers
    • Cao, J., and, P. K. Kitanidis, (1999), Adaptive-grid simulation of groundwater flow in heterogeneous aquifers, Adv. Water Res., 22 (7), 681-696, doi: 10.1016/S0309-1708(98)00047-5.
    • (1999) Adv. Water Res. , vol.22 , Issue.7 , pp. 681-696
    • Cao, J.1    Kitanidis, P.K.2
  • 10
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information
    • Carrera, J., and, S. P. Neuman, (1986), Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information, Water Resour. Res., 22 (2), 199-210, doi: 10.1029/WR022i002p00199.
    • (1986) Water Resour. Res. , vol.22 , Issue.2 , pp. 199-210
    • Carrera, J.1    Neuman, S.P.2
  • 11
    • 84883271848 scopus 로고    scopus 로고
    • Comparative analysis of formulations for conservative transport in porous media through sensitivity-based parameter calibration
    • Ciriello, V., A. Guadagnini, V. Di Federico, Y. Edery, and, B. Berkowitz, (2013a), Comparative analysis of formulations for conservative transport in porous media through sensitivity-based parameter calibration, Water Resour. Res., 49, 5206-5220, doi: 10.1002/wrcr.20395.
    • (2013) Water Resour. Res. , vol.49 , pp. 5206-5220
    • Ciriello, V.1    Guadagnini, A.2    Di Federico, V.3    Edery, Y.4    Berkowitz, B.5
  • 12
    • 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, (2013b), 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, doi: 10.1007/s00477-012-0616-7.
    • (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
  • 13
    • 84884277462 scopus 로고    scopus 로고
    • Solution of high-Reynolds incompressible flow with stabilized finite element and adaptive anisotropic meshing
    • Coupez, T., and, E. Hachem, (2013), Solution of high-Reynolds incompressible flow with stabilized finite element and adaptive anisotropic meshing, Comput. Methods Appl. Mech. Eng., 267, 65-85, doi: 10.1016/j.cma.2013.08.004.
    • (2013) Comput. Methods Appl. Mech. Eng. , vol.267 , pp. 65-85
    • Coupez, T.1    Hachem, E.2
  • 14
    • 85031814433 scopus 로고    scopus 로고
    • Anisotropic mesh and time step adaptivity for solute transport modeling in porous media
    • edited by L. Formaggia and S. Perotto, SEMA SIMAI Springer Series, 5, Springer Milan, doi: 10.1007/978-3-319-06053-8, in press
    • Esfandiar, B., G. Porta, S. Perotto, and, A. Guadagnini, (2014), Anisotropic mesh and time step adaptivity for solute transport modeling in porous media, in New Challenges in Grid Generation and Adaptivity for Scientific Computing, edited by L. Formaggia and S. Perotto, SEMA SIMAI Springer Series, vol. 5, Springer Milan, doi: 10.1007/978-3-319-06053-8, in press.
    • (2014) New Challenges in Grid Generation and Adaptivity for Scientific Computing
    • Esfandiar, B.1    Porta, G.2    Perotto, S.3    Guadagnini, A.4
  • 15
    • 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
  • 16
    • 84865453342 scopus 로고    scopus 로고
    • Reactive transport parameter estimation and global sensitivity analysis using sparse polynomial chaos expansion
    • Fajraoui, N., T. A. Mara, A. Younes, and, R. Bouhlila, (2012), Reactive transport parameter estimation and global sensitivity analysis using sparse polynomial chaos expansion, Water Air Soil Pollut., 223 (7), 4183-4197, doi: 10.1007/s11270-012-1183-8.
    • (2012) Water Air Soil Pollut. , vol.223 , Issue.7 , pp. 4183-4197
    • Fajraoui, N.1    Mara, T.A.2    Younes, A.3    Bouhlila, R.4
  • 17
    • 78751484002 scopus 로고    scopus 로고
    • An anisotropic Zienkiewicz-Zhu-type error estimator for 3d applications
    • Farrell, P., S. Micheletti, and, S. Perotto, (2011), An anisotropic Zienkiewicz-Zhu-type error estimator for 3d applications, Int. J. Numer. Methods Eng., 85 (6), 671-692, doi: 10.1002/nme.2980.
    • (2011) Int. J. Numer. Methods Eng. , vol.85 , Issue.6 , pp. 671-692
    • Farrell, P.1    Micheletti, S.2    Perotto, S.3
  • 18
    • 0035602908 scopus 로고    scopus 로고
    • New anisotropic a priori error estimates
    • Formaggia, L., and, S. Perotto, (2001), New anisotropic a priori error estimates, Numer. Math., 89 (4), 641-667, doi: 10.1007/s002110100273.
    • (2001) Numer. Math. , vol.89 , Issue.4 , pp. 641-667
    • Formaggia, L.1    Perotto, S.2
  • 19
    • 0142118651 scopus 로고    scopus 로고
    • Anisotropic error estimates for elliptic problems
    • Formaggia, L., and, S. Perotto, (2003), Anisotropic error estimates for elliptic problems, Numer. Math., 94 (1), 67-92, doi: 10.1007/s00211-002-0415-z.
    • (2003) Numer. Math. , vol.94 , Issue.1 , pp. 67-92
    • Formaggia, L.1    Perotto, S.2
  • 20
    • 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 (1), 25-42, doi: 10.1007/s10596-012-9311-5.
    • (2013) Comput. Geosci. , vol.17 , Issue.1 , 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
  • 21
    • 84867472918 scopus 로고    scopus 로고
    • Sensitivity analysis of a combined groundwater flow and solute transport model using local-grid refinement: A case study
    • Gedeon, M., and, D. Mallants, (2012), Sensitivity analysis of a combined groundwater flow and solute transport model using local-grid refinement: A case study, Math. Geosci., 44 (7), 881-899, doi: 10.1007/s11004-012-9416-3.
    • (2012) Math. Geosci. , vol.44 , Issue.7 , pp. 881-899
    • Gedeon, M.1    Mallants, D.2
  • 22
    • 44649136283 scopus 로고    scopus 로고
    • Integration of local-global upscaling and grid adaptivity for simulation of subsurface flow in heterogeneous formations
    • Gerritsen, M., and, J. Lambers, (2008), Integration of local-global upscaling and grid adaptivity for simulation of subsurface flow in heterogeneous formations, Comput. Geosci., 12 (2), 193-208, doi: 10.1007/s10596-007-9078-2.
    • (2008) Comput. Geosci. , vol.12 , Issue.2 , pp. 193-208
    • Gerritsen, M.1    Lambers, J.2
  • 23
    • 0034502674 scopus 로고    scopus 로고
    • On the late-time behavior of tracer test breakthrough curves
    • Haggerty, R., S. A. McKenna, and, L. C. Meigs, (2000), On the late-time behavior of tracer test breakthrough curves, Water Resour. Res., 36 (12), 3467-3479, doi: 10.1029/2000WR900214.
    • (2000) Water Resour. Res. , vol.36 , Issue.12 , pp. 3467-3479
    • Haggerty, R.1    McKenna, S.A.2    Meigs, L.C.3
  • 24
    • 84877994136 scopus 로고    scopus 로고
    • New development in Freefem++
    • Hecht, F., (2012), New development in Freefem++, J. Numer. Math., 20 (3-4), 251-266, doi: 10.1515/jnum-2012-0013.
    • (2012) J. Numer. Math. , vol.20 , Issue.34 , pp. 251-266
    • Hecht, F.1
  • 25
    • 84920531663 scopus 로고    scopus 로고
    • Adaptive moving mesh modeling for two dimensional groundwater flow and transport
    • in, Am. Math. Soc. Providence, R. I.
    • Huang, W., and, X. Zhan, (2005), Adaptive moving mesh modeling for two dimensional groundwater flow and transport, in AMS Contemporary Mathematics, vol. 383, pp. 239-252, Am. Math. Soc., Providence, R. I.
    • (2005) AMS Contemporary Mathematics , vol.383 , pp. 239-252
    • Huang, W.1    Zhan, X.2
  • 26
    • 0037186324 scopus 로고    scopus 로고
    • Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow
    • Kavetski, D., P. Binning, and, S. W. Sloan, (2002), Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow, Int. J. Numer. Methods Eng., 53 (6), 1301-1322, doi: 10.1002/nme.329.
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , Issue.6 , pp. 1301-1322
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 27
    • 0029656704 scopus 로고    scopus 로고
    • A moving mesh algorithm for 3-d regional groundwater flow with water table and seepage face
    • Knupp, P., (1996), A moving mesh algorithm for 3-d regional groundwater flow with water table and seepage face, Adv. Water Res., 19 (2), 83-95, doi: 10.1016/0309-1708(95)00033-X.
    • (1996) Adv. Water Res. , vol.19 , Issue.2 , pp. 83-95
    • Knupp, P.1
  • 28
    • 0032251894 scopus 로고    scopus 로고
    • Convergence properties of the Nelder-Mead simplex method in low dimensions
    • Lagarias, J. C., J. A. Reeds, M. H. Wright, and, P. E. Wright, (1998), Convergence properties of the Nelder-Mead simplex method in low dimensions, SIAM J. Optim., 9 (1), 112-147, doi: 10.1137/S1052623496303470.
    • (1998) SIAM J. Optim. , vol.9 , Issue.1 , pp. 112-147
    • Lagarias, J.C.1    Reeds, J.A.2    Wright, M.H.3    Wright, P.E.4
  • 29
    • 0038580683 scopus 로고    scopus 로고
    • Measurement and analysis of non-Fickian dispersion in heterogeneous porous media
    • Levy, M., and, B. Berkowitz, (2003), Measurement and analysis of non-Fickian dispersion in heterogeneous porous media, J. Contam. Hydrol., 64 (3), 203-226, doi: 10.1016/S0169-7722(02)00204-8.
    • (2003) J. Contam. Hydrol. , vol.64 , Issue.3 , pp. 203-226
    • Levy, M.1    Berkowitz, B.2
  • 31
    • 26844574243 scopus 로고    scopus 로고
    • Adaptive grid refinement in numerical models for water flow and chemical transport in soil
    • Mansell, R., L. Ma, L. Ahuja, and, S. Bloom, (2002), Adaptive grid refinement in numerical models for water flow and chemical transport in soil, Vadose Zone J., 1 (2), 222-238, doi: 10.2136/vzj2002.2220.
    • (2002) Vadose Zone J. , vol.1 , Issue.2 , pp. 222-238
    • Mansell, R.1    Ma, L.2    Ahuja, L.3    Bloom, S.4
  • 32
    • 0037200458 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for Darcy flow
    • Masud, A., and, T. J. Hughes, (2002), A stabilized mixed finite element method for Darcy flow, Comput. Methods Appl. Mech. Eng., 191 (39), 4341-4370, doi: 10.1016/S0045-7825(02)00371-7.
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , Issue.39 , pp. 4341-4370
    • Masud, A.1    Hughes, T.J.2
  • 33
    • 0036577404 scopus 로고    scopus 로고
    • Development and evaluation of a local grid refinement method for block-centered finite-difference groundwater models using shared nodes
    • Mehl, S., and, M. C. Hill, (2002), Development and evaluation of a local grid refinement method for block-centered finite-difference groundwater models using shared nodes, Adv. Water Res., 25 (5), 497-511, doi: 10.1016/S0309-1708(02)00021-0.
    • (2002) Adv. Water Res. , vol.25 , Issue.5 , pp. 497-511
    • Mehl, S.1    Hill, M.C.2
  • 34
    • 61749090553 scopus 로고    scopus 로고
    • Anisotropic mesh adaption for time-dependent problems
    • Micheletti, S., and, S. Perotto, (2008), Anisotropic mesh adaption for time-dependent problems, Int. J. Numer. Methods Fluids, 58 (9), 1009-1015, doi: 10.1002/fld.1597.
    • (2008) Int. J. Numer. Methods Fluids , vol.58 , Issue.9 , pp. 1009-1015
    • Micheletti, S.1    Perotto, S.2
  • 35
    • 70350325283 scopus 로고    scopus 로고
    • Space-time adaptation for purely diffusive problems in an anisotropic framework
    • Micheletti, S., and, S. Perotto, (2010a), Space-time adaptation for purely diffusive problems in an anisotropic framework, Int. J. Numer. Anal. Model, 7 (1), 125-155.
    • (2010) Int. J. Numer. Anal. Model , vol.7 , Issue.1 , pp. 125-155
    • Micheletti, S.1    Perotto, S.2
  • 36
    • 84865377673 scopus 로고    scopus 로고
    • Anisotropic adaptation via a Zienkiewicz-Zhu error estimator for 2d elliptic problems
    • in, edited by G. Kreiss, P. Lötstedt, A. Målqvist, and M. Neytcheva, Springer Berlin Heidelberg, doi: 10.1007/978-3-642-11795-4-69.
    • Micheletti, S., and, S. Perotto, (2010b), Anisotropic adaptation via a Zienkiewicz-Zhu error estimator for 2d elliptic problems, in Numerical Mathematics and Advanced Applications 2009, edited by G. Kreiss, P. Lötstedt, A. Målqvist, and M. Neytcheva, pp. 645-653, Springer Berlin Heidelberg, doi: 10.1007/978-3-642-11795-4-69.
    • (2010) Numerical Mathematics and Advanced Applications 2009 , pp. 645-653
    • Micheletti, S.1    Perotto, S.2
  • 37
    • 85104394787 scopus 로고    scopus 로고
    • A recovery-based error estimator for anisotropic mesh adaptation in CFD
    • Micheletti, S., S. Perotto, and, P. Farrell, (2010), A recovery-based error estimator for anisotropic mesh adaptation in CFD, SeMA J., 50 (1), 115-137, doi: 10.1007/BF03322545.
    • (2010) SeMA J. , vol.50 , Issue.1 , pp. 115-137
    • Micheletti, S.1    Perotto, S.2    Farrell, P.3
  • 38
    • 84879967849 scopus 로고    scopus 로고
    • A recovery-based error estimate for nonconforming finite volume methods of interface problems
    • Mu, L., and, R. Jari, (2013), A recovery-based error estimate for nonconforming finite volume methods of interface problems, Appl. Math. Comput., 220, 63-74, doi: 10.1016/j.amc.2013.05.034.
    • (2013) Appl. Math. Comput. , vol.220 , pp. 63-74
    • Mu, L.1    Jari, R.2
  • 39
    • 85040687849 scopus 로고    scopus 로고
    • Impact of numerical artifact of the forward model in the inverse solution of density-dependent flow problem
    • Nassar, M. K., and, T. R. Ginn, (2014), Impact of numerical artifact of the forward model in the inverse solution of density-dependent flow problem, Water Resour. Res., 50, 6322-6338, doi: 10.1002/2013WR014672.
    • (2014) Water Resour. Res. , vol.50 , pp. 6322-6338
    • Nassar, M.K.1    Ginn, T.R.2
  • 40
    • 84864994889 scopus 로고    scopus 로고
    • Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion
    • Oladyshkin, S., and, W. Nowak, (2012), Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion, Reliab. Eng. Syst. Safety, 106 (10), 179-190, doi: 10.1016/j.ress.2012.05.002.
    • (2012) Reliab. Eng. Syst. Safety , vol.106 , Issue.10 , pp. 179-190
    • Oladyshkin, S.1    Nowak, W.2
  • 41
    • 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 Res., 37 (3), 10-22, doi: 10.1016/j.advwatres.2011.11.001.
    • (2012) Adv. Water Res. , vol.37 , Issue.3 , pp. 10-22
    • Oladyshkin, S.1    De Barros, F.P.J.2    Nowak, W.3
  • 42
    • 84864397200 scopus 로고    scopus 로고
    • Robust grid adaptation for efficient uncertainty quantification
    • Palacios, F., K. Duraisamy, J. J. Alonso, and, E. Zuazua, (2012), Robust grid adaptation for efficient uncertainty quantification, AIAA J., 50 (7), 1538-1546, doi: 10.2514/1.J051379.
    • (2012) AIAA J. , vol.50 , Issue.7 , pp. 1538-1546
    • Palacios, F.1    Duraisamy, K.2    Alonso, J.J.3    Zuazua, E.4
  • 43
    • 84980219118 scopus 로고
    • An adaptive finite-element model for calculating subsurface transport of contaminant
    • Pepper, D., and, D. Stephenson, (1995), An adaptive finite-element model for calculating subsurface transport of contaminant, Ground Water, 33 (3), 486-496, doi: 10.1111/j.1745-6584.1995.tb00305.x.
    • (1995) Ground Water , vol.33 , Issue.3 , pp. 486-496
    • Pepper, D.1    Stephenson, D.2
  • 45
    • 84865400855 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation driven by a recovery-based error estimator for shallow water flow modeling
    • Porta, G., S. Perotto, and, F. Ballio, (2012a), Anisotropic mesh adaptation driven by a recovery-based error estimator for shallow water flow modeling, Int. J. Numer. Methods Fluids, 70 (3), 269-299, doi: 10.1002/fld.2688.
    • (2012) Int. J. Numer. Methods Fluids , vol.70 , Issue.3 , pp. 269-299
    • Porta, G.1    Perotto, S.2    Ballio, F.3
  • 46
    • 84868487600 scopus 로고    scopus 로고
    • A space-time adaptation scheme for unsteady shallow water problems
    • Porta, G., S. Perotto, and, F. Ballio, (2012b), A space-time adaptation scheme for unsteady shallow water problems, Math. Comput. Simul., 82 (12), 2929-2950, doi: 10.1016/j.matcom.2011.06.004.
    • (2012) Math. Comput. Simul. , vol.82 , Issue.12 , pp. 2929-2950
    • Porta, G.1    Perotto, S.2    Ballio, F.3
  • 47
    • 84877994583 scopus 로고    scopus 로고
    • Upscaling solute transport in porous media from the pore scale to dual-and multicontinuum formulations
    • Porta, G., S. Chaynikov, M. Riva, and, A. Guadagnini, (2013), Upscaling solute transport in porous media from the pore scale to dual-and multicontinuum formulations, Water Resour. Res., 49, 2025-2039, doi: 10.1002/wrcr.20183.
    • (2013) Water Resour. Res. , vol.49 , pp. 2025-2039
    • Porta, G.1    Chaynikov, S.2    Riva, M.3    Guadagnini, A.4
  • 48
    • 85027919651 scopus 로고    scopus 로고
    • Inverse modeling of geochemical and mechanical compaction in sedimentary basins through Polynomial Chaos Expansion
    • Porta, G., L. Tamellini, V. Lever, and, M. Riva, (2014), Inverse modeling of geochemical and mechanical compaction in sedimentary basins through Polynomial Chaos Expansion, Water Resour. Res., 50, 9414-9431, doi: 10.1002/2014WR015838.
    • (2014) Water Resour. Res. , vol.50 , pp. 9414-9431
    • Porta, G.1    Tamellini, L.2    Lever, V.3    Riva, M.4
  • 50
    • 2942737221 scopus 로고    scopus 로고
    • Mass balance errors when solving the convective form of the transport equation in transient flow problems
    • Saaltink, M. W., J. Carrera, and, S. Olivella, (2004), Mass balance errors when solving the convective form of the transport equation in transient flow problems, Water Resour. Res., 40, W05107, doi: 10.1029/2003WR002866.
    • (2004) Water Resour. Res. , vol.40 , pp. W05107
    • Saaltink, M.W.1    Carrera, J.2    Olivella, S.3
  • 51
    • 0000627182 scopus 로고
    • General theory of dispersion in porous media
    • Scheidegger, A. E., (1961), General theory of dispersion in porous media, J. Geophys. Res., 66 (10), 3273-3278, doi: 10.1029/JZ066i010p03273.
    • (1961) J. Geophys. Res. , vol.66 , Issue.10 , pp. 3273-3278
    • Scheidegger, A.E.1
  • 52
    • 55549141189 scopus 로고    scopus 로고
    • Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations
    • Schmich, M., and, B. Vexler, (2008), Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations, SIAM J. Sci. Comput., 30 (1), 369-393, doi: 10.1137/060670468.
    • (2008) SIAM J. Sci. Comput. , vol.30 , Issue.1 , pp. 369-393
    • Schmich, M.1    Vexler, B.2
  • 53
    • 0034926426 scopus 로고    scopus 로고
    • Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
    • Sobol, I. M., (2001), Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates, Math. Comput. Simul., 55 (1-3), 271-280, doi: 10.1016/S0378-4754(00)00270-6.
    • (2001) Math. Comput. Simul. , vol.55 , Issue.13 , pp. 271-280
    • Sobol, I.M.1
  • 54
    • 39849107510 scopus 로고    scopus 로고
    • Global sensitivity analysis using polynomial chaos expansions
    • Sudret, B., (2008), Global sensitivity analysis using polynomial chaos expansions, Reliab. Eng. Syst. Safety, 93 (7), 964-979, doi: 10.1016/j.ress.2007.04.002.
    • (2008) Reliab. Eng. Syst. Safety , vol.93 , Issue.7 , pp. 964-979
    • Sudret, B.1
  • 55
    • 33646102214 scopus 로고    scopus 로고
    • Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport
    • Sun, S., and, M. F. Wheeler, (2006), Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport, Comput. Methods Appl. Mech. Eng., 195 (25), 3382-3405, doi: 10.1016/j.cma.2005.06.019.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , Issue.25 , pp. 3382-3405
    • Sun, S.1    Wheeler, M.F.2
  • 57
    • 0037408312 scopus 로고    scopus 로고
    • Modeling uncertainty in flow simulations via generalized polynomial chaos
    • Xiu, D., and, G. E. Karniadakis, (2003), Modeling uncertainty in flow simulations via generalized polynomial chaos, J. Comput. Phys., 187 (1), 137-167, doi: 10.1016/S0021-9991(03)00092-5.
    • (2003) J. Comput. Phys. , vol.187 , Issue.1 , pp. 137-167
    • Xiu, D.1    Karniadakis, G.E.2
  • 58
    • 0035564956 scopus 로고    scopus 로고
    • A posteriori error estimators of gradient recovery type for elliptic obstacle problems
    • Yan, N., (2001), A posteriori error estimators of gradient recovery type for elliptic obstacle problems, Adv. Comput. Math., 15 (1-4), 333-361, doi: 10.1023/A:1014284306804.
    • (2001) Adv. Comput. Math. , vol.15 , Issue.14 , pp. 333-361
    • Yan, N.1
  • 59
    • 19044370017 scopus 로고    scopus 로고
    • Solving the advection-diffusion equation with the Eulerian-Lagrangian localized adjoint method on unstructured meshes and non uniform time stepping
    • Younes, A., and, P. Ackerer, (2005), Solving the advection-diffusion equation with the Eulerian-Lagrangian localized adjoint method on unstructured meshes and non uniform time stepping, J. Comput. Phys., 208 (1), 384-402, doi: 10.1016/j.jcp.2005.02.019.
    • (2005) J. Comput. Phys. , vol.208 , Issue.1 , pp. 384-402
    • Younes, A.1    Ackerer, P.2
  • 60
    • 77955826443 scopus 로고    scopus 로고
    • Empirical versus time stepping with embedded error control for density-driven flow in porous media
    • Younes, A., and, P. Ackerer, (2010), Empirical versus time stepping with embedded error control for density-driven flow in porous media, Water Resour. Res., 46, W08523, doi: 10.1029/2009WR008229.
    • (2010) Water Resour. Res. , vol.46 , pp. W08523
    • Younes, A.1    Ackerer, P.2
  • 61
    • 62349097511 scopus 로고    scopus 로고
    • Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications
    • Zhang, Y., D. A. Benson, and, D. M. Reeves, (2009), Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications, Adv. Water Res., 32 (4), 561-581, doi: 10.1016/j.advwatres.2009.01.008.
    • (2009) Adv. Water Res. , vol.32 , Issue.4 , pp. 561-581
    • Zhang, Y.1    Benson, D.A.2    Reeves, D.M.3
  • 62
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • Zienkiewicz, O. C., and, J. Z. Zhu, (1987), A simple error estimator and adaptive procedure for practical engineering analysis, Int. J. Numer. Methods Eng., 24 (2), 337-357, doi: 10.1002/nme.1620240206.
    • (1987) Int. J. Numer. Methods Eng. , vol.24 , Issue.2 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 63
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
    • Zienkiewicz, O. C., and, J. Z. Zhu, (1992a), The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique, Int. J. Numer. Methods Eng., 33 (7), 1331-1364, doi: 10.1002/nme.1620330702.
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , Issue.7 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 64
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • Zienkiewicz, O. C., and, J. Z. Zhu, (1992b), The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity, Int. J. Numer. Methods Eng., 33 (7), 1365-1382, doi: 10.1002/nme.1620330703.
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , Issue.7 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


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