{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T05:07:53Z","timestamp":1782968873873,"version":"3.54.5"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,11,22]],"date-time":"2021-11-22T00:00:00Z","timestamp":1637539200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,11,22]],"date-time":"2021-11-22T00:00:00Z","timestamp":1637539200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11771348"],"award-info":[{"award-number":["11771348"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11771259"],"award-info":[{"award-number":["11771259"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Major Research and Development Program of China","award":["2016YFB0200901"],"award-info":[{"award-number":["2016YFB0200901"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2022,1]]},"DOI":"10.1007\/s10915-021-01674-x","type":"journal-article","created":{"date-parts":[[2021,11,22]],"date-time":"2021-11-22T21:02:30Z","timestamp":1637614950000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A Parallel Robin\u2013Robin Domain Decomposition Method based on Modified Characteristic FEMs for the Time-Dependent Dual-porosity-Navier\u2013Stokes Model with the Beavers\u2013Joseph Interface Condition"],"prefix":"10.1007","volume":"90","author":[{"given":"Luling","family":"Cao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3402-8493","authenticated-orcid":false,"given":"Yinnian","family":"He","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,11,22]]},"reference":[{"key":"1674_CR1","unstructured":"Discacciati, M.: Domain decomposition methods for the coupling of surface and groundwater flows. Ph.D. Thesis, Ecole Polytechnique Federale de Sausanne, Sausanne, Switzerland (2004)"},{"issue":"1","key":"1674_CR2","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/s10915-009-9274-4","volume":"40","author":"A Cesmelio\u01e7lu","year":"2009","unstructured":"Cesmelio\u01e7lu, A., Riviere, B.: Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. J. Sci. Comput. 40(1), 115\u2013140 (2009)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"1674_CR3","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1137\/110834494","volume":"51","author":"W Layton","year":"2013","unstructured":"Layton, W., Tran, H., Trenchea, C.: Analysis of long time stability and errors of two partitioned methods for uncoupling evolutionary groundwater-surface water flows. SIAM J. Numer. Anal. 51(1), 248\u2013272 (2013)","journal-title":"SIAM J. Numer. Anal."},{"issue":"6","key":"1674_CR4","doi-asserted-by":"crossref","first-page":"1253","DOI":"10.1016\/S0009-2509(97)00443-0","volume":"53","author":"V Nassehi","year":"1998","unstructured":"Nassehi, V.: Modelling of combined Navier\u2013Stokes and Darcy flows in crossflow membrane filtration. Chem. Eng. Sci. 53(6), 1253\u20131265 (1998)","journal-title":"Chem. Eng. Sci."},{"issue":"1","key":"1674_CR5","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/s11242-005-1457-3","volume":"64","author":"N Hanspal","year":"2006","unstructured":"Hanspal, N., Waghode, A., Nassehi, V., Wakeman, R.: Numerical analysis of coupled Stokes\/Darcy flows in industrial filtrations. Transp. Porous Media 64(1), 73\u2013101 (2006)","journal-title":"Transp. Porous Media"},{"issue":"3","key":"1674_CR6","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/s10596-007-9043-0","volume":"11","author":"T Arbogast","year":"2007","unstructured":"Arbogast, T., Brunson, D.: A computational method for approximating a Darcy\u2013Stokes system governing a vuggy porous medium. Comput. Geosci. 11(3), 207\u2013218 (2007)","journal-title":"Comput. Geosci."},{"key":"1674_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jcp.2014.02.043","volume":"268","author":"J Chen","year":"2014","unstructured":"Chen, J., Sun, S., Wang, X.: A numerical method for a model of two-phase flow in a coupled free flow and porous media system. J. Comput. Phys. 268, 1\u201316 (2014)","journal-title":"J. Comput. Phys."},{"key":"1674_CR8","doi-asserted-by":"crossref","unstructured":"D\u2019Angelo, C., Zunino, P.: Robust numerical approximation of coupled Stokes\u2019 and Darcy\u2019s flows applied to vascular hemodynamics and biochemical transport. ESAIM Math. Modell. Numer. Anal. 45(3), 447\u2013476 (2011)","DOI":"10.1051\/m2an\/2010062"},{"issue":"2","key":"1674_CR9","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1016\/j.jmaa.2010.02.022","volume":"368","author":"N Chen","year":"2010","unstructured":"Chen, N., Gunzburger, M., Wang, X.: Asymptotic analysis of the differences between the Stokes\u2013Darcy system with different interface conditions and the Stokes\u2013Brinkman system. J. Math. Anal. Appl. 368(2), 658\u2013676 (2010)","journal-title":"J. Math. Anal. Appl."},{"issue":"5","key":"1674_CR10","doi-asserted-by":"crossref","first-page":"1801","DOI":"10.1137\/050637820","volume":"45","author":"M Mu","year":"2007","unstructured":"Mu, M., Xu, J.: A two-grid method of a mixed Stokes\u2013Darcy model for coupling fluid flow with porous media flow. SIAM J. Numer. Anal. 45(5), 1801\u20131813 (2007)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"1674_CR11","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1093\/imanum\/drm049","volume":"29","author":"N Gatica","year":"2008","unstructured":"Gatica, N., Meddahi, S., Oyarz\u00faa, R.: A conforming mixed finite-element method for the coupling of fluid flow with porous media flow. IMA J. Numer. Anal. 29(1), 86\u2013108 (2008)","journal-title":"IMA J. Numer. Anal."},{"issue":"2","key":"1674_CR12","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/s00211-009-0279-6","volume":"115","author":"L Badea","year":"2010","unstructured":"Badea, L., Discacciati, M., Quarteroni, A.: Numerical analysis of the Navier\u2013Stokes\/Darcy coupling. Numer. Math. 115(2), 195\u2013227 (2010)","journal-title":"Numer. Math."},{"issue":"33\u201336","key":"1674_CR13","doi-asserted-by":"crossref","first-page":"2692","DOI":"10.1016\/j.cma.2009.03.011","volume":"198","author":"H Rui","year":"2009","unstructured":"Rui, H., Zhang, R.: A unified stabilized mixed finite element method for coupling Stokes and Darcy flows. Comput. Methods Appl. Mech. Eng. 198(33\u201336), 2692\u20132699 (2009)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"1674_CR14","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1137\/110828095","volume":"51","author":"L Shan","year":"2013","unstructured":"Shan, L., Zheng, H.: Partitioned time stepping method for fully evolutionary Stokes\u2013Darcy flow with Beavers\u2013Joseph interface conditions. SIAM J. Numer. Anal. 51(2), 813\u2013839 (2013)","journal-title":"SIAM J. Numer. Anal."},{"key":"1674_CR15","first-page":"1","volume":"2013","author":"Y Cao","year":"2013","unstructured":"Cao, Y., Chu, Y., He, X., Wei, M.: Decoupling the stationary Navier\u2013Stokes\u2013Darcy system with the Beavers\u2013Joseph\u2013Saffman interface condition. Abstract Appl. Anal. 2013, 1\u201310 (2013)","journal-title":"Abstract Appl. Anal."},{"issue":"270","key":"1674_CR16","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1090\/S0025-5718-09-02302-3","volume":"79","author":"M Mu","year":"2010","unstructured":"Mu, M., Zhu, X.: Decoupled schemes for a non-stationary mixed Stokes\u2013Darcy model. Math. Comput. 79(270), 707\u2013731 (2010)","journal-title":"Math. Comput."},{"issue":"5","key":"1674_CR17","doi-asserted-by":"crossref","first-page":"2563","DOI":"10.1137\/120897705","volume":"51","author":"W Chen","year":"2013","unstructured":"Chen, W., Gunzburger, M., Dong, S., Wang, X.: Efficient and long-time accurate second-order methods for Stokes\u2013Darcy system. SIAM J. Numer. Anal. 51(5), 2563\u20132584 (2013)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"1674_CR18","doi-asserted-by":"crossref","first-page":"2052","DOI":"10.1137\/070686081","volume":"47","author":"V Girault","year":"2009","unstructured":"Girault, V., Rivi\u00e8re, B.: DG approximation of coupled Navier\u2013Stokes and Darcy equations by Beaver\u2013Joseph\u2013Saffman interface condition. SIAM J. Numer. Anal. 47(3), 2052\u20132089 (2009)","journal-title":"SIAM J. Numer. Anal."},{"issue":"4","key":"1674_CR19","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1007\/s00211-011-0361-8","volume":"117","author":"Y Cao","year":"2011","unstructured":"Cao, Y., Gunzburger, M., He, X., Wang, X.: Robin\u2013Robin domain decomposition methods for the steady-state Stokes\u2013Darcy system with the Beavers\u2013Joseph interface condition. Numer. Math. 117(4), 601\u2013629 (2011)","journal-title":"Numer. Math."},{"issue":"5","key":"1674_CR20","doi-asserted-by":"crossref","first-page":"3325","DOI":"10.1137\/080721868","volume":"47","author":"M Cai","year":"2009","unstructured":"Cai, M., Mu, M., Xu, J.: Numerical solution to a mixed Navier\u2013Stokes\/Darcy model by the two-grid approach. SIAM J. Numer. Anal. 47(5), 3325\u20133338 (2009)","journal-title":"SIAM J. Numer. Anal."},{"issue":"4","key":"1674_CR21","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1002\/nme.6241","volume":"121","author":"X He","year":"2020","unstructured":"He, X., Jiang, N., Qiu, C.: An artificial compressibility ensemble algorithm for a stochastic Stokes\u2013Darcy model with random hydraulic conductivity and interface conditions. Int. J. Numer. Methods Eng. 121(4), 712\u2013739 (2020)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"1674_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2020.113128","author":"L Cao","year":"2021","unstructured":"Cao, L., He, Y., Li, J., Yang, D.: Decoupled modified characteristic FEMs for fully evolutionary Navier\u2013Stokes\u2013Darcy model with the Beavers\u2013Joseph interface condition. J. Comput. Appl. Math. (2021). https:\/\/doi.org\/10.1016\/j.cam.2020.113128","journal-title":"J. Comput. Appl. Math."},{"key":"1674_CR23","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2020.113578","author":"Y Sun","year":"2021","unstructured":"Sun, Y., Sun, W., Zheng, H.: Domain decomposition method for the fully-mixed Stokes\u2013Darcy coupled problem. Comput. Methods Appl. Mech. Eng. (2021). https:\/\/doi.org\/10.1016\/j.cam.2020.113578","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"3","key":"1674_CR24","doi-asserted-by":"crossref","first-page":"1246","DOI":"10.1137\/06065091X","volume":"45","author":"M Discacciati","year":"2007","unstructured":"Discacciati, M., Quarteroni, A., Valli, A.: Robin\u2013Robin domain decomposition methods for the Stokes\u2013Darcy coupling. SIAM J. Numer. Anal. 45(3), 1246\u20131268 (2007)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"1674_CR25","doi-asserted-by":"crossref","first-page":"1064","DOI":"10.1137\/080740556","volume":"49","author":"W Chen","year":"2011","unstructured":"Chen, W., Gunzburger, M., Hua, F., Wang, X.: A parallel Robin\u2013Robin domain decomposition method for the Stokes\u2013Darcy system. SIAM J. Numer. Anal. 49(3), 1064\u20131084 (2011)","journal-title":"SIAM J. Numer. Anal."},{"issue":"288","key":"1674_CR26","doi-asserted-by":"crossref","first-page":"1617","DOI":"10.1090\/S0025-5718-2014-02779-8","volume":"83","author":"Y Cao","year":"2014","unstructured":"Cao, Y., Gunzburger, M., He, X., Wang, X.: Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes\u2013Darcy systems. Math. Comput. 83(288), 1617\u20131644 (2014)","journal-title":"Math. Comput."},{"key":"1674_CR27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109400","author":"C Qiu","year":"2020","unstructured":"Qiu, C., He, X., Li, J., Lin, Y.: A domain decomposition method for the time-dependent Navier\u2013Stokes\u2013Darcy model with Beavers\u2013Joseph interface condition and defective boundary condition. J. Comput. Phys. (2020). https:\/\/doi.org\/10.1016\/j.jcp.2020.109400","journal-title":"J. Comput. Phys."},{"issue":"03","key":"1674_CR28","doi-asserted-by":"crossref","first-page":"245","DOI":"10.2118\/426-PA","volume":"3","author":"J Warren","year":"1963","unstructured":"Warren, J., Root, P.: The behavior of naturally fractured reservoirs. Soc. Pet. Eng. J. 3(03), 245\u2013255 (1963)","journal-title":"Soc. Pet. Eng. J."},{"key":"1674_CR29","unstructured":"Aguilera, R.: Naturally Fractured Reservoirs, 1st edn. Pennwell Corp (1980)"},{"issue":"12","key":"1674_CR30","doi-asserted-by":"crossref","first-page":"2271","DOI":"10.2118\/10780-PA","volume":"35","author":"K Serra","year":"1983","unstructured":"Serra, K., Reynolds, A., Raghavan, R.: New pressure transient analysis methods for naturally fractured reservoirs. J. Pet. Technol. 35(12), 2271\u20132283 (1983)","journal-title":"J. Pet. Technol."},{"issue":"5","key":"1674_CR31","doi-asserted-by":"crossref","first-page":"B710","DOI":"10.1137\/15M1044072","volume":"38","author":"J Hou","year":"2016","unstructured":"Hou, J., Qiu, M., He, X., Guo, C., Wei, M., Bai, B.: A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow. SIAM J. Sci. Comput. 38(5), B710\u2013B739 (2016)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"1674_CR32","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1007\/s10915-018-0879-3","volume":"79","author":"L Shan","year":"2019","unstructured":"Shan, L., Hou, J., Yan, W., Chen, J.: Partitioned time stepping method for a dual-porosity-Stokes model. J. Sci. Comput. 79(1), 389\u2013413 (2019)","journal-title":"J. Sci. Comput."},{"issue":"6","key":"1674_CR33","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1002\/nme.6158","volume":"120","author":"M Mahbub","year":"2019","unstructured":"Mahbub, M., He, X., Nasu, N., Qiu, C., Zheng, H.: Coupled and decoupled stabilized mixed finite element methods for nonstationary dual-porosity-Stokes fluid flow model. Int. J. Numer. Methods Eng. 120(6), 803\u2013833 (2019)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"1674_CR34","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2019.112616","author":"M Mahbub","year":"2020","unstructured":"Mahbub, M., Shi, F., Nasu, N., Wang, Y., Zheng, H.: Mixed stabilized finite element method for the stationary Stokes-dual-permeability fluid flow model. Comput. Methods Appl. Mech. Eng. (2020). https:\/\/doi.org\/10.1016\/j.cma.2019.112616","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"1674_CR35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10444-020-09827-6","volume":"47","author":"J Hou","year":"2021","unstructured":"Hou, J., Yan, W., Hu, D., He, Z.: Robin\u2013Robin domain decomposition methods for the dual-porosity-conduit system. Adv. Comput. Math. 47(1), 1\u201333 (2021)","journal-title":"Adv. Comput. Math."},{"key":"1674_CR36","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.apnum.2021.04.012","volume":"166","author":"L Cao","year":"2021","unstructured":"Cao, L., He, Y., Li, J., Mahbub, M.: Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier\u2013Stokes model. Appl. Numer. Math. 166, 238\u2013271 (2021)","journal-title":"Appl. Numer. Math."},{"key":"1674_CR37","unstructured":"Benque, J., Labadie, G., Ronat, J.: A new finite element method for Navier\u2013Stokes equations coupled with a temperature equation. In: Fourth International Symposium on Finite Elements in Flow Problems, NorthHolland, Amsterdam, pp. 295\u2013302 (1982)"},{"issue":"5","key":"1674_CR38","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1137\/0719063","volume":"19","author":"J Douglas","year":"1982","unstructured":"Douglas, J., Russell, T.: Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal. 19(5), 871\u2013885 (1982)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"1674_CR39","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/BF01396435","volume":"38","author":"O Pironneau","year":"1982","unstructured":"Pironneau, O.: On the transport-diffusion algorithm and its applications to the Navier\u2013Stokes equations. Numer. Math. 38(3), 309\u2013332 (1982)","journal-title":"Numer. Math."},{"issue":"4","key":"1674_CR40","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1002\/(SICI)1097-0363(20000229)32:4<439::AID-FLD946>3.0.CO;2-Y","volume":"32","author":"A Allievi","year":"2000","unstructured":"Allievi, A., Bermejo, R.: Finite element modified method of characteristics for the Navier\u2013Stokes equations. Int. J. Numer. Methods Fluids 32(4), 439\u2013463 (2000)","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"4","key":"1674_CR41","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1137\/S003614290037068X","volume":"40","author":"Z Chen","year":"2002","unstructured":"Chen, Z., Ewing, R., Jiang, Q., Spagnuolo, A.: Error analysis for characteristics-based methods for degenerate parabolic problems. SIAM J. Numer. Anal. 40(4), 1491\u20131515 (2002)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"1674_CR42","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s00211-015-0767-9","volume":"134","author":"Z Si","year":"2016","unstructured":"Si, Z., Wang, J., Sun, W.: Unconditional stability and error estimates of modified characteristics FEMs for the Navier\u2013Stokes equations. Numer. Math. 134(1), 139\u2013161 (2016)","journal-title":"Numer. Math."},{"issue":"6","key":"1674_CR43","doi-asserted-by":"crossref","first-page":"3000","DOI":"10.1137\/130939717","volume":"52","author":"J Wang","year":"2014","unstructured":"Wang, J., Si, Z., Sun, W.: A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. SIAM J. Numer. Anal. 52(6), 3000\u20133020 (2014)","journal-title":"SIAM J. Numer. Anal."},{"key":"1674_CR44","doi-asserted-by":"crossref","unstructured":"Evans, L.: Partial Differential Equations, 2nd edn. American Mathematical Society (2010)","DOI":"10.1090\/gsm\/019"},{"issue":"1","key":"1674_CR45","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4310\/CMS.2010.v8.n1.a2","volume":"8","author":"Y Cao","year":"2010","unstructured":"Cao, Y., Gunzburger, M., Hua, F., Wang, X.: Coupled Stokes\u2013Darcy model with Beavers\u2013Joseph interface boundary condition. Commun. Math. Sci. 8(1), 1\u201325 (2010)","journal-title":"Commun. Math. Sci."},{"key":"1674_CR46","doi-asserted-by":"crossref","unstructured":"Brenner, S., Scott, R.: The Mathematical Theory of Finite Element Methods, 3rd edn. Springer (2008)","DOI":"10.1007\/978-0-387-75934-0"},{"issue":"3","key":"1674_CR47","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1137\/S0036142996313580","volume":"37","author":"Y Achdou","year":"2000","unstructured":"Achdou, Y., Guermond, J.: Convergence analysis of a finite element projection\/Lagrange\u2013Galerkin method for the incompressible Navier\u2013Stokes equations. SIAM J. Numer. Anal. 37(3), 799\u2013826 (2000)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"1674_CR48","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1137\/0727022","volume":"27","author":"J Heywood","year":"1990","unstructured":"Heywood, J., Rannacher, R.: Finite-element approximation of the nonstationary Navier\u2013Stokes problem. Part iv: error analysis for second-order time discretization. SIAM J. Numer. Anal. 27(2), 353\u2013384 (1990)","journal-title":"SIAM J. Numer. Anal."},{"issue":"4","key":"1674_CR49","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/BF01396329","volume":"53","author":"E S\u00fcli","year":"1988","unstructured":"S\u00fcli, E.: Convergence and nonlinear stability of the Lagrange\u2013Galerkin method for the Navier\u2013Stokes equations. Numer. Math. 53(4), 459\u2013483 (1988)","journal-title":"Numer. Math."},{"issue":"5","key":"1674_CR50","doi-asserted-by":"crossref","first-page":"970","DOI":"10.1137\/0722059","volume":"22","author":"T Russell","year":"1985","unstructured":"Russell, T.: Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. SIAM J. Numer. Anal. 22(5), 970\u20131013 (1985)","journal-title":"SIAM J. Numer. Anal."},{"key":"1674_CR51","unstructured":"Hecht, F., Pironneau, O., Ohtsuka, K.: Freefem++. http:\/\/www.freefem.org\/"},{"key":"1674_CR52","doi-asserted-by":"publisher","unstructured":"Taber, J., Seright, R.: Horizontal injection and production wells for EOR or waterflooding. In: Permian Basin Oil and Gas Recovery Conference, Midland, Texas, March (1992). https:\/\/doi.org\/10.2118\/23952-MS","DOI":"10.2118\/23952-MS"},{"issue":"2","key":"1674_CR53","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/j.camwa.2019.06.033","volume":"79","author":"J Li","year":"2020","unstructured":"Li, J., Yao, M., Mahbub, M., Zheng, H.: The efficient rotational pressure-correction schemes for the coupling Stokes\/Darcy problem. Comput. Math. Appl. 79(2), 337\u2013353 (2020)","journal-title":"Comput. Math. Appl."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01674-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01674-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01674-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,17]],"date-time":"2022-01-17T23:10:00Z","timestamp":1642461000000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-021-01674-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,22]]},"references-count":53,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["1674"],"URL":"https:\/\/doi.org\/10.1007\/s10915-021-01674-x","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11,22]]},"assertion":[{"value":"25 January 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 August 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 August 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 November 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"16"}}