{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T13:03:22Z","timestamp":1772888602095,"version":"3.50.1"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,6,2]],"date-time":"2023-06-02T00:00:00Z","timestamp":1685664000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,6,2]],"date-time":"2023-06-02T00:00:00Z","timestamp":1685664000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["DMS-11771290;TZ2016002"],"award-info":[{"award-number":["DMS-11771290;TZ2016002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12001193;"],"award-info":[{"award-number":["12001193;"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1007\/s10915-023-02239-w","type":"journal-article","created":{"date-parts":[[2023,6,2]],"date-time":"2023-06-02T05:33:47Z","timestamp":1685684027000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Second Order Convergence of a Modified MAC Scheme for Stokes Interface Problems"],"prefix":"10.1007","volume":"96","author":[{"given":"Haixia","family":"Dong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhongshu","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuwang","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8038-9372","authenticated-orcid":false,"given":"Wenjun","family":"Ying","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiwei","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,6,2]]},"reference":[{"issue":"1","key":"2239_CR1","doi-asserted-by":"crossref","first-page":"91","DOI":"10.2140\/camcos.2006.1.91","volume":"1","author":"T Beale","year":"2007","unstructured":"Beale, T., Layton, A.: On the accuracy of finite difference methods for elliptic problems with interfaces. Commun. Appl. Math. Comput. Sci. 1(1), 91\u2013119 (2007)","journal-title":"Commun. Appl. Math. Comput. Sci."},{"key":"2239_CR2","first-page":"117","volume":"II","author":"P Blanc","year":"1999","unstructured":"Blanc, P.: Error estimate for a finite volume scheme on a MAC mesh for the Stokes problem. Finite Vol. Complex Appl. II, 117\u2013124 (1999)","journal-title":"Finite Vol. Complex Appl."},{"key":"2239_CR3","unstructured":"Blanc, P.: Convergence of a finite volume scheme on a MAC mesh for the Stokes problem with right hand side in $$H^{-1}$$, Finite Vol. Complex Appl. IV, pp.\u00a0133\u2013142 (2005)"},{"key":"2239_CR4","doi-asserted-by":"crossref","first-page":"7565","DOI":"10.1016\/j.jcp.2009.07.001","volume":"228","author":"EG Boyce","year":"2009","unstructured":"Boyce, E.G.: An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner. J. Comput. Phys. 228, 7565\u20137595 (2009)","journal-title":"J. Comput. Phys."},{"key":"2239_CR5","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1016\/j.compfluid.2018.03.038","volume":"172","author":"X Chen","year":"2018","unstructured":"Chen, X., Li, Z., \u00c1lvarez, J.R.: A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids. Comput. Fluids 172, 549\u2013563 (2018)","journal-title":"Comput. Fluids"},{"key":"2239_CR6","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/BF01386422","volume":"57","author":"B Christoph","year":"1990","unstructured":"Christoph, B.: Domain imbedding methods for the Stokes equations. Numer. Math. 57, 435\u2013451 (1990)","journal-title":"Numer. Math."},{"key":"2239_CR7","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1093\/imanum\/drv071","volume":"37","author":"H Dong","year":"2017","unstructured":"Dong, H., Wang, B., Xie, Z., Wang, L.-L.: An unfitted hybridizable discontinuous Galerkin method for the Poisson interface problem and its error analysis. IMA J. Numer. Anal. 37, 444\u2013476 (2017)","journal-title":"IMA J. Numer. Anal."},{"key":"2239_CR8","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.apnum.2019.09.017","volume":"150","author":"H Dong","year":"2020","unstructured":"Dong, H., Ying, W., Zhang, J.: Maximum error estimates of a MAC scheme for Stokes equations with Dirichlet boundary conditions. Appl. Numer. Math. 150, 149\u2013163 (2020)","journal-title":"Appl. Numer. Math."},{"key":"2239_CR9","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/s10092-011-0045-x","volume":"49","author":"T Gallou\u00ebt","year":"2012","unstructured":"Gallou\u00ebt, T., Herbin, R., Latch\u00e9, J.-C.: $$w^{1, q}$$ stability of the Fortin operator for the MAC scheme. Calcolo 49, 63\u201371 (2012)","journal-title":"Calcolo"},{"key":"2239_CR10","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1093\/imanum\/16.3.347","volume":"16","author":"V Girault","year":"1996","unstructured":"Girault, V., Lopez, H.: Finite-element error estimates for the MAC scheme. IMA J. Numer. Anal. 16, 347\u2013379 (1996)","journal-title":"IMA J. Numer. Anal."},{"key":"2239_CR11","doi-asserted-by":"crossref","first-page":"560","DOI":"10.1137\/S0036142996300385","volume":"35","author":"H Han","year":"1998","unstructured":"Han, H., Wu, X.: A new mixed finite element formulation and the MAC method for the Stokes equations. SIAM J. Numer. Anal. 35, 560\u2013571 (1998)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR12","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.apnum.2014.06.009","volume":"85","author":"P Hansbo","year":"2014","unstructured":"Hansbo, P., Larson, M.G., Zahedi, S.: A cut finite element method for a Stokes interface problem. Appl. Numer. Math. 85, 90\u2013114 (2014)","journal-title":"Appl. Numer. Math."},{"key":"2239_CR13","doi-asserted-by":"crossref","first-page":"S264","DOI":"10.1137\/140965776","volume":"37","author":"X He","year":"2015","unstructured":"He, X., Li, J., Lin, Y., Ming, J.: A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. SIAM J. Sci. Comput. 37, S264\u2013S290 (2015)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR14","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1137\/0729040","volume":"29","author":"TY Hou","year":"1992","unstructured":"Hou, T.Y., Wetton, B.T.R.: Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions. SIAM J. Numer. Anal. 29, 615\u2013639 (1992)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR15","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1137\/0730030","volume":"30","author":"TY Hou","year":"1993","unstructured":"Hou, T.Y., Wetton, B.T.R.: Second-order convergence of a projection scheme for the incompressible Navier-Stokes equations with boundaries. SIAM J. Numer. Anal. 30, 609\u2013629 (1993)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR16","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/j.aml.2018.03.034","volume":"83","author":"R Hu","year":"2018","unstructured":"Hu, R., Li, Z.: Error analysis of the immersed interface method for Stokes equations with an interface. Appl. Math. Lett. 83, 207\u2013211 (2018)","journal-title":"Appl. Math. Lett."},{"key":"2239_CR17","doi-asserted-by":"crossref","first-page":"646","DOI":"10.1137\/040606028","volume":"27","author":"VRAR J\u00f6rg","year":"2005","unstructured":"J\u00f6rg, V.R.A.R.: Peters, Fast iterative solvers for discrete Stokes equations. SIAM J. Sci. Comput. 27, 646\u2013666 (2005)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR18","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1002\/fld.1566","volume":"56","author":"G Kanschat","year":"2008","unstructured":"Kanschat, G.: Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme. Int. J. Numer. Methods Fluids 56, 941\u2013950 (2008)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"2239_CR19","first-page":"449","volume":"4","author":"VL Lebedev","year":"1964","unstructured":"Lebedev, V.L.: Difference analogues of orthogonal decompositions, fundamental differential operators and certain boundary-value problems of mathematical physics. Zh. Vychisl. Mat. Mat. Fiz. 4, 449\u2013465 (1964)","journal-title":"Zh. Vychisl. Mat. Mat. Fiz."},{"key":"2239_CR20","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1137\/S1064827502414060","volume":"25","author":"L Lee","year":"2003","unstructured":"Lee, L., LeVeque, R.J.: An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 25, 832\u2013856 (2003)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR21","doi-asserted-by":"crossref","first-page":"1019","DOI":"10.1137\/0731054","volume":"31","author":"RJ Leveque","year":"1994","unstructured":"Leveque, R.J., Li, Z.: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31, 1019\u20131044 (1994)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR22","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1137\/S1064827595282532","volume":"18","author":"RJ LeVeque","year":"1997","unstructured":"LeVeque, R.J., Li, Z.: Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Comput. 18, 709\u2013735 (1997)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR23","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/s10915-014-9963-5","volume":"65","author":"J Li","year":"2015","unstructured":"Li, J., Sun, S.: The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes. J. Sci. Comput. 65, 341\u2013362 (2015)","journal-title":"J. Sci. Comput."},{"key":"2239_CR24","doi-asserted-by":"crossref","first-page":"1499","DOI":"10.1016\/j.jmaa.2018.06.068","volume":"466","author":"X Li","year":"2018","unstructured":"Li, X., Rui, H.: Stability and superconvergence of MAC schemes for time dependent Stokes equations on nonuniform grids. J. Math. Anal. Appl. 466, 1499\u20131524 (2018)","journal-title":"J. Math. Anal. Appl."},{"key":"2239_CR25","doi-asserted-by":"crossref","first-page":"1313","DOI":"10.1137\/18M1175069","volume":"56","author":"X Li","year":"2018","unstructured":"Li, X., Rui, H.: Superconvergence of characteristics marker and cell scheme for the Navier-Stokes equations on nonuniform grids. SIAM J. Numer. Anal. 56, 1313\u20131337 (2018)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR26","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1137\/S1064827500370160","volume":"23","author":"Z Li","year":"2001","unstructured":"Li, Z., Ito, K.: Maximum principle preserving schemes for interface problems with discontinuous coefficients. SIAM J. Sci. Comput. 23, 339\u2013361 (2001)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR27","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898717464","volume-title":"The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains","author":"Z Li","year":"2006","unstructured":"Li, Z., Ito, K.: The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains, vol. 33. SIAM (2006)"},{"key":"2239_CR28","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1137\/15M1040244","volume":"55","author":"Z Li","year":"2017","unstructured":"Li, Z., Ji, H., Chen, X.: Accurate solution and gradient computation for elliptic interface problems with variable coefficients. SIAM J. Numer. Anal. 55, 570\u2013597 (2017)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR29","doi-asserted-by":"crossref","first-page":"1025401","DOI":"10.1002\/pamm.200700758","volume":"7","author":"Z Li","year":"2007","unstructured":"Li, Z., Lai, M.-C., Ito, K.: An immersed interface method for the Navier-Stokes equations on irregular domains. PAMM Proc. Appl. Math. Mech. 7, 1025401\u20131025402 (2007)","journal-title":"PAMM Proc. Appl. Math. Mech."},{"key":"2239_CR30","doi-asserted-by":"crossref","first-page":"4530","DOI":"10.1002\/mma.2865","volume":"38","author":"Z Li","year":"2015","unstructured":"Li, Z., Wang, L., Aspinwall, E., Cooper, R., Kuberry, P., Sanders, A., Zeng, K.: Some new analysis results for a class of interface problems. Math. Methods Appl. Sci. 38, 4530\u20134539 (2015)","journal-title":"Math. Methods Appl. Sci."},{"key":"2239_CR31","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/j.compfluid.2018.03.032","volume":"167","author":"Z Li","year":"2018","unstructured":"Li, Z., Lai, M.-C., Peng, X., Zhang, Z.: A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations. Comput. Fluids 167, 384\u2013399 (2018)","journal-title":"Comput. Fluids"},{"key":"2239_CR32","doi-asserted-by":"crossref","first-page":"1647","DOI":"10.1002\/num.22066","volume":"32","author":"Y Lin","year":"2016","unstructured":"Lin, Y., Zou, Q.: Superconvergence analysis of the MAC scheme for the two dimensional Stokes problem. Numer. Methods Partial Differ. Equ. 32, 1647\u20131666 (2016)","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"2239_CR33","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1137\/0721021","volume":"21","author":"A Mayo","year":"1984","unstructured":"Mayo, A.: The fast solution of Poisson\u2019s and the biharmonic equations on irregular regions. SIAM J. Numer. Anal. 21, 285\u2013299 (1984)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR34","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1137\/0913006","volume":"13","author":"A Mayo","year":"1992","unstructured":"Mayo, A., Greenbaum, A.: Fast parallel iterative solution of Poisson\u2019s and the biharmonic equations on irregular regions. SIAM J. Sci. Statistical Comput. 13, 101\u2013118 (1992)","journal-title":"SIAM J. Sci. Statistical Comput."},{"key":"2239_CR35","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1002\/cpa.20233","volume":"61","author":"Y Mori","year":"2008","unstructured":"Mori, Y.: Convergence proof of the velocity field for a Stokes flow immersed boundary method. Commun. Pure Appl. Math. 61, 1213\u20131263 (2008)","journal-title":"Commun. Pure Appl. Math."},{"key":"2239_CR36","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1090\/S0025-5718-96-00665-5","volume":"65","author":"R Nicolaides","year":"1996","unstructured":"Nicolaides, R., Wu, X.: Analysis and convergence of the MAC scheme. II. Navier-Stokes equations. Math. Comput. Am. Math. Soc. 65, 29\u201344 (1996)","journal-title":"Math. Comput. Am. Math. Soc."},{"key":"2239_CR37","doi-asserted-by":"crossref","first-page":"1579","DOI":"10.1137\/0729091","volume":"29","author":"RA Nicolaides","year":"1992","unstructured":"Nicolaides, R.A.: Analysis and convergence of the MAC scheme. I. The linear problem. SIAM J. Numer. Anal. 29, 1579\u20131591 (1992)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR38","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s00211-005-0646-x","volume":"103","author":"M Olshanskii","year":"2006","unstructured":"Olshanskii, M., Reusken, A.: Analysis of a Stokes interface problem. Numer. Math. 103, 129\u2013149 (2006)","journal-title":"Numer. Math."},{"key":"2239_CR39","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1017\/S0962492902000077","volume":"11","author":"CS Peskin","year":"2002","unstructured":"Peskin, C.S.: The immersed boundary method. Acta Numer. 11, 479\u2013517 (2002)","journal-title":"Acta Numer."},{"key":"2239_CR40","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1137\/15M1050550","volume":"55","author":"H Rui","year":"2017","unstructured":"Rui, H., Li, X.: Stability and superconvergence of MAC scheme for Stokes equations on nonuniform grids. SIAM J. Numer. Anal. 55, 1135\u20131158 (2017)","journal-title":"SIAM J. Numer. Anal."},{"key":"2239_CR41","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10915-019-01102-1","volume":"82","author":"H Rui","year":"2020","unstructured":"Rui, H., Sun, Y.: A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids. J. Sci. Comput. 82, 1\u201329 (2020)","journal-title":"J. Sci. Comput."},{"key":"2239_CR42","doi-asserted-by":"crossref","first-page":"1527","DOI":"10.1002\/fld.1694","volume":"57","author":"V Rutka","year":"2008","unstructured":"Rutka, V.: A staggered grid-based explicit jump immersed interface method for two-dimensional Stokes flows. Int. J. Numer. Methods Fluids 57, 1527\u20131543 (2008)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"2239_CR43","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1137\/0914028","volume":"14","author":"Y Saad","year":"1993","unstructured":"Saad, Y.: A flexible inner-outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 14, 461\u2013469 (1993)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR44","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1016\/S0022-0396(03)00023-8","volume":"191","author":"Y Shibata","year":"2003","unstructured":"Shibata, Y., Shimizu, S.: On a resolvent estimate of the interface problem for the Stokes system in a bounded domain. J. Differ. Equ. 191, 408\u2013444 (2003)","journal-title":"J. Differ. Equ."},{"key":"2239_CR45","first-page":"121","volume":"39","author":"D Shin","year":"1997","unstructured":"Shin, D., Strikwerda, J.C.: Inf-sup conditions for finite-difference approximations of the Stokes equations, The. ANZIAM J. 39, 121\u2013134 (1997)","journal-title":"ANZIAM J."},{"key":"2239_CR46","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1007\/BF01405291","volume":"56","author":"R Stenberg","year":"1989","unstructured":"Stenberg, R.: Some new families of finite elements for the Stokes equations. Numer. Math. 56, 827\u2013838 (1989)","journal-title":"Numer. Math."},{"key":"2239_CR47","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/BF01386051","volume":"6","author":"G Strang","year":"1964","unstructured":"Strang, G.: Accurate partial difference methods. Numer. Math. 6, 37\u201346 (1964)","journal-title":"Numer. Math."},{"key":"2239_CR48","doi-asserted-by":"crossref","first-page":"9955","DOI":"10.1016\/j.jcp.2008.08.013","volume":"227","author":"Z Tan","year":"2008","unstructured":"Tan, Z., Le, D.V., Li, Z., Lim, K., Khoo, B.: An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane. J. Comput. Phys. 227, 9955\u20139983 (2008)","journal-title":"J. Comput. Phys."},{"key":"2239_CR49","doi-asserted-by":"crossref","first-page":"1798","DOI":"10.1137\/080712970","volume":"31","author":"Z Tan","year":"2009","unstructured":"Tan, Z., Le, D.V., Lim, K., Khoo, B.: An immersed interface method for the incompressible Navier-Stokes equations with discontinuous viscosity across the interface. SIAM J. Sci. Comput. 31, 1798\u20131819 (2009)","journal-title":"SIAM J. Sci. Comput."},{"key":"2239_CR50","doi-asserted-by":"crossref","first-page":"1333","DOI":"10.4208\/cicp.161009.220211a","volume":"10","author":"Z Tan","year":"2011","unstructured":"Tan, Z., Lim, K., Khoo, B.: An implementation of MAC grid-based IIM-Stokes solver for incompressible two-phase flows. Commun. Comput. Phys. 10, 1333\u20131362 (2011)","journal-title":"Commun. Comput. Phys."},{"key":"2239_CR51","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2019.109070","volume":"405","author":"F Tong","year":"2020","unstructured":"Tong, F., Wang, W., Feng, X., Zhao, J., Li, Z.: How to obtain an accurate gradient for interface problems? J. Comput. Phys. 405, 109070 (2020)","journal-title":"J. Comput. Phys."},{"key":"2239_CR52","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1016\/j.jcp.2013.03.064","volume":"247","author":"B Wang","year":"2013","unstructured":"Wang, B., Khoo, B.: Hybridizable discontinuous Galerkin method (HDG) for Stokes interface flow. J. Comput. Phys. 247, 262\u2013278 (2013)","journal-title":"J. Comput. Phys."},{"key":"2239_CR53","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1016\/j.camwa.2015.05.024","volume":"70","author":"Q Wang","year":"2015","unstructured":"Wang, Q., Chen, J.: A new unfitted stabilized Nitsche\u2019s finite element method for Stokes interface problems. Comput. Math. Appl. 70, 820\u2013834 (2015)","journal-title":"Comput. Math. Appl."},{"key":"2239_CR54","doi-asserted-by":"crossref","DOI":"10.1016\/j.cpc.2021.108154","volume":"270","author":"W Wang","year":"2022","unstructured":"Wang, W., Tan, Z.: A simple augmented IIM for 3D incompressible two-phase Stokes flows with interfaces and singular forces. Comput. Phys. Commun. 270, 108154 (2022)","journal-title":"Comput. Phys. Commun."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-023-02239-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-023-02239-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-023-02239-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,21]],"date-time":"2023-06-21T20:24:30Z","timestamp":1687379070000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-023-02239-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,2]]},"references-count":54,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["2239"],"URL":"https:\/\/doi.org\/10.1007\/s10915-023-02239-w","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6,2]]},"assertion":[{"value":"28 December 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 March 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 April 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 June 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interests or person a relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"27"}}