Gao, Yali; Han, Daozhi; He, Xiaoming; Rüde, Ulrich Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities. (English) Zbl 07518057 J. Comput. Phys. 454, Article ID 110968, 23 p. (2022). MSC: 65Mxx 76Mxx 65Nxx PDF BibTeX XML Cite \textit{Y. Gao} et al., J. Comput. Phys. 454, Article ID 110968, 23 p. (2022; Zbl 07518057) Full Text: DOI OpenURL
Hou, Jiangyong; Hu, Dan; He, Xiaoming; Qiu, Changxin Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore. (English) Zbl 07442805 Comput. Methods Appl. Mech. Eng. 388, Article ID 114248, 38 p. (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{J. Hou} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114248, 38 p. (2022; Zbl 07442805) Full Text: DOI OpenURL
Hoang, Thi-Thao-Phuong; Kunwar, Hemanta; Lee, Hyesuk Nonconforming time discretization based on Robin transmission conditions for the Stokes-Darcy system. (English) Zbl 07427438 Appl. Math. Comput. 413, Article ID 126602, 21 p. (2022). MSC: 65Mxx 76Mxx 76Sxx PDF BibTeX XML Cite \textit{T.-T.-P. Hoang} et al., Appl. Math. Comput. 413, Article ID 126602, 21 p. (2022; Zbl 07427438) Full Text: DOI OpenURL
Hou, Jiangyong; Yan, Wenjing; Hu, Dan; He, Zhengkang Robin-Robin domain decomposition methods for the dual-porosity-conduit system. (English) Zbl 1467.76035 Adv. Comput. Math. 47, No. 1, Paper No. 7, 33 p. (2021). MSC: 76M10 76S05 76D07 65N12 65N55 PDF BibTeX XML Cite \textit{J. Hou} et al., Adv. Comput. Math. 47, No. 1, Paper No. 7, 33 p. (2021; Zbl 1467.76035) Full Text: DOI OpenURL
Hoang, Thi-Thao-Phuong; Lee, Hyesuk A global-in-time domain decomposition method for the coupled nonlinear Stokes and Darcy flows. (English) Zbl 1466.65112 J. Sci. Comput. 87, No. 1, Paper No. 22, 22 p. (2021). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 76A05 76D07 76S05 PDF BibTeX XML Cite \textit{T.-T.-P. Hoang} and \textit{H. Lee}, J. Sci. Comput. 87, No. 1, Paper No. 22, 22 p. (2021; Zbl 1466.65112) Full Text: DOI arXiv OpenURL
Ambartsumyan, Ilona; Khattatov, Eldar; Wang, ChangQing; Yotov, Ivan Stochastic multiscale flux basis for Stokes-Darcy flows. (English) Zbl 1453.76177 J. Comput. Phys. 401, Article ID 109011, 20 p. (2020). MSC: 76M35 76M10 76S05 35R60 65C30 65N30 65N35 65N75 76D07 PDF BibTeX XML Cite \textit{I. Ambartsumyan} et al., J. Comput. Phys. 401, Article ID 109011, 20 p. (2020; Zbl 1453.76177) Full Text: DOI arXiv OpenURL
Gunzburger, Max; He, Xiaoming; Li, Buyang On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. (English) Zbl 1465.65094 SIAM J. Numer. Anal. 56, No. 1, 397-427 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65N30 65M22 65M12 65M15 65M55 35M10 35Q35 76D07 76S05 PDF BibTeX XML Cite \textit{M. Gunzburger} et al., SIAM J. Numer. Anal. 56, No. 1, 397--427 (2018; Zbl 1465.65094) Full Text: DOI OpenURL
Ganis, Benjamin; Vassilev, Danail; Wang, ChangQing; Yotov, Ivan A multiscale flux basis for mortar mixed discretizations of Stokes-Darcy flows. (English) Zbl 1439.76152 Comput. Methods Appl. Mech. Eng. 313, 259-278 (2017). MSC: 76S05 65N30 65N55 76M10 PDF BibTeX XML Cite \textit{B. Ganis} et al., Comput. Methods Appl. Mech. Eng. 313, 259--278 (2017; Zbl 1439.76152) Full Text: DOI OpenURL
Du, Guangzhi; Hou, Yanren; Zuo, Liyun Local and parallel finite element methods for the mixed Navier-Stokes/Darcy model. (English) Zbl 1383.76335 Int. J. Comput. Math. 93, No. 7, 1155-1172 (2016). MSC: 76M10 65N30 35Q35 65N12 76D05 76S05 PDF BibTeX XML Cite \textit{G. Du} et al., Int. J. Comput. Math. 93, No. 7, 1155--1172 (2016; Zbl 1383.76335) Full Text: DOI OpenURL
He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. (English) Zbl 1325.76119 SIAM J. Sci. Comput. 37, No. 5, S264-S290 (2015). MSC: 76M10 65N55 65N12 65N30 76D05 76S05 PDF BibTeX XML Cite \textit{X. He} et al., SIAM J. Sci. Comput. 37, No. 5, S264--S290 (2015; Zbl 1325.76119) Full Text: DOI OpenURL
Lee, Hyesuk; Rife, Kelsey Least squares approach for the time-dependent nonlinear Stokes-Darcy flow. (English) Zbl 1366.76071 Comput. Math. Appl. 67, No. 10, 1806-1815 (2014). MSC: 76M25 76S05 49K20 65M55 PDF BibTeX XML Cite \textit{H. Lee} and \textit{K. Rife}, Comput. Math. Appl. 67, No. 10, 1806--1815 (2014; Zbl 1366.76071) Full Text: DOI OpenURL
Ervin, V. J.; Jenkins, E. W.; Lee, Hyesuk Approximation of the Stokes-Darcy system by optimization. (English) Zbl 1297.76054 J. Sci. Comput. 59, No. 3, 775-794 (2014). MSC: 76D07 76M10 65N55 65N30 PDF BibTeX XML Cite \textit{V. J. Ervin} et al., J. Sci. Comput. 59, No. 3, 775--794 (2014; Zbl 1297.76054) Full Text: DOI OpenURL
Hadigol, Mohammad; Doostan, Alireza; Matthies, Hermann G.; Niekamp, Rainer Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach. (English) Zbl 1296.65158 Comput. Methods Appl. Mech. Eng. 274, 103-124 (2014). MSC: 65N30 62H25 65N55 65N75 PDF BibTeX XML Cite \textit{M. Hadigol} et al., Comput. Methods Appl. Mech. Eng. 274, 103--124 (2014; Zbl 1296.65158) Full Text: DOI arXiv OpenURL
Vassilev, Danail; Wang, ChangQing; Yotov, Ivan Domain decomposition for coupled Stokes and Darcy flows. (English) Zbl 1295.76036 Comput. Methods Appl. Mech. Eng. 268, 264-283 (2014). MSC: 76S05 76D07 65N30 74F10 PDF BibTeX XML Cite \textit{D. Vassilev} et al., Comput. Methods Appl. Mech. Eng. 268, 264--283 (2014; Zbl 1295.76036) Full Text: DOI OpenURL
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. (English) Zbl 1457.65089 Math. Comput. 83, No. 288, 1617-1644 (2014). MSC: 65M55 65M12 65M15 65M60 35M10 35Q35 76D07 76S05 65Y05 PDF BibTeX XML Cite \textit{Y. Cao} et al., Math. Comput. 83, No. 288, 1617--1644 (2014; Zbl 1457.65089) Full Text: DOI OpenURL
Girault, Vivette; Vassilev, Danail; Yotov, Ivan Mortar multiscale finite element methods for Stokes-Darcy flows. (English) Zbl 1396.76051 Numer. Math. 127, No. 1, 93-165 (2014). MSC: 76M10 76S05 65N12 65N30 65N55 76D07 PDF BibTeX XML Cite \textit{V. Girault} et al., Numer. Math. 127, No. 1, 93--165 (2014; Zbl 1396.76051) Full Text: DOI OpenURL
Zampini, Stefano Dual-primal methods for the cardiac bidomain model. (English) Zbl 1291.92007 Math. Models Methods Appl. Sci. 24, No. 4, 667-696 (2014). MSC: 92-08 92C30 65M22 65N22 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{S. Zampini}, Math. Models Methods Appl. Sci. 24, No. 4, 667--696 (2014; Zbl 1291.92007) Full Text: DOI OpenURL
Cao, Yong; Chu, Yuchuan; He, Xiaoming; Wei, Mingzhen Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition. (English) Zbl 1311.76131 Abstr. Appl. Anal. 2013, Article ID 136483, 10 p. (2013). MSC: 76S05 35Q35 PDF BibTeX XML Cite \textit{Y. Cao} et al., Abstr. Appl. Anal. 2013, Article ID 136483, 10 p. (2013; Zbl 1311.76131) Full Text: DOI OpenURL
Feng, Wenqiang; He, Xiaoming; Wang, Zhu; Zhang, Xu Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition. (English) Zbl 1302.76173 Appl. Math. Comput. 219, No. 2, 453-463 (2012). MSC: 76S05 76M10 65N30 65N55 PDF BibTeX XML Cite \textit{W. Feng} et al., Appl. Math. Comput. 219, No. 2, 453--463 (2012; Zbl 1302.76173) Full Text: DOI OpenURL
Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu Coupling nonlinear Stokes and Darcy flow using mortar finite elements. (English) Zbl 1276.76040 Appl. Numer. Math. 61, No. 11, 1198-1222 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M10 76D07 76S05 PDF BibTeX XML Cite \textit{V. J. Ervin} et al., Appl. Numer. Math. 61, No. 11, 1198--1222 (2011; Zbl 1276.76040) Full Text: DOI Link OpenURL
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. (English) Zbl 1305.76072 Numer. Math. 117, No. 4, 601-629 (2011). MSC: 76M25 76D07 76S05 65N30 35Q35 65N55 PDF BibTeX XML Cite \textit{Y. Cao} et al., Numer. Math. 117, No. 4, 601--629 (2011; Zbl 1305.76072) Full Text: DOI OpenURL