人物經歷
2019.03 至今:西北工業大學,數學與統計學院,副教授,碩導
2020.06至2023.06:西北工業大學,數學與統計學院在職博士後,合作導師:聶玉峰 教授
2017/10--2018/10:義大利國家研究委員會IMATI研究所,計算數學,聯培博士,導師:Franco Brezzi 院士
2013/09--2018/12:西安交通大學,數學與統計學院,計算數學,博士,導師:陳掌星 院士
2009/09--2013/07:陝西師範大學,數學與信息科學學院,數學與套用數學(創新實驗班),學士
研究方向
科學與工程計算中多場耦合問題的數值方法(特別是基於多邊形格線剖分的情況):
(1) 從模型的角度來考慮,除了簡單的粘性不可壓流體模型外,主要解決的是與流體相關的多物理多區域耦合問題,包括自由流與多孔介質耦合Stokes-Darcy問題、兩相流Navier-Stokes-Cahn- Hilliard問題、流固耦合Navier-Stokes-Elasticity問題等;
(2) 從方法的角度來考慮,除了傳統的有限元、有限體積、間斷有限元、間斷有限體積等方法外,主要研究基於多邊形格線剖分的新型數值方法,如弱Galerkin有限元方法(WG)、虛擬元方法(VEM)等。
學術成果
(12) Liu Xin, Chen Zhangxin. A virtual element method for overcoming locking phenomena in Biot's consolidation model[J]. ESAIM-Mathematical Modelling and Numerical Analysis, 2023, 57:3007–3027.
(11) Liu Xin, Nie Yufeng. Pressure-independent velocity err-or estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free[J]. Numerical Algorithms, 2022, 90:477-506.
(10) Liu Xin, Nie Yufeng. A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations[J]. Applied Numerical Mathematics, 2021, 167:375-388.
(9) Liu Xin, Li Rui, Nie Yufeng. A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 372:113351.
(8) Liu Xin, He Zhengkang, Chen Zhangxin. A fully discrete virtual element scheme for the Cahn-Hilliard equation in mixed form[J]. Computer Physics Communications, 2020, 246:1-11(106870).
(7) Liu Xin, Chen Zhangxin. The nonconforming virtual element method for the Navier-Stokes equations[J]. Advances in Computational Mathematics, 2019, 45(1):51-74.
(6) Liu Xin, Li Rui, Chen Zhangxin. A virtual element method for the coupled Stokes-Darcy problem with the Beaver-Joseph-Saffman interface condition[J]. Calcolo, 2019, 56(48):1-28.
(5) Liu Xin, Chen Zhangxin. A virtual element method for the Cahn-Hilliard problem in mixed form[J]. Applied Mathematics Letters, 2019, 87:115-124.
(4) Liu Xin, Li Jian, Chen Zhangxin. A weak Galerkin finite element method for the Navier-Stokes equations[J]. Journal of Computational and Applied Mathematics, 2018, 333:442-457.
(3) Liu Xin, Li Jian, Chen Zhangxin. A nonconforming virtual element method for the Stokes problem on general meshes[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 320:694-711.
(2) Li Rui, Li Jian, Liu Xin, Chen Zhangxin. A weak Galerkin finite element method for a coupled Stokes-Darcy problem[J]. Numerical Methods for Partial Differential Equations, 2017, 33(4):1352-1373.
(1) Liu Xin, Li Jian, Chen Zhangxin. A weak Galerkin finite element method for the Oseen equations[J]. Advances in Computational Mathematics, 2016, 42(6):1473-1490.