Main Research Interests
- Multilevel iterative solvers and their efficient implementation
- Multiphase multicomponent complex flows in porous media
- A posteriori error analysis and adaptive mesh refinement
Selected Publications
- A posteriori error analysis for parabolic variational inequalities, with K.-S. Moon, R. H. Nochetto and T. von Petersdorff, ESAIM: M2NA, 47 (2007)
- A posteriori error analysis for a class of integro-differential operators, with R. H. Nochetto, T. von Petersdorff, Numerische Mathematik, 116 (2010)
- A coarsening algorithm and multilevel methods on adaptive grids by newest vertex bisection, with L. Chen, Journal of Computational Mathematics, 28 (2010)
- Stable finite element discretizations for viscoelastic flow models, with Y.-J. Lee and J. Xu, Handbook of Numerical Analysis, 16 (2011)
- Global existence and uniqueness of solutions to discretized viscoelastic flow models, with Y.-J. Lee and J. Xu, M3AS, 28 (2011)
- Combined Preconditioning with Applications in Reservoir Simulation, with X. Hu, et al., Multiscale Modelling and Simulation, 11 (2013)
- On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems, with X. Hu, Y.-J. Lee, and J. Xu, Journal of Scientific Computing, 58 (2014)
- A scalable hybrid solver for rate-type non-Newtonian fluid models, with Y.-J. Lee and W. Leng, Journal of Computational and Applied Mathematics, 300 (2016)
- Analytical decoupling techniques for fully implicit reservoir simulation, with C. Qiao, S. Wu, and J. Xu, Journal of Computational Physics, 336 (2017)
- On the ideal interpolation operator in algebraic multigrid methods, with X. Xu, SIAM Journal on Numerical Analysis, 56 (2018)
- Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications, with W. Leng, et al., Journal of Computational Science, 30 (2019)
- Convergence analysis of inexact two-grid methods: A theoretical framework, with X. Xu, SIAM Journal on Numerical Analysis, 60 (2022)
- Linear solvers for petroleum reservoir simulation, Journal on Numerical Methods and Computer Applications, 43 (2022), in Chinese
- A new analytical framework for the convergence of inexact two-grid methods, with X. Xu, SIAM Journal on Matrix Analysis and Applications, 43 (2022)
- A Stokes-Darcy-Darcy model and its discontinuous Galerkin method on polytopic grids, with R. Li, Y. Gao, and Z. Chen, Journal of Computational Physics, 510 (2024)
Selected Public Talks
Selected Research Grants
- Jan/2020–Dec/2023: Key Science and Technology Project of PetroChina, Participant
- Jan/2020–Dec/2021: Collaborative Research Project of PetroBras, Participant
- Jan/2020–Dec/2023: National Science Foundation of China 11971472, PI
- Jan/2020–Dec/2020: Research Project of RIPED, PetroChina, PI
- Sep/2019–Dec/2020: Science Challenge Project, PI
- Jan/2016–Dec/2020: Key Research Program of Frontier Sciences, Chinese Academy of Sciences, PI
- July/2016–Dec/2020: National Key Research and Development Program of China, Participant
- Jan/2016–Dec/2018: Major Research Plan, NSFC 91530323, Participant
- Jan/2015–Dec/2018: Major Research Plan, NSFC 91430215, Participant
- Jan/2014–Dec/2016: Research Foundation for Returned Oversea Scholars, State Education Ministry, PI
- Jan/2012–Dec/2014: National Science Foundation of China 91130011, Participant
- Dec/2010–Dec/2012: China Postdoc Science Foundation 45210148–0072, PI
- Sep/2009–Aug/2012: US NSF DMS–0915153, co-PI
