@article{tong_wang_feng_zhao_li_2020, title={How to obtain an accurate gradient for interface problems?}, volume={405}, DOI={10.1016/j.jcp.2019.109070}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Tong, Fenghua and Wang, Weilong and Feng, Xinlong and Zhao, Jianping and Li, Zhilin}, year={2020}, month={Mar}, pages={109070} }
 @article{chen_feng_li_2019, title={A direct method for accurate solution and gradient computations for elliptic interface problems}, volume={80}, ISBN={1572-9265}, DOI={10.1007/s11075-018-0503-5}, number={3}, journal={NUMERICAL ALGORITHMS}, author={Chen, Xiaohong and Feng, Xiufang and Li, Zhilin}, year={2019}, month={Mar}, pages={709–740} }
 @article{xiao_feng_li_2019, title={A gradient recovery-based adaptive finite element method for convection-diffusion-reaction equations on surfaces}, ISBN={1097-0207}, DOI={10.1002/nme.6163}, journal={INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING}, author={Xiao, Xufeng and Feng, Xinlong and Li, Zhilin}, year={2019} }
 @article{li_dong_tong_wang_2019, title={An Augmented IB Method & Analysis for Elliptic BVP on Irregular Domains}, volume={119}, ISBN={1526-1506}, DOI={10.32604/cmes.2019.04635}, number={1}, journal={CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES}, author={Li, Zhilin and Dong, Baiying and Tong, Fenghua and Wang, Weilong}, year={2019}, pages={63–72} }
 @article{yao_zhang_tian_zhou_li_wang_2019, title={Analysis of Network Structure of Urban Bike-Sharing System: A Case Study Based on Real-Time Data of a Public Bicycle System}, volume={11}, ISBN={2071-1050}, DOI={10.3390/su11195425}, number={19}, journal={SUSTAINABILITY}, author={Yao, Yi and Zhang, Yifang and Tian, Lixin and Zhou, Nianxing and Li, Zhilin and Wang, Minggang}, year={2019} }
 @article{zhao_zhang_li_zhang_2019, title={Numerical Validations of the Tangent Linear Model for the Lorenz Equations}, volume={120}, ISBN={1526-1506}, DOI={10.32604/cmes.2019.04483}, number={1}, journal={CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES}, author={Zhao, Tengjin and Zhang, Jing and Li, Zhilin and Zhang, Zhiyue}, year={2019}, pages={83–104} }
 @article{yao_jiang_li_2019, title={Spatiotemporal characteristics of green travel: A classification study on a public bicycle system}, volume={238}, ISBN={1879-1786}, DOI={10.1016/j.jclepro.2019.117892}, journal={JOURNAL OF CLEANER PRODUCTION}, author={Yao, Yi and Jiang, Xin and Li, Zhilin}, year={2019} }
 @article{chen_li_álvarez_2018, title={A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids}, volume={172}, DOI={10.1016/j.compfluid.2018.03.038}, journal={Computers & Fluids}, publisher={Elsevier BV}, author={Chen, Xiaohong and Li, Zhilin and Álvarez, Juan Ruiz}, year={2018}, month={Aug}, pages={549–563} }
 @article{ji_chen_li_2018, title={A high-order source removal finite element method for a class of elliptic interface problems}, volume={130}, DOI={10.1016/j.apnum.2018.03.017}, journal={Applied Numerical Mathematics}, author={Ji, H. F. and Chen, J. R. and Li, Zhilin}, year={2018}, pages={112–130} }
 @article{li_lai_peng_zhang_2018, title={A least squares augmented immersed interface method for solving Navier–Stokes and Darcy coupling equations}, volume={167}, DOI={10.1016/j.compfluid.2018.03.032}, journal={Computers & Fluids}, publisher={Elsevier BV}, author={Li, Zhilin and Lai, Ming-Chih and Peng, Xiaofei and Zhang, Zhiyue}, year={2018}, month={May}, pages={384–399} }
 @article{hu_li_2018, title={Error analysis of the immersed interface method for Stokes equations with an interface}, volume={83}, DOI={10.1016/j.aml.2018.03.034}, journal={Applied Mathematics Letters}, publisher={Elsevier BV}, author={Hu, Rui and Li, Zhilin}, year={2018}, month={Sep}, pages={207–211} }
 @book{li_zhonghua_tang_2018, title={Numerical solution of differential equations: Introduction to finite difference and finite element methods}, publisher={New York: Cambridge University Press}, author={Li, Z. and Zhonghua, Q. and Tang, T.}, year={2018} }
 @article{li_chen_zhang_2018, title={ON MULTISCALE ADI METHODS FOR PARABOLIC PDEs WITH A DISCONTINUOUS COEFFICIENT}, volume={16}, DOI={10.1137/17M1151985}, number={4}, journal={MULTISCALE MODELING & SIMULATION}, author={Li, Zhilin and Chen, Xiaohong and Zhang, Zhengru}, year={2018}, pages={1623–1647} }
 @article{qin_chen_li_cai_2017, title={A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems}, volume={73}, DOI={10.1016/j.camwa.2016.11.033}, number={3}, journal={Computers & Mathematics With Applications}, author={Qin, F. F. and Chen, J. R. and Li, Zhilin and Cai, M. C.}, year={2017}, pages={404–418} }
 @article{huang_li_2017, title={A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations}, volume={10}, DOI={10.4208/nmtma.2017.m1610}, number={1}, journal={Numerical Mathematics: Theory, Methods and Applications}, author={Huang, P. Q. and Li, Zhilin}, year={2017}, pages={22–43} }
 @article{qin_wang_ma_li_2017, title={Accurate gradient computations at interfaces using finite element methods}, volume={27}, DOI={10.1515/amcs-2017-0037}, number={3}, journal={International Journal of Applied Mathematics and Computer Science}, author={Qin, F. F. and Wang, Z. H. and Ma, Z. J. and Li, Zhilin}, year={2017}, pages={527–537} }
 @article{li_ji_chen_2017, title={Accurate solution and gradient computation for elliptic interface problems with variable coefficients}, volume={55}, DOI={10.1137/15m1040244}, number={2}, journal={SIAM Journal on Numerical Analysis}, author={Li, Zhilin and Ji, H. F. and Chen, X. H.}, year={2017}, pages={570–597} }
 @article{angot_li_2017, title={An augmented IIM & preconditioning technique for jump embedded boundary conditions}, volume={14}, number={4-5}, journal={International Journal of Numerical Analysis and Modeling}, author={Angot, P. and Li, Z. L.}, year={2017}, pages={712–729} }
 @article{li_qin_2017, title={An augmented method for 4th order PDEs with discontinuous coefficients}, volume={73}, DOI={10.1007/s10915-017-0487-7}, number={2-3}, journal={Journal of Scientific Computing}, author={Li, Zhilin and Qin, F. F.}, year={2017}, pages={968–979} }
 @article{yan_lai_li_zhang_2017, title={New conservative finite volume element schemes for the modified regularized long wave equation}, volume={9}, DOI={10.4208/aamm.2014.m888}, number={2}, journal={Advances in Applied Mathematics & Mechanics}, author={Yan, J. L. and Lai, M. C. and Li, Zhilin and Zhang, Z. Y.}, year={2017}, pages={250–271} }
 @article{amat_li_ruiz_2017, title={On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method}, volume={75}, ISSN={0885-7474 1573-7691}, url={http://dx.doi.org/10.1007/S10915-017-0596-3}, DOI={10.1007/S10915-017-0596-3}, number={3}, journal={Journal of Scientific Computing}, publisher={Springer Nature}, author={Amat, Sergio and Li, Zhilin and Ruiz, Juan}, year={2017}, month={Nov}, pages={1500–1534} }
 @article{ji_chen_li_2016, title={A new augmented immersed finite element method without using SVD interpolations}, volume={71}, DOI={10.1007/s11075-015-9999-0}, number={2}, journal={Numerical Algorithms}, author={Ji, H. F. and Chen, J. R. and Li, Zhilin}, year={2016}, pages={395–416} }
 @article{zhang_li_zhang_2016, title={A sparse grid stochastic collocation method for elliptic interface problems with random input}, volume={67}, DOI={10.1007/s10915-015-0080-x}, number={1}, journal={Journal of Scientific Computing}, author={Zhang, Q. and Li, Zhilin and Zhang, Z. Y.}, year={2016}, pages={262–280} }
 @article{li_2016, title={An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions}, volume={106}, DOI={10.1002/nme.5131}, number={7}, journal={International Journal for Numerical Methods in Engineering}, author={Li, Zhilin}, year={2016}, pages={556–575} }
 @article{zhang_li_2016, title={An augmented iim for helmholtz/poisson equations on irregular domains in complex space}, volume={13}, number={1}, journal={International Journal of Numerical Analysis and Modeling}, author={Zhang, S. D. M. and Li, Z. L.}, year={2016}, pages={166–178} }
 @article{ji_chen_li_2016, title={Augmented immersed finite element methods for some elliptic partial differential equations}, volume={93}, DOI={10.1080/00207160.2015.1005010}, number={3}, journal={International Journal of Computer Mathematics}, author={Ji, H. F. and Chen, J. R. and Li, Zhilin}, year={2016}, pages={540–558} }
 @article{li_mikayelyan_2016, title={Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer}, volume={18}, DOI={10.4171/ifb/357}, number={1}, journal={Interfaces and Free Boundaries}, author={Li, Zhilin and Mikayelyan, H.}, year={2016}, pages={75–90} }
 @article{su_feng_li_2016, title={Fourth-order compact schemes for Helmholtz equations with piecewise wave numbers in the polar coordinates}, volume={34}, number={5}, journal={Journal of Computational Mathematics}, author={Su, X. L. and Feng, X. F. and Li, Z. L.}, year={2016}, pages={499–510} }
 @article{melnyk_wang_li_xue_2016, title={Prioritization of pesticides based on daily dietary exposure potential as determined from the SHEDS model}, volume={96}, DOI={10.1016/j.fct.2016.07.025}, journal={Food and Chemical Toxicology}, author={Melnyk, L. J. and Wang, Z. H. and Li, Zhilin and Xue, J. P.}, year={2016}, pages={167–173} }
 @article{zhu_zhang_li_2016, title={The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions}, volume={13}, number={3}, journal={International Journal of Numerical Analysis and Modeling}, author={Zhu, L. and Zhang, Z. Y. and Li, Z. L.}, year={2016}, pages={368–382} }
 @article{zeng_chen_li_2015, title={A parallel Robin-Robin domain decomposition method for H(div)-elliptic problems}, volume={92}, DOI={10.1080/00207160.2014.892587}, number={2}, journal={International Journal of Computer Mathematics}, author={Zeng, Y. P. and Chen, J. R. and Li, Zhilin}, year={2015}, pages={394–410} }
 @article{li_xiao_cai_zhao_luo_2015, title={A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions}, volume={297}, DOI={10.1016/j.jcp.2015.05.003}, journal={Journal of Computational Physics}, author={Li, Zhilin and Xiao, L. and Cai, Q. and Zhao, H. K. and Luo, R.}, year={2015}, pages={182–193} }
 @article{zhu_zhang_li_2015, title={An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions}, volume={70}, DOI={10.1016/j.camwa.2015.04.012}, number={2}, journal={Computers & Mathematics With Applications}, author={Zhu, L. and Zhang, Z. Y. and Li, Zhilin}, year={2015}, pages={89–103} }
 @article{xia_li_ye_2015, title={Effective matrix-free preconditioning for the augmented immersed interface method}, volume={303}, DOI={10.1016/j.jcp.2015.09.050}, journal={Journal of Computational Physics}, author={Xia, J. L. and Li, Zhilin and Ye, X.}, year={2015}, pages={295–312} }
 @article{zhang_ito_li_zhang_2015, title={Immersed finite elements for optimal control problems of elliptic PDEs with interfaces}, volume={298}, DOI={10.1016/j.jcp.2015.05.050}, journal={Journal of Computational Physics}, author={Zhang, Q. and Ito, K. and Li, Zhilin and Zhang, Z. Y.}, year={2015}, pages={305–319} }
 @article{li_wang_aspinwall_cooper_kuberry_sanders_zeng_2015, title={Some new analysis results for a class of interface problems}, volume={38}, DOI={10.1002/mma.2865}, number={18}, journal={Mathematical Methods in the Applied Sciences}, author={Li, Zhilin and Wang, L. and Aspinwall, E. and Cooper, R. and Kuberry, P. and Sanders, A. and Zeng, K.}, year={2015}, pages={4530–4539} }
 @article{alvarez_li_2015, title={The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow}, volume={264}, DOI={10.1016/j.amc.2015.03.131}, journal={Applied Mathematics and Computation}, author={Alvarez, J. R. and Li, Zhilin}, year={2015}, pages={179–197} }
 @article{xu_huang_lai_li_2014, title={A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant}, volume={15}, DOI={10.4208/cicp.241012.310513a}, number={2}, journal={Communications in Computational Physics}, author={Xu, J. J. and Huang, Y. Q. and Lai, M. C. and Li, Zhilin}, year={2014}, pages={451–469} }
 @article{ji_chen_li_2014, title={A symmetric and consistent immersed finite element method for interface problems}, volume={61}, DOI={10.1007/s10915-014-9837-x}, number={3}, journal={Journal of Scientific Computing}, author={Ji, H. F. and Chen, J. R. and Li, Zhilin}, year={2014}, pages={533–557} }
 @article{li_2014, title={Special issue on fluid structure interactions preface}, volume={7}, number={4}, journal={Numerical Mathematics: Theory, Methods and Applications}, author={Li, Z. L.}, year={2014}, pages={I-} }
 @article{wang_zhang_li_2013, title={A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere}, volume={71}, DOI={10.1016/j.apnum.2013.03.007}, journal={Applied Numerical Mathematics}, author={Wang, Q. X. and Zhang, Z. Y. and Li, Zhilin}, year={2013}, pages={1–13} }
 @article{li_song_2013, title={Adaptive mesh refinement techniques for the immersed interface method applied to flow problems}, volume={122}, DOI={10.1016/j.compstruc.2013.03.013}, journal={Computers and Structures}, author={Li, Zhilin and Song, P.}, year={2013}, pages={249–258} }
 @article{liu_wang_wang_li_zhao_luo_2013, title={Exploring a charge-central strategy in the solution of Poisson's equation for biomolecular applications}, volume={15}, DOI={10.1039/c2cp41894k}, number={1}, journal={Physical Chemistry Chemical Physics}, author={Liu, X. P. and Wang, C. H. and Wang, J. and Li, Zhilin and Zhao, H. K. and Luo, R.}, year={2013}, pages={129–141} }
 @article{wang_wang_cai_li_zhao_luo_2013, title={Exploring accurate Poisson-Boltzmann methods for biomolecular simulations}, volume={1024}, DOI={10.1016/j.comptc.2013.09.021}, journal={Computational and theoretical chemistry}, author={Wang, C. H. and Wang, J. and Cai, Q. and Li, Zhilin and Zhao, H. K. and Luo, R.}, year={2013}, pages={34–44} }
 @article{botello-smith_liu_cai_li_zhao_luo_2013, title={Numerical Poisson-Boltzmann model for continuum membrane systems}, volume={555}, DOI={10.1016/j.cplett.2012.10.081}, journal={Chemical Physics Letters}, author={Botello-Smith, W. M. and Liu, X. P. and Cai, Q. and Li, Zhilin and Zhao, H. K. and Luo, R.}, year={2013}, pages={274–281} }
 @article{song_xue_li_2013, title={Simulation of longitudinal exposure data with variance-covariance structures based on mixed models}, volume={33}, DOI={10.1111/j.1539-6924.2012.01869.x}, number={3}, journal={Risk Analysis}, author={Song, P. and Xue, J. P. and Li, Zhilin}, year={2013}, pages={469–479} }
 @article{hou_li_wang_wang_2012, title={A numerical method for solving elasticity equations with interfaces}, volume={12}, DOI={10.4208/cicp.160910.130711s}, number={2}, journal={Communications in Computational Physics}, author={Hou, S. M. and Li, Zhilin and Wang, L. Q. and Wang, W.}, year={2012}, pages={595–612} }
 @article{li_song_2012, title={An adaptive mesh refinement strategy for immersed boundary/interface methods}, volume={12}, DOI={10.4208/cicp.070211.150811s}, number={2}, journal={Communications in Computational Physics}, author={Li, Zhilin and Song, P.}, year={2012}, pages={515–527} }
 @article{ho_li_lubkin_2012, title={An augmented immersed interface method for moving structures with mass}, volume={17}, DOI={10.3934/dcdsb.2012.17.1175}, number={4}, journal={Discrete and Continuous Dynamical Systems-Series B}, author={Ho, J. and Li, Zhilin and Lubkin, S. R.}, year={2012}, pages={1175–1184} }
 @article{caraus_li_2012, title={Numerical solutions of the system of singular integro-differential equations in classical holder spaces}, volume={4}, DOI={10.4208/aamm.12-12s04}, number={6}, journal={Advances in Applied Mathematics & Mechanics}, author={Caraus, I. and Li, Zhilin}, year={2012}, pages={737–750} }
 @article{wan_li_2012, title={Some new finite difference methods for Helmholtz equations on irregular domains or with interfaces}, volume={17}, DOI={10.3934/dcdsb.2012.17.1155}, number={4}, journal={Discrete and Continuous Dynamical Systems-Series B}, author={Wan, X. H. and Li, Zhilin}, year={2012}, pages={1155–1174} }
 @article{layton_stockie_li_huang_2012, title={Special issue on fluid motion driven by immersed structures preface}, volume={12}, number={2}, journal={Communications in Computational Physics}, author={Layton, A. and Stockie, J. and Li, Z. L. and Huang, H. X.}, year={2012}, pages={I-} }
 @article{ito_li_qiao_2012, title={The sensitivity analysis for the flow past obstacles problem with respect to the reynolds number}, volume={4}, DOI={10.4208/aamm.11-m1110}, number={1}, journal={Advances in Applied Mathematics & Mechanics}, author={Ito, K. and Li, Zhilin and Qiao, Z. H.}, year={2012}, pages={21–35} }
 @article{xie_li_qiao_2011, title={A finite element method for elasticity interface problems with locally modified triangulations}, volume={8}, number={2}, journal={International Journal of Numerical Analysis and Modeling}, author={Xie, H. and Li, Z. L. and Qiao, Z. H.}, year={2011}, pages={189–200} }
 @article{wu_li_lai_2011, title={Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method}, volume={8}, number={3}, journal={International Journal of Numerical Analysis and Modeling}, author={Wu, C. T. and Li, Z. L. and Lai, M. C.}, year={2011}, pages={466–483} }
 @article{feng_li_qiao_2011, title={High order compact finite difference schemes for the helmholtz equation with discontinuous coefficients}, volume={29}, number={3}, journal={Journal of Computational Mathematics}, author={Feng, X. F. and Li, Z. L. and Qiao, Z. H.}, year={2011}, pages={324–340} }
 @article{xu_li_lowengrub_zhao_2011, title={Numerical study of surfactant-laden drop-drop interactions}, volume={10}, DOI={10.4208/cicp.090310.020610a}, number={2}, journal={Communications in Computational Physics}, author={Xu, J. J. and Li, Zhilin and Lowengrub, J. and Zhao, H. K.}, year={2011}, pages={453–473} }
 @article{alvarez_chen_li_2011, title={The IIM in polar coordinates and its application to electro capacitance tomography problems}, volume={57}, DOI={10.1007/s11075-010-9436-3}, number={3}, journal={Numerical Algorithms}, author={Alvarez, J. A. and Chen, J. R. and Li, Zhilin}, year={2011}, pages={405–423} }
 @article{li_lai_he_zhao_2010, title={An augmented method for free boundary problems with moving contact lines}, volume={39}, DOI={10.1016/j.compfluid.2010.01.013}, number={6}, journal={Computers & Fluids}, author={Li, Zhilin and Lai, M. C. and He, G. W. and Zhao, H. K.}, year={2010}, pages={1033–1040} }
 @article{gong_li_2010, title={Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions}, volume={3}, number={1}, journal={Numerical Mathematics: Theory, Methods and Applications}, author={Gong, Y. and Li, Z. L.}, year={2010}, pages={23–39} }
 @article{yang_zhang_li_he_2009, title={A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations}, volume={228}, DOI={10.1016/j.jcp.2009.07.023}, number={20}, journal={Journal of Computational Physics}, author={Yang, X. L. and Zhang, X. and Li, Zhilin and He, G. W.}, year={2009}, pages={7821–7836} }
 @article{ito_lai_li_2009, title={A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains}, volume={228}, DOI={10.1016/j.jcp.2008.12.028}, number={7}, journal={Journal of Computational Physics}, author={Ito, K. and Lai, M. C. and Li, Zhilin}, year={2009}, pages={2616–2628} }
 @article{wang_cai_li_zhao_luo_2009, title={Achieving energy conservation in Poisson-Boltzmann molecular dynamics: Accuracy and precision with finite-difference algorithms}, volume={468}, DOI={10.1016/j.cplett.2008.12.049}, number={4-6}, journal={Chemical Physics Letters}, author={Wang, J. and Cai, Q. and Li, Zhilin and Zhao, H. K. and Luo, R.}, year={2009}, pages={112–118} }
 @article{wang_chen_xu_li_2009, title={An additive Schwarz preconditioner for the mortar-type rotated Q(1) FEM for elliptic problems with discontinuous coefficients}, volume={59}, DOI={10.1016/j.apnum.2008.11.006}, number={7}, journal={Applied Numerical Mathematics}, author={Wang, F. and Chen, J. R. and Xu, W. and Li, Zhilin}, year={2009}, pages={1657–1667} }
 @inproceedings{jiang_li_lubkin_2009, title={Analysis and computation for a fluid mixture model}, volume={5}, number={2-4}, booktitle={Communications in Computational Physics}, author={Jiang, Q. L. and Li, Z. L. and Lubkin, S. R.}, year={2009}, pages={620–634} }
 @book{interface problems and methods in biological and physical flows_2009, ISBN={9789812837844}, publisher={New Jersey: World Scientific}, year={2009} }
 @article{chen_li_lin_2008, title={A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow}, volume={29}, DOI={10.1007/s10444-007-9043-6}, number={2}, journal={Advances in Computational Mathematics}, author={Chen, G. and Li, Zhilin and Lin, P.}, year={2008}, pages={113–133} }
 @inproceedings{xie_ito_li_toivanen_2008, title={A finite element method for interface problems with locally modified triangulations}, volume={466}, DOI={10.1090/conm/466/09122}, booktitle={Moving interface problems and applications in fluid dynamics}, author={Xie, H. and Ito, K. and Li, Zhilin and Toivanen, J.}, year={2008}, pages={179–190} }
 @article{rutka_li_2008, title={An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces}, volume={197}, DOI={10.1016/j.cma.2007.12.016}, number={25-28}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Rutka, V. and Li, Zhilin}, year={2008}, pages={2317–2328} }
 @article{tan_le_li_lim_khoo_2008, title={An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane}, volume={227}, DOI={10.1016/j.jcp.2008.08.013}, number={23}, journal={Journal of Computational Physics}, author={Tan, Z. J. and Le, D. V. and Li, Zhilin and Lim, K. M. and Khoo, B. C.}, year={2008}, pages={9955–9983} }
 @article{wan_li_lubkin_2008, title={Mechanics of mesenchymal contribution to clefting force in branching morphogenesis}, volume={7}, DOI={10.1007/s10237-007-0105-y}, number={5}, journal={Biomechanics and Modeling in Mechanobiology}, author={Wan, X. H. and Li, Zhilin and Lubkin, S. R.}, year={2008}, pages={417–426} }
 @article{li_pao_qiao_2007, title={A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations}, volume={30}, DOI={10.1007/s10915-005-9019-y}, number={1}, journal={Journal of Scientific Computing}, author={Li, Zhilin and Pao, C. V. and Qiao, Z. H.}, year={2007}, pages={61–81} }
 @article{gremaud_kuster_li_2007, title={A study of numerical methods for the level set approach}, volume={57}, DOI={10.1016/j.apnum.2006.07.022}, number={5-7}, journal={Applied Numerical Mathematics}, author={Gremaud, P. A. and Kuster, C. M. and Li, Zhilin}, year={2007}, pages={837–846} }
 @article{li_ito_lai_2007, title={An augmented approach for Stokes equations with a discontinuous viscosity and singular forces}, volume={36}, DOI={10.1016/j.compfluid.2006.03.003}, number={3}, journal={Computers & Fluids}, author={Li, Zhilin and Ito, K. and Lai, M. C.}, year={2007}, pages={622–635} }
 @article{gong_li_li_2007, title={Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions}, volume={46}, DOI={10.1137/060666482}, number={1}, journal={SIAM Journal on Numerical Analysis}, author={Gong, Y. and Li, B. and Li, Zhilin}, year={2007}, pages={472–495} }
 @article{li_song_tang_2007, title={Preface of the special issue of APNUM - International Conference on Scientific Computing in Nanjing, China}, volume={57}, DOI={10.1016/j.apnum.2006.07.023}, number={5-7}, journal={Applied Numerical Mathematics}, author={Li, Zhilin and Song, Y. Z. and Tang, T.}, year={2007}, pages={473–474} }
 @article{li_wan_ito_lubkin_2006, title={An augmented approach for the pressure boundary condition in a Stokes flow}, volume={1}, number={5}, journal={Communications in Computational Physics}, author={Li, Z. L. and Wan, X. H. and Ito, K. and Lubkin, S. R.}, year={2006}, pages={874–885} }
 @article{lai_li_lin_2006, title={Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain}, volume={191}, DOI={10.1016/j.cam.2005.04.025}, number={1}, journal={Journal of Computational and Applied Mathematics}, author={Lai, M. C. and Li, Zhilin and Lin, X. B.}, year={2006}, pages={106–125} }
 @article{ito_li_2006, title={Interface conditions for Stokes equations with a discontinuous viscosity and surface sources}, volume={19}, DOI={10.1016/j.aml.2005.02.041}, number={3}, journal={Applied Mathematics Letters}, author={Ito, K. and Li, Zhilin}, year={2006}, pages={229–234} }
 @book{li_ito_2006, title={The immersed interface method: Numerical solutions of PDEs involving interfaces and irregular domains}, ISBN={0898716098}, DOI={10.1137/1.9780898717464}, publisher={Philadelphia: SIAM, Society for Industrial and Applied Mathematics}, author={Li, Zhilin and Ito, K.}, year={2006} }
 @article{xu_li_lowengrub_zhao_2005, title={A  level-set method for interfacial flows with surfactant}, volume={212}, DOI={10.1016/j.jcp.2005.07.016}, number={2}, journal={Journal of Computational Physics}, author={Xu, J. J. and Li, Zhilin and Lowengrub, J. and Zhao, H. K.}, year={2005}, pages={590–616} }
 @inbook{li_2005, title={Augmented strategies for interface and irregular domain problems}, volume={3401}, ISBN={3540249370}, booktitle={Numerical analysis and its applications: Third international conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004: Revised selected papers (Lecture notes in computer science ; 3401)}, publisher={Berlin; New York: Springer}, author={Li, Z. L.}, year={2005}, pages={66–79} }
 @article{ito_li_kyei_2005, title={Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains}, volume={27}, DOI={10.1137/03060120X}, number={1}, journal={SIAM Journal on Scientific Computing}, author={Ito, K. and Li, Zhilin and Kyei, Y.}, year={2005}, pages={346–367} }
 @article{li_lin_lin_rogers_2004, title={An  immersed finite element space and its approximation capability}, volume={20}, DOI={10.1002/num.10092}, number={3}, journal={Numerical Methods for Partial Differential Equations}, author={Li, Zhilin and Lin, T. and Lin, Y. and Rogers, R. C.}, year={2004}, pages={338–367} }
 @article{zolotarevskii_li_caraush_2004, title={Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials}, volume={40}, DOI={10.1007/s10625-005-0108-3}, number={12}, journal={Differential Equations}, author={Zolotarevskii, V. A. and Li, Zhilin and Caraush, I.}, year={2004}, pages={1764–1769} }
 @article{li_2003, title={An overview of the immersed interface method and its applications}, volume={7}, DOI={10.11650/twjm/1500407515}, number={1}, journal={Taiwanese Journal of Mathematics}, author={Li, Zhilin}, year={2003}, pages={1–49} }
 @article{li_lin_wu_2003, title={New Cartesian grid methods for interface problems using the finite element formulation}, volume={96}, DOI={10.1007/s00211-003-0473-x}, number={1}, journal={Numerische Mathematik}, author={Li, Zhilin and Lin, T. and Wu, X. H.}, year={2003}, pages={61–98} }
 @article{li_wang_chern_lai_2003, title={New formulations for interface problems in polar coordinates}, volume={25}, DOI={10.1137/S106482750139618X}, number={1}, journal={SIAM Journal on Scientific Computing}, author={Li, Zhilin and Wang, W. C. and Chern, I. L. and Lai, M. C.}, year={2003}, pages={224–245} }
 @article{ito_li_2003, title={Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method}, volume={19}, DOI={10.1023/A:1025356025745}, number={03-Jan}, journal={Journal of Scientific Computing}, author={Ito, K. and Li, Zhilin}, year={2003}, pages={253–266} }
 @article{yang_li_li_2003, title={The  immersed interface method for elasticity problems with interfaces}, volume={10}, number={5}, journal={Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis}, author={Yang, X. Z. and Li, B. and Li, Z. L.}, year={2003}, pages={783–808} }
 @article{deng_ito_li_2003, title={Three-dimensional elliptic solvers for interface problems and applications}, volume={184}, DOI={10.1016/S0021-9991(02)00028-1}, number={1}, journal={Journal of Computational Physics}, author={Deng, S. Z. and Ito, K. and Li, Zhilin}, year={2003}, pages={215–243} }
 @article{lubkin_li_2002, title={Force and deformation on branching rudiments: Cleaving between hypotheses}, volume={1}, DOI={10.1007/s10237-002-0001-4}, number={1}, journal={Biomechanics and Modeling in Mechanobiology}, author={Lubkin, S. R. and Li, Zhilin}, year={2002}, pages={5–16} }
 @article{hunter_li_zhao_2002, title={Reactive autophobic spreading of drops}, volume={183}, DOI={10.1006/jcph.2002.7168}, number={2}, journal={Journal of Computational Physics}, author={Hunter, J. K. and Li, Zhilin and Zhao, H. K.}, year={2002}, pages={335–366} }
 @article{adams_li_2002, title={The immersed interface/multigrid methods for interface problems}, volume={24}, DOI={10.1137/S1064827501389849}, number={2}, journal={SIAM Journal on Scientific Computing}, author={Adams, L. and Li, Zhilin}, year={2002}, pages={463–479} }
 @inbook{li_cai_2001, title={A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals}, volume={1988}, ISBN={9783540418146 9783540452621}, ISSN={0302-9743}, url={http://dx.doi.org/10.1007/3-540-45262-1_62}, DOI={10.1007/3-540-45262-1_62}, booktitle={Lecture Notes in Computer Science}, publisher={Springer Berlin Heidelberg}, author={Li, Zhilin and Cai, Wei}, year={2001}, pages={527–534} }
 @article{lai_li_2001, title={A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane}, volume={14}, DOI={10.1016/S0893-9659(00)00127-0}, number={2}, journal={Applied Mathematics Letters}, author={Lai, M. C. and Li, Zhilin}, year={2001}, pages={149–154} }
 @article{ito_kunisch_li_2001, title={Level-set function approach to an inverse interface problem}, volume={17}, DOI={10.1088/0266-5611/17/5/301}, number={5}, journal={Inverse Problems}, author={Ito, K. and Kunisch, K. and Li, Zhilin}, year={2001}, pages={1225–1242} }
 @article{li_ito_2001, title={Maximum principle preserving schemes for interface problems with discontinuous coefficients}, volume={23}, DOI={10.1137/S1064827500370160}, number={1}, journal={SIAM Journal on Scientific Computing}, author={Li, Zhilin and Ito, K.}, year={2001}, pages={339–361} }
 @article{li_lubkin_2001, title={Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension}, volume={37}, DOI={10.1002/fld.185}, number={5}, journal={International Journal for Numerical Methods in Fluids}, author={Li, Zhilin and Lubkin, S. R.}, year={2001}, pages={525–540} }
 @article{li_lai_2001, title={The immersed interface method for the Navier-Stokes equations with singular forces}, volume={171}, DOI={10.1006/jcph.2001.6813}, number={2}, journal={Journal of Computational Physics}, author={Li, Zhilin and Lai, M. C.}, year={2001}, pages={822–842} }
 @article{li_zhao_gao_1999, title={A numerical study of electro-migration voiding by evolving level set functions on a fixed cartesian grid}, volume={152}, DOI={10.1006/jcph.1999.6249}, number={1}, journal={Journal of Computational Physics}, author={Li, Zhilin and Zhao, H. K. and Gao, H. J.}, year={1999}, pages={281–304} }
 @article{huang_li_1999, title={Convergence analysis of the immersed interface method}, volume={19}, DOI={10.1093/imanum/19.4.583}, number={4}, journal={IMA Journal of Numerical Analysis}, author={Huang, H. X. and Li, Zhilin}, year={1999}, pages={583–608} }
 @article{wiegmann_li_leveque_1999, title={Crack jump conditions for elliptic problems}, volume={12}, DOI={10.1016/S0893-9659(99)00083-X}, number={6}, journal={Applied Mathematics Letters}, author={Wiegmann, A. and Li, Zhilin and Leveque, R. J.}, year={1999}, pages={81–88} }
 @article{li_soni_1999, title={Fast and accurate numerical approaches for Stefan problems and crystal growth}, volume={35}, DOI={10.1080/104077999275848}, number={4}, journal={Numerical Heat Transfer. Part B, Fundamentals}, author={Li, Zhilin and Soni, B.}, year={1999}, pages={461–484} }
 @article{ewing_li_lin_lin_1999, title={The immersed finite volume element methods for the elliptic interface problems}, volume={50}, DOI={10.1016/S0378-4754(99)00061-0}, number={1-4}, journal={Mathematics and Computers in Simulation}, author={Ewing, R. E. and Li, Zhilin and Lin, T. and Lin, Y. P.}, year={1999}, pages={63–76} }
 @article{li_putcha_1999, title={Types of reductive monoids}, volume={221}, DOI={10.1006/jabr.1999.7946}, number={1}, journal={Journal of Algebra}, author={Li, Zhilin and Putcha, M.}, year={1999}, pages={102–116} }
 @article{li_1998, title={A fast iterative algorithm for elliptic interface problems}, volume={35}, DOI={10.1137/S0036142995291329}, number={1}, journal={SIAM Journal on Numerical Analysis}, author={Li, Zhilin}, year={1998}, pages={230–254} }
 @article{li_1998, title={The immersed interface method using a finite element formulation}, volume={27}, DOI={10.1016/S0168-9274(98)00015-4}, number={3}, journal={Applied Numerical Mathematics}, author={Li, Zhilin}, year={1998}, pages={253–267} }
 @article{hou_li_osher_zhao_1997, title={A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow}, volume={134}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.1997.5689}, DOI={10.1006/jcph.1997.5689}, number={2}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Hou, Thomas Y. and Li, Zhilin and Osher, Stanley and Zhao, Hongkai}, year={1997}, month={Jul}, pages={236–252} }
 @article{li_1996, title={A note on immersed interface method for three-dimensional elliptic equations}, volume={31}, ISSN={0898-1221}, url={http://dx.doi.org/10.1016/0898-1221(95)00202-2}, DOI={10.1016/0898-1221(95)00202-2}, number={3}, journal={Computers & Mathematics with Applications}, publisher={Elsevier BV}, author={Li, Z.}, year={1996}, month={Feb}, pages={9–17} }
 @article{leveque_li_1994, title={The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources}, volume={31}, ISSN={0036-1429 1095-7170}, url={http://dx.doi.org/10.1137/0731054}, DOI={10.1137/0731054}, number={4}, journal={SIAM Journal on Numerical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={LeVeque, Randall J. and Li, Zhilin}, year={1994}, month={Aug}, pages={1019–1044} }