Edit Profile (opens in new tab) Lin, Tao Co-Author Distance Author ID: lin.tao Published as: Lin, Tao; Lin, T. Homepage: http://www.math.vt.edu/people/tlin/index.html External Links: MGP Documents Indexed: 120 Publications since 1983, including 1 Book and 6 Additional arXiv Preprints Co-Authors: 60 Co-Authors with 91 Joint Publications 2,389 Co-Co-Authors all top 5 Co-Authors 3 single-authored 31 Lin, Yanping 13 Adjerid, Slimane 12 Guo, Ruchi 11 Ewing, Richard Edward 11 He, Xiaoming 9 Zhang, Xu 6 Wang, Wei 5 Zhang, Shuhua 5 Zhuang, Qiao 4 Koloskova, Anastasia 4 Li, WenYao 4 Rao, Ming 4 Rogers, Robert C. 4 Stich, Sebastian U. 4 Wang, Hong 4 Zhang, Tie 3 Ben-Romdhane, Mohamed 3 de Haan, Laurens 3 Li, Zhilin 3 Meghaichi, Haroun 3 Nie, Yanyi 3 Pan, Liming 3 Sheen, Dongwoo 3 Sun, Weiwei 2 Banks, Harvey Thomas 2 Cao, Yong 2 Chaabane, Nabil 2 Chu, Yuchuan 2 Guo, Shumei 2 Jaggi, Martin 2 Liu, Gui-Rong 2 Wu, Tao 2 Xue, Xiaoyu 2 Yang, Qing 2 Zhang, Huili 1 Babuška, Ivo 1 Brandon, Deborah 1 Buksas, Michael W. 1 Burns, John A. 1 Camp, Brian 1 Cao, Huijun 1 Chang, Shih-Sen 1 Chen, Chung-Lung 1 Chen, Tian 1 Choi, Jeongwhan 1 Chu, Chengbin 1 Chu, Feng 1 Dahle, Helge K. 1 Ding, Li 1 Dong, Xiangwei 1 Duan, Chenrui 1 Einmahl, John H. J. 1 Elliott, Robert James 1 Falk, Richard S. 1 Feng, Changyong 1 Fraga Alves, M. Isabel 1 Gao, Xuedong 1 Gao, Yali 1 Geng, Dongqing 1 George, John H. 1 Han, Daoru 1 He, Lie 1 Hu, Ping 1 Huang, Wenchao 1 Huang, Yanwei 1 Huo, Li’na 1 Kafafy, R. 1 Karimireddy, Sai Praneeth 1 Kosciolek, T. 1 Křížek, Michal 1 Lazarov, Raytcho D. 1 Lei, Xun 1 Li, Zengliang 1 Liang, Weiguang 1 Lin, Min 1 Lin, Qun 1 Liu, Fang 1 Liu, Jianxun 1 Liu, Jinyuan 1 Liu, Lijun 1 Liu, Liping 1 Liu, Ming 1 Liu, Tang 1 Liu, Yanbing 1 Luo, Ping 1 Mao, Zirui 1 Miao, Hong 1 Pan, Xingda 1 Ramirez, Edgardo 1 Ryan, M. Lynne 1 Sang, Jianbing 1 Schnabl, B. 1 Stanley, Lisa G. 1 Sun, Yi 1 Tang, Mingdong 1 Tu, Xinming 1 Våg, J. E. 1 Vogels, Thijs 1 Wang, Joseph 1 Wang, Junping ...and 17 more Co-Authors all top 5 Serials 8 Journal of Computational and Applied Mathematics 8 Numerical Methods for Partial Differential Equations 7 International Journal of Numerical Analysis and Modeling 6 Journal of Computational Physics 5 Applied Mathematics and Computation 5 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 3 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Physica A 2 The Annals of Statistics 2 Applied Numerical Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Computational Acoustics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Applicable Analysis 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 The Annals of Probability 1 Biometrics 1 BIT 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerische Mathematik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Journal of Sichuan University. Natural Science Edition 1 Journal of Xiamen University. Natural Science 1 Journal of Computational Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Integral Equations and Applications 1 Systems Science and Mathematical Sciences 1 Applications of Mathematics 1 International Journal of Robust and Nonlinear Control 1 Journal of Mathematical Systems, Estimation, and Control 1 The Canadian Applied Mathematics Quarterly 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 East-West Journal of Numerical Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Journal of Zhengzhou University. Natural Science Edition 1 European Journal of Mechanics. B. Fluids 1 Journal of Mathematical Study 1 RAIRO. Operations Research 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 International Journal of Computational Methods 1 International Journal of Information & Systems Sciences 1 Frontiers in Applied Mathematics 1 Communications in Computational Physics 1 Science China. Information Sciences 1 Communications on Applied Mathematics and Computation all top 5 Fields 76 Numerical analysis (65-XX) 53 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 13 Mechanics of deformable solids (74-XX) 8 Statistics (62-XX) 7 Ordinary differential equations (34-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 2,341 times in 855 Documents Cited by ▼ Year ▼ New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130 Li, Zhilin; Lin, Tao; Wu, Xiaohui 249 2003 On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084 Ewing, Richard E.; Lin, Tao; Lin, Yanping 191 2002 Partially penalized immersed finite element methods for elliptic interface problems. Zbl 1316.65104 Lin, Tao; Lin, Yanping; Zhang, Xu 139 2015 An immersed finite element space and its approximation capability. Zbl 1057.65085 Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 124 2004 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155 He, Xiaoming; Lin, Tao; Lin, Yanping 109 2011 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 87 2008 Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018 Kafafy, R.; Lin, T.; Lin, Y.; Wang, J. 64 2005 The immersed finite volume element methods for the elliptic interface problems. Zbl 1027.65155 Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping 63 1999 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165 He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 60 2013 Linear and bilinear immersed finite elements for planar elasticity interface problems. Zbl 1247.74061 Lin, Tao; Zhang, Xu 52 2012 A locking-free immersed finite element method for planar elasticity interface problems. Zbl 1349.74328 Lin, Tao; Sheen, Dongwoo; Zhang, Xu 47 2013 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 46 2012 On convergence toward an extreme value distribution in \(C[0,1]\). Zbl 1010.62016 de Haan, Laurens; Lin, Tao 46 2001 A rectangular immersed finite element space for interface problems. Zbl 1019.65092 Lin, Tao; Lin, Yanping; Rogers, Robert; Ryan, M. Lynne 45 2001 A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients. Zbl 1177.65118 Adjerid, Slimane; Lin, Tao 43 2009 An immersed discontinuous finite element method for Stokes interface problems. Zbl 1423.76200 Adjerid, Slimane; Chaabane, Nabil; Lin, Tao 41 2015 Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010 He, Xiaoming; Lin, Tao; Lin, Yanping 35 2010 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225 He, X.-M.; Lin, T.; Lin, Y. 34 2009 Partially penalized immersed finite element methods for parabolic interface problems. Zbl 1334.65157 Lin, Tao; Yang, Qing; Zhang, Xu 34 2015 Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361 Guo, Ruchi; Lin, Tao; Zhuang, Qiao 33 2019 A group of immersed finite-element spaces for elliptic interface problems. Zbl 1483.65184 Guo, Ruchi; Lin, Tao 32 2019 A priori error estimates for some discontinuous Galerkin immersed finite element methods. Zbl 1331.65154 Lin, Tao; Yang, Qing; Zhang, Xu 30 2015 A higher degree immersed finite element method based on a Cauchy extension for elliptic interface problems. Zbl 1420.65122 Guo, Ruchi; Lin, Tao 30 2019 Petrov-Galerkin methods for linear Volterra integro-differential equations. Zbl 0983.65138 Lin, Tao; Lin, Yanping; Rao, Ming; Zhang, Shuhua 29 2000 Quadratic immersed finite element spaces and their approximation capabilities. Zbl 1095.65102 Camp, Brian; Lin, Tao; Lin, Yanping; Sun, Weiwei 29 2006 An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207 Guo, Ruchi; Lin, Tao 29 2020 Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts. Zbl 1008.78500 Banks, H. T.; Buksas, M. W.; Lin, T. 28 2000 A nonconforming immersed finite element method for elliptic interface problems. Zbl 1415.65260 Lin, Tao; Sheen, Dongwoo; Zhang, Xu 28 2019 Nonconforming immersed finite element spaces for elliptic interface problems. Zbl 1409.82015 Guo, Ruchi; Lin, Tao; Zhang, Xu 27 2018 Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. Zbl 1136.65102 Lin, Tao; Lin, Yanping; Sun, Weiwei 24 2007 A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126 He, Xiaoming; Lin, Tao; Lin, Yanping 24 2014 High degree immersed finite element spaces by a least squares method. Zbl 1429.65291 Adjerid, Slimane; Guo, Ruchi; Lin, Tao 23 2017 A posteriori error estimate for a modified weak Galerkin method solving elliptic problems. Zbl 1365.65240 Zhang, Tie; Lin, Tao 22 2017 A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions. Zbl 1349.76212 Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph 21 2016 Higher-order immersed discontinuous Galerkin methods. Zbl 1124.65069 Adjerid, Slimane; Lin, Tao 19 2007 An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. Zbl 1351.78045 Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 19 2015 An adaptive GSM-CFD solver and its application to shock-wave boundary layer interaction. Zbl 1356.76153 Yao, Jianyao; Lin, Tao; Liu, G. R.; Chen, C. L. 17 2015 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112 Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 Immersed finite element methods for 4th order differential equations. Zbl 1219.65135 Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z. 16 2011 Error estimates for a partially penalized immersed finite element method for elasticity interface problems. Zbl 1442.74228 Guo, Ruchi; Lin, Tao; Lin, Yanping 15 2020 A fixed mesh method with immersed finite elements for solving interface inverse problems. Zbl 1458.74135 Guo, Ruchi; Lin, Tao; Lin, Yanping 15 2019 Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174 Guo, Ruchi; Lin, Tao; Lin, Yanping 15 2019 Higher-order immersed finite element spaces for second-order elliptic interface problems with quadratic interface. Zbl 1319.65110 Ben-Romdhane, Mohamed; Adjerid, Slimane; Lin, Tao 14 2014 Competing spreading dynamics in simplicial complex. Zbl 1510.92218 Li, WenYao; Xue, Xiaoyu; Pan, Liming; Lin, Tao; Wang, Wei 14 2022 An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems. Zbl 1418.65187 Zhang, Tie; Lin, Tao 14 2019 An immersed discontinuous finite element method for the Stokes problem with a moving interface. Zbl 1458.76061 Adjerid, Slimane; Chaabane, Nabil; Lin, Tao; Yue, Pengtao 14 2019 Phase transitions and hysteresis in nonlocal and order-parameter models. Zbl 0835.73005 Brandon, Deborah; Lin, Tao; Rogers, Robert C. 13 1995 Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems. Zbl 1428.65045 Lin, Tao; Zhuang, Qiao 13 2020 Immersed finite element method of lines for moving interface problems with nonhomogeneous flux jump. Zbl 1280.65100 Lin, Tao; Lin, Yanping; Zhang, Xu 13 2013 Higher degree immersed finite element methods for second-order elliptic interface problems. Zbl 1499.65639 Adjerid, Slimane; Ben-Romdhane, M.; Lin, Tao 13 2014 Asymptotic normality of extreme value estimators on \(C[0,1]\). Zbl 1091.62041 Einmahl, John H. J.; Lin, Tao 12 2006 Higher degree immersed finite element spaces constructed according to the actual interface. Zbl 1409.65087 Adjerid, Slimane; Ben-Romdhane, Mohamed; Lin, Tao 12 2018 Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media. Zbl 1452.65220 Adjerid, Slimane; Lin, Tao; Zhuang, Qiao 12 2020 Third order extended regular variation. Zbl 1164.26304 Fraga Alves, Isabel; de Haan, Laurens; Lin, Tao 11 2006 A stable weak Galerkin finite element method for Stokes problem. Zbl 1457.65224 Zhang, Tie; Lin, Tao 11 2018 Markovian approach to tackle competing pathogens in simplicial complex. Zbl 1510.92232 Nie, Yanyi; Li, Wenyao; Pan, Liming; Lin, Tao; Wang, Wei 11 2022 Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents. Zbl 1406.76054 Zhang, Huili; Lin, Tao; Lin, Yanping 11 2018 The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. Zbl 1267.65135 Lin, Tao; Sheen, Dongwoo 10 2013 Weak consistency of extreme value estimators in \(C[0,1]\). Zbl 1055.62059 de Haan, Laurens; Lin, Tao 9 2003 Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type. Zbl 1089.65118 Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua 9 2004 Solving interface problems of the Helmholtz equation by immersed finite element methods. Zbl 1449.65319 Lin, Tao; Lin, Yanping; Zhuang, Qiao 9 2019 Recovering elastic inclusions by shape optimization methods with immersed finite elements. Zbl 1453.74073 Guo, Ruchi; Lin, Tao; Lin, Yanping 9 2020 Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0998.65135 Lin, Tao; Lin, Yanping; Luo, Ping; Rao, Ming; Zhang, Shuhua 8 2001 Error analysis of an immersed finite element method for Euler-Bernoulli beam interface problems. Zbl 1375.74088 Lin, Min; Lin, Tao; Zhang, Huili 8 2017 A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. Zbl 1524.35666 Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 8 2018 Interpolated finite element methods for second order hyperbolic equations and their global superconvergence. Zbl 0792.65075 Lin, Qun; Wang, Hong; Lin, Tao 7 1993 Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0989.65151 Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming 6 2001 A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation. Zbl 1290.65101 Lin, Tao; Ye, Xiu 6 2013 An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. Zbl 07644843 Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao 6 2023 A mixed least-squares method for an inverse problem of a nonlinear beam equation. Zbl 0928.74101 Ewing, Richard E.; Lin, Tao; Lin, Yanping 5 1999 A Petrov Galerkin finite-element method for interface problems arising in sensitivity computations. Zbl 1087.65078 Burns, J. A.; Lin, T.; Stanley, L. G. 5 2005 Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. Zbl 1459.35095 Guo, Ruchi; Lin, Tao; Lin, Yanping; Zhuang, Qiao 5 2021 Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions. Zbl 1510.91136 Nie, Yanyi; Zhong, Xiaoni; Lin, Tao; Wang, Wei 5 2022 Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066 Ewing, Richard; Lin, Tao; Falk, Richard 3 1987 Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028 Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim 3 2010 Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 1058.65147 Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming 3 2000 The weak Galerkin finite element method for incompressible flow. Zbl 1397.76082 Zhang, Tie; Lin, Tao 3 2018 Some grid refinement schemes for hyperbolic equations with piecewise constant coefficients. Zbl 0741.65066 Lin, T.; Sochacki, J.; Ewing, R.; George, J. 3 1991 Direct numerical method for an inverse problem of hyperbolic equations. Zbl 0778.65084 Lin, Tao; Ewing, Richard E. 3 1992 GVFOM: a novel external force for active contour based image segmentation. Zbl 1456.94013 Zhang, Ziyang; Duan, Chenrui; Lin, Tao; Zhou, Shoujun; Wang, Yuanquan; Gao, Xuedong 3 2020 Parameter identification problems in single-phase and two-phase flow. Zbl 0686.93016 Ewing, Richard E.; Lin, Tao 2 1989 ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces. Zbl 0817.65078 Wang, H.; Dahle, H. K.; Ewing, R. E.; Lin, T.; Våg, J. E. 2 1994 A class of error estimators based on interpolating the finite element solutions for reaction-diffusion equations. Zbl 0831.65096 Lin, Tao; Wang, Hong 2 1995 Accurate computation of the field in Pippard’s nonlocal superconductivity model. Zbl 0838.65135 Lin, Tao; Rogers, Robert C. 2 1995 A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping. Zbl 1013.74072 Lin, Tao; Russell, D. L. 2 2001 Recovering the gradients of the solutions of second order hyperbolic equations by interpolating the finite element solutions. Zbl 1360.76147 Lin, Tao; Wang, Hong 2 1995 Generalized \(k\)-core percolation on higher-order dependent networks. Zbl 1511.91107 Wang, Wei; Li, Wenyao; Lin, Tao; Wu, Tao; Pan, Liming; Liu, Yanbing 2 2022 A finite element method for an initial value inverse problem with overspecified boundary data. Zbl 0904.35099 Lin, Tao; Zhang, Bingyu 1 1997 A numerical method for parameter identification of a boundary value problem. Zbl 0933.65084 Lin, Tao; Ramirez, Edgardo 1 1998 Parameter estimation for distributed systems arising in fluid flow problems via time series methods. Zbl 0604.93015 Lin, Tao; Ewing, Richard 1 1986 Numerical interfaces in finite difference methods for hyperbolic equations with discontinuous coefficients. Zbl 1360.65214 Lin, Tao 1 1993 Coupled propagation dynamics on multiplex activity-driven networks. Zbl 07534083 Hu, Ping; Geng, Dongqing; Lin, Tao; Ding, Li 1 2021 An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media. Zbl 07620353 Adjerid, Slimane; Lin, Tao; Meghaichi, Haroun 1 2023 Viscosity solutions to the infinity Laplacian equation with strong absorptions. Zbl 1503.35066 Lin, Tao; Liu, Fang 1 2022 A development of a GSM-CFD solver for non-Newtonian flows. Zbl 1390.76678 Lin, Tao; Liu, G. R. 1 2017 An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. Zbl 07644843 Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao 6 2023 An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media. Zbl 07620353 Adjerid, Slimane; Lin, Tao; Meghaichi, Haroun 1 2023 Competing spreading dynamics in simplicial complex. Zbl 1510.92218 Li, WenYao; Xue, Xiaoyu; Pan, Liming; Lin, Tao; Wang, Wei 14 2022 Markovian approach to tackle competing pathogens in simplicial complex. Zbl 1510.92232 Nie, Yanyi; Li, Wenyao; Pan, Liming; Lin, Tao; Wang, Wei 11 2022 Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions. Zbl 1510.91136 Nie, Yanyi; Zhong, Xiaoni; Lin, Tao; Wang, Wei 5 2022 Generalized \(k\)-core percolation on higher-order dependent networks. Zbl 1511.91107 Wang, Wei; Li, Wenyao; Lin, Tao; Wu, Tao; Pan, Liming; Liu, Yanbing 2 2022 Viscosity solutions to the infinity Laplacian equation with strong absorptions. Zbl 1503.35066 Lin, Tao; Liu, Fang 1 2022 Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. Zbl 1459.35095 Guo, Ruchi; Lin, Tao; Lin, Yanping; Zhuang, Qiao 5 2021 Coupled propagation dynamics on multiplex activity-driven networks. Zbl 07534083 Hu, Ping; Geng, Dongqing; Lin, Tao; Ding, Li 1 2021 An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207 Guo, Ruchi; Lin, Tao 29 2020 Error estimates for a partially penalized immersed finite element method for elasticity interface problems. Zbl 1442.74228 Guo, Ruchi; Lin, Tao; Lin, Yanping 15 2020 Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems. Zbl 1428.65045 Lin, Tao; Zhuang, Qiao 13 2020 Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media. Zbl 1452.65220 Adjerid, Slimane; Lin, Tao; Zhuang, Qiao 12 2020 Recovering elastic inclusions by shape optimization methods with immersed finite elements. Zbl 1453.74073 Guo, Ruchi; Lin, Tao; Lin, Yanping 9 2020 GVFOM: a novel external force for active contour based image segmentation. Zbl 1456.94013 Zhang, Ziyang; Duan, Chenrui; Lin, Tao; Zhou, Shoujun; Wang, Yuanquan; Gao, Xuedong 3 2020 Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361 Guo, Ruchi; Lin, Tao; Zhuang, Qiao 33 2019 A group of immersed finite-element spaces for elliptic interface problems. Zbl 1483.65184 Guo, Ruchi; Lin, Tao 32 2019 A higher degree immersed finite element method based on a Cauchy extension for elliptic interface problems. Zbl 1420.65122 Guo, Ruchi; Lin, Tao 30 2019 A nonconforming immersed finite element method for elliptic interface problems. Zbl 1415.65260 Lin, Tao; Sheen, Dongwoo; Zhang, Xu 28 2019 A fixed mesh method with immersed finite elements for solving interface inverse problems. Zbl 1458.74135 Guo, Ruchi; Lin, Tao; Lin, Yanping 15 2019 Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174 Guo, Ruchi; Lin, Tao; Lin, Yanping 15 2019 An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems. Zbl 1418.65187 Zhang, Tie; Lin, Tao 14 2019 An immersed discontinuous finite element method for the Stokes problem with a moving interface. Zbl 1458.76061 Adjerid, Slimane; Chaabane, Nabil; Lin, Tao; Yue, Pengtao 14 2019 Solving interface problems of the Helmholtz equation by immersed finite element methods. Zbl 1449.65319 Lin, Tao; Lin, Yanping; Zhuang, Qiao 9 2019 Nonconforming immersed finite element spaces for elliptic interface problems. Zbl 1409.82015 Guo, Ruchi; Lin, Tao; Zhang, Xu 27 2018 Higher degree immersed finite element spaces constructed according to the actual interface. Zbl 1409.65087 Adjerid, Slimane; Ben-Romdhane, Mohamed; Lin, Tao 12 2018 A stable weak Galerkin finite element method for Stokes problem. Zbl 1457.65224 Zhang, Tie; Lin, Tao 11 2018 Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents. Zbl 1406.76054 Zhang, Huili; Lin, Tao; Lin, Yanping 11 2018 A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. Zbl 1524.35666 Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 8 2018 The weak Galerkin finite element method for incompressible flow. Zbl 1397.76082 Zhang, Tie; Lin, Tao 3 2018 High degree immersed finite element spaces by a least squares method. Zbl 1429.65291 Adjerid, Slimane; Guo, Ruchi; Lin, Tao 23 2017 A posteriori error estimate for a modified weak Galerkin method solving elliptic problems. Zbl 1365.65240 Zhang, Tie; Lin, Tao 22 2017 Error analysis of an immersed finite element method for Euler-Bernoulli beam interface problems. Zbl 1375.74088 Lin, Min; Lin, Tao; Zhang, Huili 8 2017 A development of a GSM-CFD solver for non-Newtonian flows. Zbl 1390.76678 Lin, Tao; Liu, G. R. 1 2017 A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions. Zbl 1349.76212 Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph 21 2016 Partially penalized immersed finite element methods for elliptic interface problems. Zbl 1316.65104 Lin, Tao; Lin, Yanping; Zhang, Xu 139 2015 An immersed discontinuous finite element method for Stokes interface problems. Zbl 1423.76200 Adjerid, Slimane; Chaabane, Nabil; Lin, Tao 41 2015 Partially penalized immersed finite element methods for parabolic interface problems. Zbl 1334.65157 Lin, Tao; Yang, Qing; Zhang, Xu 34 2015 A priori error estimates for some discontinuous Galerkin immersed finite element methods. Zbl 1331.65154 Lin, Tao; Yang, Qing; Zhang, Xu 30 2015 An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. Zbl 1351.78045 Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 19 2015 An adaptive GSM-CFD solver and its application to shock-wave boundary layer interaction. Zbl 1356.76153 Yao, Jianyao; Lin, Tao; Liu, G. R.; Chen, C. L. 17 2015 A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126 He, Xiaoming; Lin, Tao; Lin, Yanping 24 2014 Higher-order immersed finite element spaces for second-order elliptic interface problems with quadratic interface. Zbl 1319.65110 Ben-Romdhane, Mohamed; Adjerid, Slimane; Lin, Tao 14 2014 Higher degree immersed finite element methods for second-order elliptic interface problems. Zbl 1499.65639 Adjerid, Slimane; Ben-Romdhane, M.; Lin, Tao 13 2014 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165 He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 60 2013 A locking-free immersed finite element method for planar elasticity interface problems. Zbl 1349.74328 Lin, Tao; Sheen, Dongwoo; Zhang, Xu 47 2013 Immersed finite element method of lines for moving interface problems with nonhomogeneous flux jump. Zbl 1280.65100 Lin, Tao; Lin, Yanping; Zhang, Xu 13 2013 The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. Zbl 1267.65135 Lin, Tao; Sheen, Dongwoo 10 2013 A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation. Zbl 1290.65101 Lin, Tao; Ye, Xiu 6 2013 Linear and bilinear immersed finite elements for planar elasticity interface problems. Zbl 1247.74061 Lin, Tao; Zhang, Xu 52 2012 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 46 2012 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155 He, Xiaoming; Lin, Tao; Lin, Yanping 109 2011 Immersed finite element methods for 4th order differential equations. Zbl 1219.65135 Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z. 16 2011 Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010 He, Xiaoming; Lin, Tao; Lin, Yanping 35 2010 Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028 Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim 3 2010 A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients. Zbl 1177.65118 Adjerid, Slimane; Lin, Tao 43 2009 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225 He, X.-M.; Lin, T.; Lin, Y. 34 2009 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 87 2008 Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. Zbl 1136.65102 Lin, Tao; Lin, Yanping; Sun, Weiwei 24 2007 Higher-order immersed discontinuous Galerkin methods. Zbl 1124.65069 Adjerid, Slimane; Lin, Tao 19 2007 Quadratic immersed finite element spaces and their approximation capabilities. Zbl 1095.65102 Camp, Brian; Lin, Tao; Lin, Yanping; Sun, Weiwei 29 2006 Asymptotic normality of extreme value estimators on \(C[0,1]\). Zbl 1091.62041 Einmahl, John H. J.; Lin, Tao 12 2006 Third order extended regular variation. Zbl 1164.26304 Fraga Alves, Isabel; de Haan, Laurens; Lin, Tao 11 2006 Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018 Kafafy, R.; Lin, T.; Lin, Y.; Wang, J. 64 2005 A Petrov Galerkin finite-element method for interface problems arising in sensitivity computations. Zbl 1087.65078 Burns, J. A.; Lin, T.; Stanley, L. G. 5 2005 An immersed finite element space and its approximation capability. Zbl 1057.65085 Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 124 2004 Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type. Zbl 1089.65118 Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua 9 2004 New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130 Li, Zhilin; Lin, Tao; Wu, Xiaohui 249 2003 Weak consistency of extreme value estimators in \(C[0,1]\). Zbl 1055.62059 de Haan, Laurens; Lin, Tao 9 2003 On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084 Ewing, Richard E.; Lin, Tao; Lin, Yanping 191 2002 On convergence toward an extreme value distribution in \(C[0,1]\). Zbl 1010.62016 de Haan, Laurens; Lin, Tao 46 2001 A rectangular immersed finite element space for interface problems. Zbl 1019.65092 Lin, Tao; Lin, Yanping; Rogers, Robert; Ryan, M. Lynne 45 2001 Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0998.65135 Lin, Tao; Lin, Yanping; Luo, Ping; Rao, Ming; Zhang, Shuhua 8 2001 Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0989.65151 Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming 6 2001 A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping. Zbl 1013.74072 Lin, Tao; Russell, D. L. 2 2001 Petrov-Galerkin methods for linear Volterra integro-differential equations. Zbl 0983.65138 Lin, Tao; Lin, Yanping; Rao, Ming; Zhang, Shuhua 29 2000 Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts. Zbl 1008.78500 Banks, H. T.; Buksas, M. W.; Lin, T. 28 2000 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112 Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 1058.65147 Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming 3 2000 The immersed finite volume element methods for the elliptic interface problems. Zbl 1027.65155 Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping 63 1999 A mixed least-squares method for an inverse problem of a nonlinear beam equation. Zbl 0928.74101 Ewing, Richard E.; Lin, Tao; Lin, Yanping 5 1999 A numerical method for parameter identification of a boundary value problem. Zbl 0933.65084 Lin, Tao; Ramirez, Edgardo 1 1998 A finite element method for an initial value inverse problem with overspecified boundary data. Zbl 0904.35099 Lin, Tao; Zhang, Bingyu 1 1997 Phase transitions and hysteresis in nonlocal and order-parameter models. Zbl 0835.73005 Brandon, Deborah; Lin, Tao; Rogers, Robert C. 13 1995 A class of error estimators based on interpolating the finite element solutions for reaction-diffusion equations. Zbl 0831.65096 Lin, Tao; Wang, Hong 2 1995 Accurate computation of the field in Pippard’s nonlocal superconductivity model. Zbl 0838.65135 Lin, Tao; Rogers, Robert C. 2 1995 Recovering the gradients of the solutions of second order hyperbolic equations by interpolating the finite element solutions. Zbl 1360.76147 Lin, Tao; Wang, Hong 2 1995 ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces. Zbl 0817.65078 Wang, H.; Dahle, H. K.; Ewing, R. E.; Lin, T.; Våg, J. E. 2 1994 Interpolated finite element methods for second order hyperbolic equations and their global superconvergence. Zbl 0792.65075 Lin, Qun; Wang, Hong; Lin, Tao 7 1993 Numerical interfaces in finite difference methods for hyperbolic equations with discontinuous coefficients. Zbl 1360.65214 Lin, Tao 1 1993 Direct numerical method for an inverse problem of hyperbolic equations. Zbl 0778.65084 Lin, Tao; Ewing, Richard E. 3 1992 Some grid refinement schemes for hyperbolic equations with piecewise constant coefficients. Zbl 0741.65066 Lin, T.; Sochacki, J.; Ewing, R.; George, J. 3 1991 Parameter identification problems in single-phase and two-phase flow. Zbl 0686.93016 Ewing, Richard E.; Lin, Tao 2 1989 Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066 Ewing, Richard; Lin, Tao; Falk, Richard 3 1987 Parameter estimation for distributed systems arising in fluid flow problems via time series methods. Zbl 0604.93015 Lin, Tao; Ewing, Richard 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 1,056 Authors 45 Lin, Tao 25 Zhang, Xu 20 Bi, Chunjia 20 Chen, Chuanjun 20 He, Xiaoming 19 Kwak, Do Young 19 Lin, Yanping 18 Chen, Yanping 18 Ji, Haifeng 18 Li, Zhilin 18 Zhang, Zhiyue 18 Zou, Qingsong 17 Banks, Harvey Thomas 17 Chen, Jinru 17 Wang, Liqun 16 Guo, Ruchi 16 Zhang, Tie 15 Hou, Songming 15 Huang, Yunqing 13 Cao, Yong 13 Li, Yonghai 12 Adjerid, Slimane 12 Yang, Min 12 Zhang, Zhimin 11 Dehghan Takht Fooladi, Mehdi 10 Deka, Bhupen 10 Falk, Michael 10 Jo, Gwanghyun 10 Li, Jian 10 Shi, Liwei 10 Wei, Guowei 10 Ye, Xiu 10 Zhang, Tong 9 de Haan, Laurens 9 Wang, Feng 9 Wang, Quanxiang 9 Zhang, Shangyou 9 Zhao, Shan 9 Zhou, Yanhui 8 Sinha, Rajen Kumar 8 Song, Lina 8 Wu, Jiming 8 Yi, Lijun 8 Zhang, Qian 7 Bokil, Vrushali A. 7 Chen, Long 7 Gibson, Nathan L. 7 Mu, Lin 7 Rui, Hongxing 7 Wang, Junping 7 Wang, Xiang 7 Wang, Yang 7 Ying, Wenjun 7 Yuan, Guangwei 7 Zhao, Xin 6 Cao, Waixiang 6 Chen, Zhangxin 6 Chou, So-Hsiang 6 Gharibi, Zeinab 6 He, Yinnian 6 Jeon, Youngmok 6 Kumar, Sarvesh 6 Wang, Cheng 6 Xia, Kelin 6 Zhang, Yuanyuan 6 Zhuang, Qiao 5 Aulbach, Stefan 5 Cao, Shuhao 5 Chen, Zhongying 5 Chu, Yuchuan 5 Ginting, Victor 5 Guo, Hailong 5 Hofmann, Martin 5 Liu, Jiangguo 5 Liu, Wei 5 Mikosch, Thomas 5 Sun, Pengtao 5 Xiao, Yuanming 5 Xie, Yingying 5 Yang, Xu 5 Yi, Huaming 5 Zhang, Qinghui 5 Zhang, Shuhua 5 Zhong, Liuqiang 4 Abbaszadeh, Mostafa 4 Attanayake, Champike 4 Babuška, Ivo 4 Bai, Jinwei 4 Chen, Huanzhen 4 Chen, Yuan 4 Chu, Xiaochen 4 Dombry, Clément 4 Dong, Haixia 4 Feng, Xinlong 4 Leal de Carvalho Gomes, Maria Ivette 4 Guo, Liming 4 Guzmán, Johnny 4 He, Guoliang 4 Hult, Henrik 4 Jia, Shanghui ...and 956 more Authors all top 5 Cited in 147 Serials 78 Journal of Computational and Applied Mathematics 72 Journal of Computational Physics 50 Numerical Methods for Partial Differential Equations 48 Computers & Mathematics with Applications 47 Journal of Scientific Computing 43 Applied Numerical Mathematics 40 Computer Methods in Applied Mechanics and Engineering 28 Applied Mathematics and Computation 24 Advances in Computational Mathematics 17 International Journal of Numerical Analysis and Modeling 16 Advances in Applied Mathematics and Mechanics 13 Numerische Mathematik 13 SIAM Journal on Numerical Analysis 13 Extremes 11 International Journal for Numerical Methods in Engineering 11 Communications in Computational Physics 10 Mathematics of Computation 10 SIAM Journal on Scientific Computing 9 Applied Mathematics Letters 9 International Journal of Computer Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Numerical Algorithms 7 Engineering Analysis with Boundary Elements 7 Mathematical Problems in Engineering 6 BIT 6 Computational and Applied Mathematics 6 Computational Methods in Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 The Annals of Statistics 5 Calcolo 5 Journal of Statistical Planning and Inference 5 Numerical Functional Analysis and Optimization 5 Stochastic Processes and their Applications 5 Communications in Nonlinear Science and Numerical Simulation 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Science China. Mathematics 4 Mathematics and Computers in Simulation 4 Quarterly of Applied Mathematics 4 Mathematical and Computer Modelling 4 M\(^3\)AS. 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Applied Mathematics and Mechanics. (English Edition) 2 Results in Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Computing 1 International Statistical Review 1 Journal of the American Statistical Association 1 Journal of the Korean Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistica Neerlandica 1 Optimal Control Applications & Methods 1 Mathematica Numerica Sinica 1 Insurance Mathematics & Economics ...and 47 more Serials all top 5 Cited in 34 Fields 711 Numerical analysis (65-XX) 430 Partial differential equations (35-XX) 151 Fluid mechanics (76-XX) 85 Mechanics of deformable solids (74-XX) 60 Probability theory and stochastic processes (60-XX) 45 Optics, electromagnetic theory (78-XX) 44 Statistics (62-XX) 32 Integral equations (45-XX) 27 Statistical mechanics, structure of matter (82-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 21 Biology and other natural sciences (92-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Ordinary differential equations (34-XX) 8 Computer science (68-XX) 6 Approximations and expansions (41-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year