Edit Profile (opens in new tab) Lin, Yanping Compute Distance To: Compute Author ID: lin.yanping Published as: Lin, Yanping; Lin, Y.; Lin, Yan-Ping; Lin, Yangping; Lin, Yan-ping; Lin, Yan Ping; Lin, Y. P. Homepage: http://www.math.ualberta.ca/~ylin/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 184 Publications since 1986 1 Contribution as Editor Co-Authors: 106 Co-Authors with 167 Joint Publications 4,659 Co-Co-Authors all top 5 Co-Authors 16 single-authored 31 Allegretto, Walter 30 Lin, Tao 24 Cannon, John Rozier 14 Ewing, Richard Edward 11 Cao, Liqun 10 He, Xiaoming 10 Zhang, Shuhua 9 Zhang, Tie 8 Tait, Robert J. 6 Bi, Chunjia 6 He, Yinnian 6 Rao, Ming 6 Sun, Weiwei 6 Wang, Junping 6 Wang, Shingmin 5 Guo, Ruchi 5 Ma, Shuqing 5 Wang, Cheng 5 Yang, Min 5 Yin, Hongming 5 Zhang, Zhiyong 4 Lazarov, Raytcho D. 4 Li, Jichun 4 Ma, Chupeng 4 Xu, Shuzhan 4 Yang, Hongtao 4 Zhang, Qingling 4 Zhang, Xu 4 Zhou, Aihui 3 Huang, Yunqing 3 Liu, James Hetao 3 Liu, Jiangguo 2 Chen, Peimin 2 Chen, Tongwen 2 Li, Guangrui 2 Li, Jian 2 Li, Wanshan 2 Li, Zhilin 2 Liang, Dong 2 Liu, Xi 2 Marquez, Horacio Jose 2 Mei, Ming 2 Rogers, Robert C. 2 Wang, Kun 2 Yang, Chunyu 2 Yang, Xiaozhong 2 Zhang, Guofeng 2 Zhang, Lei 2 Zhang, Ya 2 Zhou, Linna 2 Zhuang, Qiao 2 Zou, Qingsong 1 Azari, Hossein 1 Brunner, Hermann 1 Cai, Wentao 1 Camp, Brian 1 Chang, Qiangshun 1 Chen, Guanrong 1 Fairweather, Graeme 1 Feng, Wenqiang 1 Fu, Zeng-Liang 1 Gao, Yali 1 Geng, Shifeng 1 He, Xiqin 1 Huang, Jizu 1 Jing, Haiying 1 Jones, B. Frank jun. 1 Kafafy, R. 1 Kou, Yanli 1 Li, Buyang 1 Lin, Chikun 1 Lin, Chitien 1 Lin, Qun 1 Liu, Jianjun 1 Liu, Jing 1 Liu, Shijie 1 Liu, Tang 1 Luo, Ping 1 Ma, Chenglu 1 Matheson, Alec L. 1 Mei, Liquan 1 Minev, Peter Dimitrov 1 Ming, Ju 1 Qiu, Changxin 1 Rui, Hongxing 1 Ryan, M. Lynne 1 Shen, Samuel Shan-Pu 1 Shen, Semuel S. P. 1 Shi, Dongyang 1 Su, Yong-Lin 1 Sun, Tong 1 Thomée, Vidar 1 van der Hoek, John 1 Wahlbin, Lars B. 1 Wang, Chengtao 1 Wong, Yau Shu 1 Xie, Chongyuan 1 Yan, Ningning 1 Yao, Changhui 1 Ye, Ming ...and 6 more Co-Authors all top 5 Serials 13 SIAM Journal on Numerical Analysis 11 Numerical Methods for Partial Differential Equations 9 International Journal of Numerical Analysis and Modeling 8 Journal of Mathematical Analysis and Applications 7 Journal of Computational Mathematics 6 Discrete and Continuous Dynamical Systems 6 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 6 Discrete and Continuous Dynamical Systems. Series B 5 International Journal of Engineering Science 5 Inverse Problems 5 Journal of Computational and Applied Mathematics 4 Journal of Scientific Computing 4 SIAM Journal on Mathematical Analysis 3 Computers & Mathematics with Applications 3 Calcolo 3 Applied Numerical Mathematics 3 Journal of Integral Equations and Applications 3 Applications of Mathematics 3 SIAM Journal on Scientific Computing 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Communications in Computational Physics 2 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Numerical Analysis 2 Journal of Computational Physics 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 International Journal of Mathematics and Mathematical Sciences 2 Numerical Mathematics 2 Differential and Integral Equations 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Advances in Computational Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Systems Science and Complexity 2 International Journal of Numerical Analysis and Modeling. Series B 1 Applicable Analysis 1 International Journal of Systems Science 1 Journal of the Australian Mathematical Society, Series B 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Chinese Journal of Mathematics 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Mathematica Numerica Sinica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Mathematicae Applicatae Sinica 1 European Journal of Applied Mathematics 1 Systems Science and Mathematical Sciences 1 Acta Mathematica Universitatis Comenianae. New Series 1 Aequationes Mathematicae 1 International Journal of Robust and Nonlinear Control 1 Electronic Journal of Differential Equations (EJDE) 1 East-West Journal of Numerical Mathematics 1 Advances in Differential Equations 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Shanghai Jiaotong University (Science) 1 Advances in Computation: Theory and Practice 1 Advances in Applied Mathematics and Mechanics 1 Nonlinear Analysis. Theory, Methods & Applications 1 IEEE Transactions on Circuits and Systems I: Regular Papers 1 Communications on Applied Mathematics and Computation all top 5 Fields 125 Numerical analysis (65-XX) 107 Partial differential equations (35-XX) 37 Integral equations (45-XX) 28 Fluid mechanics (76-XX) 15 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 5 Ordinary differential equations (34-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Probability theory and stochastic processes (60-XX) 2 Difference and functional equations (39-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 2,801 times in 1,530 Documents Cited by ▼ Year ▼ On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084Ewing, Richard E.; Lin, Tao; Lin, Yanping 167 2002 An immersed finite element space and its approximation capability. Zbl 1057.65085Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 98 2004 Partially penalized immersed finite element methods for elliptic interface problems. Zbl 1316.65104Lin, Tao; Lin, Yanping; Zhang, Xu 98 2015 Semilinear integrodifferential equations with nonlocal Cauchy problem. Zbl 0916.45014Lin, Yanping; Liu, James H. 90 1996 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155He, Xiaoming; Lin, Tao; Lin, Yanping 85 2011 An inverse problem of finding a parameter in a semi-linear heat equation. Zbl 0727.35137Cannon, J. R.; Lin, Yanping 84 1990 Ritz-Volterra projections to finite-element spaces and applications to integrodifferential and related equations. Zbl 0728.65117Lin, Yanping; Thomée, Vidar; Wahlbin, Lars B. 82 1991 Determination of source parameter in parabolic equations. Zbl 0767.35105Cannon, J. R.; Lin, Yanping; Wang, Shingmin 76 1992 A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation. Zbl 0683.65106Wang, Shingmin; Lin, Yanping 69 1989 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 69 2000 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090He, Xiaoming; Lin, Tao; Lin, Yanping 68 2008 A priori \(L^ 2\) error estimates for finite-element methods for nonlinear diffusion equations with memory. Zbl 0709.65122Cannon, J. R.; Lin, Yanping 64 1990 Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133Cannon, J. R.; Lin, Yanping; Xu, Shuzhan 62 1994 The immersed finite volume element methods for the elliptic interface problems. Zbl 1027.65155Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping 52 1999 Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162Cannon, John R.; Lin, Yanping 51 1988 Exponential stability of nonmonotone traveling waves for Nicholson’s blowflies equation. Zbl 1295.35171Lin, Chi-Kun; Lin, Chi-Tien; Lin, Yanping; Mei, Ming 49 2014 Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018Kafafy, R.; Lin, T.; Lin, Y.; Wang, J. 45 2005 Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124Cannon, J. R.; Lin, Y. 44 1988 A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1325.76119He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju 42 2015 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 41 2013 Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104Cannon, J. R.; Lin, Yanping 38 1988 An implicit finite difference scheme for the diffusion equation subject to mass specification. Zbl 0721.65046Cannon, John R.; Lin, Yanping; Wang, Shingmin 36 1990 The solution of the diffusion equation in two space variables subject to the specification of mass. Zbl 0795.35137Cannon, John R.; Lin, Yanping; Matheson, Alec 36 1993 Developing finite element methods for Maxwell’s equations in a Cole-Cole dispersive medium. Zbl 1238.65097Li, Jichun; Huang, Yunqing; Lin, Yanping 36 2011 Determination of a control parameter in a parabolic partial differential equation. Zbl 0767.93047Cannon, J. R.; Lin, Yanping; Wang, Shingmin 34 1991 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090He, Xiaoming; Lin, Tao; Lin, Yanping 34 2012 A numerical method for the diffusion equation with nonlocal boundary specifications. Zbl 0718.76096Wang, Shingmin; Lin, Yanping 33 1990 A rectangular immersed finite element space for interface problems. Zbl 1019.65092Lin, Tao; Lin, Yanping; Rogers, Robert; Ryan, M. Lynne 33 2001 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225He, X.-M.; Lin, T.; Lin, Y. 29 2009 Finite element error estimates for a nonlocal problem in American option valuation. Zbl 0996.91064Allegretto, Walter; Lin, Yanping; Yang, Hongtao 28 2001 Quadratic immersed finite element spaces and their approximation capabilities. Zbl 1095.65102Camp, Brian; Lin, Tao; Lin, Yanping; Sun, Weiwei 27 2006 Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010He, Xiaoming; Lin, Tao; Lin, Yanping 27 2010 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052Ewing, R. E.; Lazarov, R. D.; Lin, Y. 26 2000 Sharp L\(^{2}\)-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. Zbl 1044.76032Ewing, Richard E.; Lin, Yanping; Sun, Tong; Wang, Junping; Zhang, Shuhua 26 2002 Multiscale asymptotic method for Maxwell’s equations in composite materials. Zbl 1218.65126Cao, Liqun; Zhang, Ya; Allegretto, Walter; Lin, Yanping 26 2010 Analytical and numerical solutions for a class of nonlocal nonlinear parabolic differential equations. Zbl 0807.35069Lin, Yanping 25 1994 Petrov-Galerkin methods for linear Volterra integro-differential equations. Zbl 0983.65138Lin, Tao; Lin, Yanping; Rao, Ming; Zhang, Shuhua 25 2000 Numerical solutions for second-kind Volterra integral equations by Galerkin methods. Zbl 1058.65148Zhang, Shuhua; Lin, Yanping; Rao, Ming 24 2000 Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. Zbl 0753.65080Lin, Yanping; Zhang, Tie 23 1992 Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. Zbl 1136.65102Lin, Tao; Lin, Yanping; Sun, Weiwei 21 2007 \(L^2\) error estimates for a class of any order finite volume schemes over quadrilateral meshes. Zbl 1327.65208Lin, Yanping; Yang, Min; Zou, Qingsong 21 2015 Stabilized finite element method for the non-stationary Navier-Stokes problem. Zbl 1089.76033He, Yinnian; Lin, Yanping; Sun, Weiwei 20 2006 A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054Cannon, John R.; Lin, Yanping 18 1990 A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033Li, Wanshan; Liang, Dong; Lin, Yanping 18 2013 Positive realness and absolute stability problem of descriptor systems. Zbl 1374.93292Yang, Chunyu; Zhang, Qingling; Lin, Yanping; Zhou, Linna 18 2007 A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping 17 1999 A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023Allegretto, Walter; Lin, Yanping; Zhou, Aihui 16 1999 Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions. Zbl 0703.65095Lin, Yanping 16 1990 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126He, Xiaoming; Lin, Tao; Lin, Yanping 16 2014 Finite element approximation for the viscoelastic fluid motion problem. Zbl 1014.76041He, Yinnian; Lin, Yanping; Shen, Samuel S. P.; Sun, Weiwei; Tait, Robert 16 2003 Finite difference approximations for a class of nonlocal parabolic equations. Zbl 0880.65070Lin, Yanping; Xu, Shuzhan; Yin, Hong-Ming 16 1997 An inverse problem for a class of quasilinear parabolic equations. Zbl 0739.35106Lin, Yanping 16 1991 Immersed finite element method for interface problems with algebraic multigrid solver. Zbl 1388.65177Feng, Wenqiang; He, Xiaoming; Lin, Yanping; Zhang, Xu 16 2014 Finite volume element methods: an overview on recent developments. Zbl 1463.65349Lin, Yanping; Liu, Jiangguo; Yang, Min 16 2013 Multiscale asymptotic method for Steklov eigenvalue equations in composite media. Zbl 1267.65172Cao, Liqun; Zhang, Lei; Allegretto, Walter; Lin, Yanping 15 2013 \(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua 15 2005 Galerkin methods for nonlinear Sobolev equations. Zbl 0718.65067Lin, Yanping 14 1990 Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua 14 2006 On the convergence of viscoelastic fluid flows to a steady state. Zbl 1049.76014He, Yinnian; Lin, Yanping; Shen, Semuel S. P.; Tait, Robert 14 2002 A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping 14 2020 Existence and long time behaviour of solutions to obstacle thermistor equations. Zbl 1062.35187Allegretto, Walter; Lin, Yanping; Ma, Shuqing 13 2002 Immersed finite element methods for 4th order differential equations. Zbl 1219.65135Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z. 12 2011 On maximum norm estimates for Ritz-Volterra projection with applications to some time dependent problems. Zbl 0879.65097Lin, Y. P. 12 1997 Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods. Zbl 0944.65140Brunner, Hermann; Lin, Yanping; Zhang, Shuhua 11 1998 A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli 11 2017 Numerical procedures for recovering a time dependent coefficient in a parabolic differential equation. Zbl 1055.35132Azari, Hossein; Allegretto, Walter; Lin, Yanping; Zhang, Shuhua 11 2004 Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model. Zbl 1153.93505Liu, Xi; Marquez, Horacio J.; Lin, Yanping 11 2008 Immersed finite element method of lines for moving interface problems with nonhomogeneous flux jump. Zbl 1280.65100Lin, Tao; Lin, Yanping; Zhang, Xu 10 2013 Discontinuous Galerkin method for monotone nonlinear elliptic problems. Zbl 1268.65149Bi, Chunjia; Lin, Yanping 10 2012 Numerical pricing of American put options on zero-coupon bonds. Zbl 1057.91039Allegretto, Walter; Lin, Yanping; Yang, Hongtao 10 2003 A fixed mesh method with immersed finite elements for solving interface inverse problems. Zbl 1458.74135Guo, Ruchi; Lin, Tao; Lin, Yanping 10 2019 Nonlinear parabolic equations with nonlinear functionals. Zbl 0799.35125Lin, Yanping; Yin, Hong-Ming 9 1992 A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036Ewing, R. E.; Lin, Y.; Wang, J. 9 2001 Finite element methods for Sobolev equations. Zbl 1064.65112Liu, Tang; Lin, Yan-ping; Rao, Ming; Cannon, J. R. 9 2002 On a class of non-local parabolic boundary value problems. Zbl 0792.73018Lin, Y.; Tait, R. J. 9 1994 Studies on some perfectly matched layers for one-dimensional time-dependent systems. Zbl 1166.65042Lin, Yanping; Zhang, Kai; Zou, Jun 9 2009 Error estimates for a partially penalized immersed finite element method for elasticity interface problems. Zbl 1442.74228Guo, Ruchi; Lin, Tao; Lin, Yanping 9 2020 A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system. Zbl 1446.65110Gao, Yali; Li, Rui; Mei, Liquan; Lin, Yanping 9 2020 Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121Cannon, J. R.; Lin, Yanping; Xie, Chongyuan 8 1989 On the finite volume element version of Ritz-Volterra projection and applications to related equations. Zbl 1013.65143Zhang, Tie; Lin, Yanping; Tait, Robert J. 8 2002 Asymptotic analysis of the equations of motion for viscoelastic Oldroyd fluid. Zbl 1235.35229Wang, Kun; Lin, Yangping; He, Yinnian 8 2012 Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174Guo, Ruchi; Lin, Tao; Lin, Yanping 8 2019 Codimension-two bifurcations analysis and tracking control on a discrete epidemic model. Zbl 1338.93223Yi, Na; Zhang, Qingling; Liu, Peng; Lin, Yanping 8 2011 Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels. Zbl 0921.65095Lin, Yanping 7 1998 A mixed type boundary problem describing the propagation of disturbances in viscous media. I: Weak solutions for quasi-linear equations. Zbl 0672.35012Lin, Yan Ping 7 1988 A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems. Zbl 1398.65270Bi, Chunjia; Wang, Cheng; Lin, Yanping 7 2018 Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows. Zbl 1248.35164Wang, Kun; He, Yinnian; Lin, Yanping 7 2012 Finite volume element method for monotone nonlinear elliptic problems. Zbl 1276.65064Bi, Chunjia; Lin, Yanping; Yang, Min 7 2013 Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients. Zbl 1145.65067Allegretto, Walter; Cao, Liqun; Lin, Yanping 7 2008 Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0998.65135Lin, Tao; Lin, Yanping; Luo, Ping; Rao, Ming; Zhang, Shuhua 6 2001 Finite-difference approximations for a class of nonlocal parabolic boundary value problems. Zbl 0787.65060Lin, Yanping; Tait, R. J. 6 1993 The derivative patch interpolating recovery technique for finite element approximations. Zbl 1055.65132Zhang, Tie; Lin, Yanping; Tait, R. J. 6 2004 Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents. Zbl 1406.76054Zhang, Huili; Lin, Tao; Lin, Yanping 6 2018 Asymptotic behavior of solutions to Euler equations with time-dependent damping in critical case. Zbl 1437.35119Geng, Shifeng; Lin, Yanping; Mei, Ming 6 2020 A mixed least-squares method for an inverse problem of a nonlinear beam equation. Zbl 0928.74101Ewing, Richard E.; Lin, Tao; Lin, Yanping 5 1999 Long-time stability of finite element approximations for parabolic equations with memory. Zbl 0931.65136Allegretto, Walter; Lin, Yanping; Zhou, Aihui 5 1999 Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Zbl 0679.35056Cannon, John R.; Lin, Yanping 5 1988 Smooth solutions for an integro-differential equation of parabolic type. Zbl 0719.45007Cannon, John R.; Lin, Yanping 5 1989 Practical stability of closed-loop descriptor systems. Zbl 1111.93074Yang, C.; Zhang, Q.; Lin, Y.; Zhou, L. 5 2006 Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. Zbl 1459.35095Guo, Ruchi; Lin, Tao; Lin, Yanping; Zhuang, Qiao 2 2021 A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping 14 2020 Error estimates for a partially penalized immersed finite element method for elasticity interface problems. Zbl 1442.74228Guo, Ruchi; Lin, Tao; Lin, Yanping 9 2020 A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system. Zbl 1446.65110Gao, Yali; Li, Rui; Mei, Liquan; Lin, Yanping 9 2020 Asymptotic behavior of solutions to Euler equations with time-dependent damping in critical case. Zbl 1437.35119Geng, Shifeng; Lin, Yanping; Mei, Ming 6 2020 Recovering elastic inclusions by shape optimization methods with immersed finite elements. Zbl 1453.74073Guo, Ruchi; Lin, Tao; Lin, Yanping 3 2020 Energy conserving Galerkin finite element methods for the Maxwell-Klein-Gordon system. Zbl 1434.65270Ma, Chupeng; Cao, Liqun; Lin, Yanping 1 2020 A fixed mesh method with immersed finite elements for solving interface inverse problems. Zbl 1458.74135Guo, Ruchi; Lin, Tao; Lin, Yanping 10 2019 Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174Guo, Ruchi; Lin, Tao; Lin, Yanping 8 2019 Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor. Zbl 07037307Cai, Wentao; Li, Buyang; Lin, Yanping; Sun, Weiwei 5 2019 Solving interface problems of the Helmholtz equation by immersed finite element methods. Zbl 1449.65319Lin, Tao; Lin, Yanping; Zhuang, Qiao 4 2019 A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems. Zbl 1398.65270Bi, Chunjia; Wang, Cheng; Lin, Yanping 7 2018 Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents. Zbl 1406.76054Zhang, Huili; Lin, Tao; Lin, Yanping 6 2018 Numerical analysis of a leapfrog ADI-FDTD method for Maxwell’s equations in lossy media. Zbl 1428.65008Huang, Yunqing; Chen, Meng; Li, Jichun; Lin, Yanping 5 2018 Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrödinger equations under the Lorentz gauge. Zbl 1462.65151Ma, Chupeng; Cao, Liqun; Lin, Yanping 3 2018 Two-grid finite element method and its a posteriori error estimates for a nonmonotone quasilinear elliptic problem under minimal regularity of data. Zbl 1419.65104Bi, Chunjia; Wang, Cheng; Lin, Yanping 2 2018 A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli 11 2017 Global energy-tracking identities and global energy-tracking splitting FDTD schemes for the Drude models of Maxwell’s equations in three-dimensional metamaterials. Zbl 1381.78013Li, Wanshan; Liang, Dong; Lin, Yanping 2 2017 Pointwise error estimates and two-grid algorithms of discontinuous Galerkin method for strongly nonlinear elliptic problems. Zbl 1341.65043Bi, Chunjia; Wang, Cheng; Lin, Yanping 4 2016 Partially penalized immersed finite element methods for elliptic interface problems. Zbl 1316.65104Lin, Tao; Lin, Yanping; Zhang, Xu 98 2015 A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1325.76119He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju 42 2015 \(L^2\) error estimates for a class of any order finite volume schemes over quadrilateral meshes. Zbl 1327.65208Lin, Yanping; Yang, Min; Zou, Qingsong 21 2015 Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem. Zbl 1320.76077Yang, Min; Liu, Jiangguo; Lin, Yanping 4 2015 Sampled-data control of networked nonlinear systems with variable delays and drops. Zbl 1305.93137Liu, Xi; Marquez, Horacio J.; Kumar, K. D.; Lin, Y. 3 2015 A priori and posteriori error analysis for time-dependent Maxwell’s equations. Zbl 1423.78020Li, Jichun; Lin, Yanping 1 2015 A posteriori error estimates of \(h p\)-discontinuous Galerkin method for strongly nonlinear elliptic problems. Zbl 1425.65147Bi, Chunjia; Wang, Cheng; Lin, Yanping 1 2015 Exponential stability of nonmonotone traveling waves for Nicholson’s blowflies equation. Zbl 1295.35171Lin, Chi-Kun; Lin, Chi-Tien; Lin, Yanping; Mei, Ming 49 2014 A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126He, Xiaoming; Lin, Tao; Lin, Yanping 16 2014 Immersed finite element method for interface problems with algebraic multigrid solver. Zbl 1388.65177Feng, Wenqiang; He, Xiaoming; Lin, Yanping; Zhang, Xu 16 2014 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 41 2013 A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033Li, Wanshan; Liang, Dong; Lin, Yanping 18 2013 Finite volume element methods: an overview on recent developments. Zbl 1463.65349Lin, Yanping; Liu, Jiangguo; Yang, Min 16 2013 Multiscale asymptotic method for Steklov eigenvalue equations in composite media. Zbl 1267.65172Cao, Liqun; Zhang, Lei; Allegretto, Walter; Lin, Yanping 15 2013 Immersed finite element method of lines for moving interface problems with nonhomogeneous flux jump. Zbl 1280.65100Lin, Tao; Lin, Yanping; Zhang, Xu 10 2013 Finite volume element method for monotone nonlinear elliptic problems. Zbl 1276.65064Bi, Chunjia; Lin, Yanping; Yang, Min 7 2013 Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points. Zbl 1281.65140Yang, Min; Liu, Jiangguo; Lin, Yanping 5 2013 Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017Huang, Yunqing; Li, Jichun; Lin, Yanping 5 2013 Multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. Zbl 1290.65106Cao, Li-Qun; Zhang, Lei; Allegretto, Walter; Lin, Yanping 4 2013 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090He, Xiaoming; Lin, Tao; Lin, Yanping 34 2012 Discontinuous Galerkin method for monotone nonlinear elliptic problems. Zbl 1268.65149Bi, Chunjia; Lin, Yanping 10 2012 Asymptotic analysis of the equations of motion for viscoelastic Oldroyd fluid. Zbl 1235.35229Wang, Kun; Lin, Yangping; He, Yinnian 8 2012 Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows. Zbl 1248.35164Wang, Kun; He, Yinnian; Lin, Yanping 7 2012 A multiscale approach for optimal control problems of linear parabolic equations. Zbl 1264.65093Cao, Liqun; Liu, Jianjun; Allegretto, Walter; Lin, Yanping 3 2012 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155He, Xiaoming; Lin, Tao; Lin, Yanping 85 2011 Developing finite element methods for Maxwell’s equations in a Cole-Cole dispersive medium. Zbl 1238.65097Li, Jichun; Huang, Yunqing; Lin, Yanping 36 2011 Immersed finite element methods for 4th order differential equations. Zbl 1219.65135Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z. 12 2011 Codimension-two bifurcations analysis and tracking control on a discrete epidemic model. Zbl 1338.93223Yi, Na; Zhang, Qingling; Liu, Peng; Lin, Yanping 8 2011 Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010He, Xiaoming; Lin, Tao; Lin, Yanping 27 2010 Multiscale asymptotic method for Maxwell’s equations in composite materials. Zbl 1218.65126Cao, Liqun; Zhang, Ya; Allegretto, Walter; Lin, Yanping 26 2010 Multiscale numerical algorithm for 3-D Maxwell’s equations with memory effects in composite materials. Zbl 1250.78045Zhang, Ya; Cao, Liqun; Allegretto, Walter; Lin, Yanping 5 2010 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225He, X.-M.; Lin, T.; Lin, Y. 29 2009 Studies on some perfectly matched layers for one-dimensional time-dependent systems. Zbl 1166.65042Lin, Yanping; Zhang, Kai; Zou, Jun 9 2009 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090He, Xiaoming; Lin, Tao; Lin, Yanping 68 2008 Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model. Zbl 1153.93505Liu, Xi; Marquez, Horacio J.; Lin, Yanping 11 2008 Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients. Zbl 1145.65067Allegretto, Walter; Cao, Liqun; Lin, Yanping 7 2008 Asymptotic behavior of solution to nonlinear evolution equations with damping. Zbl 1149.35359Allegretto, Walter; Lin, Yanping; Zhang, Zhiyong 3 2008 Superconvergent techniques in multi-scale methods. Zbl 1242.35029Chen, Peimin; Allegretto, Walter; Lin, Yanping 2 2008 Properties of global decaying solution to the Cauchy problem of nonlinear evolution equations. Zbl 1168.35004Allegretto, Walter; Lin, Yanping; Zhang, Zhiyong 2 2008 Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. Zbl 1136.65102Lin, Tao; Lin, Yanping; Sun, Weiwei 21 2007 Positive realness and absolute stability problem of descriptor systems. Zbl 1374.93292Yang, Chunyu; Zhang, Qingling; Lin, Yanping; Zhou, Linna 18 2007 Quadratic immersed finite element spaces and their approximation capabilities. Zbl 1095.65102Camp, Brian; Lin, Tao; Lin, Yanping; Sun, Weiwei 27 2006 Stabilized finite element method for the non-stationary Navier-Stokes problem. Zbl 1089.76033He, Yinnian; Lin, Yanping; Sun, Weiwei 20 2006 Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua 14 2006 Practical stability of closed-loop descriptor systems. Zbl 1111.93074Yang, C.; Zhang, Q.; Lin, Y.; Zhou, L. 5 2006 Analysis of a type of nonsmooth dynamical systems. Zbl 1142.37334Zhang, Guofeng; Chen, Guanrong; Chen, Tongwen; Lin, Yanping 2 2006 Backward Euler mixed FEM and regularity of parabolic integro-differential equations with non-smooth data. Zbl 1115.76048Ewing, Richard E.; Lin, Yanping; Wang, Junping; Yang, Xiaozhong 2 2006 Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018Kafafy, R.; Lin, T.; Lin, Y.; Wang, J. 45 2005 \(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua 15 2005 An immersed finite element space and its approximation capability. Zbl 1057.65085Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 98 2004 Numerical procedures for recovering a time dependent coefficient in a parabolic differential equation. Zbl 1055.35132Azari, Hossein; Allegretto, Walter; Lin, Yanping; Zhang, Shuhua 11 2004 The derivative patch interpolating recovery technique for finite element approximations. Zbl 1055.65132Zhang, Tie; Lin, Yanping; Tait, R. J. 6 2004 On the time periodic thermistor problem. Zbl 1078.35119Allegretto, Walter; Lin, Yanping; Ma, Shuqing 2 2004 Hölder continuous solutions of an obstacle thermistor problem. Zbl 1099.35183Allegretto, Walter; Lin, Yanping; Ma, Shuqing 1 2004 Finite element approximation for the viscoelastic fluid motion problem. Zbl 1014.76041He, Yinnian; Lin, Yanping; Shen, Samuel S. P.; Sun, Weiwei; Tait, Robert 16 2003 Numerical pricing of American put options on zero-coupon bonds. Zbl 1057.91039Allegretto, Walter; Lin, Yanping; Yang, Hongtao 10 2003 On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084Ewing, Richard E.; Lin, Tao; Lin, Yanping 167 2002 Sharp L\(^{2}\)-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. Zbl 1044.76032Ewing, Richard E.; Lin, Yanping; Sun, Tong; Wang, Junping; Zhang, Shuhua 26 2002 On the convergence of viscoelastic fluid flows to a steady state. Zbl 1049.76014He, Yinnian; Lin, Yanping; Shen, Semuel S. P.; Tait, Robert 14 2002 Existence and long time behaviour of solutions to obstacle thermistor equations. Zbl 1062.35187Allegretto, Walter; Lin, Yanping; Ma, Shuqing 13 2002 Finite element methods for Sobolev equations. Zbl 1064.65112Liu, Tang; Lin, Yan-ping; Rao, Ming; Cannon, J. R. 9 2002 On the finite volume element version of Ritz-Volterra projection and applications to related equations. Zbl 1013.65143Zhang, Tie; Lin, Yanping; Tait, Robert J. 8 2002 A rectangular immersed finite element space for interface problems. Zbl 1019.65092Lin, Tao; Lin, Yanping; Rogers, Robert; Ryan, M. Lynne 33 2001 Finite element error estimates for a nonlocal problem in American option valuation. Zbl 0996.91064Allegretto, Walter; Lin, Yanping; Yang, Hongtao 28 2001 A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036Ewing, R. E.; Lin, Y.; Wang, J. 9 2001 Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0998.65135Lin, Tao; Lin, Yanping; Luo, Ping; Rao, Ming; Zhang, Shuhua 6 2001 Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Zbl 0989.65151Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming 4 2001 A fast and highly accurate numerical method for the evaluation of American options. Zbl 1108.91034Allegretto, Walter; Lin, Yanping; Yang, Hongtao 2 2001 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 69 2000 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052Ewing, R. E.; Lazarov, R. D.; Lin, Y. 26 2000 Petrov-Galerkin methods for linear Volterra integro-differential equations. Zbl 0983.65138Lin, Tao; Lin, Yanping; Rao, Ming; Zhang, Shuhua 25 2000 Numerical solutions for second-kind Volterra integral equations by Galerkin methods. Zbl 1058.65148Zhang, Shuhua; Lin, Yanping; Rao, Ming 24 2000 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112Ewing, 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 1058.65147Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming 1 2000 The immersed finite volume element methods for the elliptic interface problems. Zbl 1027.65155Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping 52 1999 A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping 17 1999 A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023Allegretto, Walter; Lin, Yanping; Zhou, Aihui 16 1999 A mixed least-squares method for an inverse problem of a nonlinear beam equation. Zbl 0928.74101Ewing, Richard E.; Lin, Tao; Lin, Yanping 5 1999 Long-time stability of finite element approximations for parabolic equations with memory. Zbl 0931.65136Allegretto, Walter; Lin, Yanping; Zhou, Aihui 5 1999 Finite volume element approximations of integro-differential parabolic problems. Zbl 0980.65150Ewing, Richard E.; Lazarov, Raytcho D.; Lin, Yanping 1 1999 Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods. Zbl 0944.65140Brunner, Hermann; Lin, Yanping; Zhang, Shuhua 11 1998 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,658 Authors 76 Dehghan Takht Fooladi, Mehdi 50 Lin, Yanping 37 Lin, Tao 32 Huang, Yunqing 28 He, Xiaoming 26 Li, Hong 24 He, Yinnian 24 Liu, Yang 22 Bi, Chunjia 21 Chen, Yanping 21 Pani, Amiya Kumar 21 Shi, Dongyang 21 Zou, Qingsong 20 Li, Jichun 19 Li, Jian 18 Chen, Chuanjun 17 Sun, Weiwei 16 Yang, Liu 15 Deng, Zuicha 15 Yang, Min 15 Zhang, Shuhua 15 Zhang, Zhimin 14 Cao, Liqun 14 Kanca, Fatma 14 Li, Yonghai 14 Li, Zhilin 14 Zhang, Zhiyue 13 Kwak, Do Young 13 Xu, Da 13 Zhang, Tie 13 Zhang, Xu 12 Chen, Zhangxin 12 Rui, Hongxing 11 Guo, Ruchi 10 Chen, Jinru 10 Hou, Songming 10 Ismailov, Mansur I. 10 Ji, Haifeng 10 Luo, Zhendong 10 Mei, Ming 10 Zhang, Qingling 10 Zhao, Xin 10 Zheng, Haibiao 9 Bi, Hai 9 Cannon, John Rozier 9 Cao, Yong 9 Cui, Junzhi 9 Wang, Kun 9 Wang, Liqun 9 Ye, Xiu 9 Yu, Jianning 9 Zhang, Guobao 8 Ferreira, José Augusto 8 He, Siriguleng 8 Kamynin, Vitaly Leonidovich 8 Shi, Liwei 8 Zhang, Qian 8 Zhang, Yuanyuan 7 Adjerid, Slimane 7 Baglan, Irem Sakinc 7 Ezzinbi, Khalil 7 Fu, Xianlong 7 Guo, Hui 7 He, Wenming 7 Jangveladze, Temur A. 7 Jo, Gwanghyun 7 Lesnic, Daniel 7 Liang, Jin 7 Lin, Qun 7 Martín-Vaquero, Jesús 7 Pany, Ambit Kumar 7 Wang, Jinfeng 7 Wei, Guowei 7 Xiao, Ti-Jun 7 Yang, Huaijun 7 Yang, Wei 7 Yang, Yidu 7 Yi, Lijun 7 Zhao, Shan 6 Cao, Waixiang 6 Du, Yanwei 6 Fang, Zhichao 6 Fatullayev, Afet Golayoglu 6 Feng, Xinlong 6 Hou, Tianliang 6 Huang, Qiumei 6 Jia, Hongen 6 Kiguradze, Zurab V. 6 Kumar, Sarvesh 6 Li, Buyang 6 Luo, Guanwei 6 Nelakanti, Gnaneshwar 6 Ohm, Mi-Ray 6 Sapagovas, Mifodijus 6 Shi, Feng 6 Shidfar, Abdollah 6 Shin, Jun Yong 6 Shu, Shi 6 Sinha, Rajen Kumar 6 Tatari, Mehdi ...and 1,558 more Authors all top 5 Cited in 231 Serials 125 Journal of Computational and Applied Mathematics 101 Applied Mathematics and Computation 77 Applied Numerical Mathematics 73 Computers & Mathematics with Applications 61 Journal of Scientific Computing 57 Numerical Methods for Partial Differential Equations 37 Advances in Computational Mathematics 36 Journal of Computational Physics 36 Journal of Mathematical Analysis and Applications 32 Computer Methods in Applied Mechanics and Engineering 29 International Journal of Computer Mathematics 26 Nonlinear Analysis. 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