# zbMATH — the first resource for mathematics

## International Journal of Numerical Analysis and Modeling

 Short Title: Int. J. Numer. Anal. Model. Publisher: Institute for Scientific Computing and Information (ISCI), Edmonton, Alberta; Wuhan University, Wuhan ISSN: 1705-5105 Online: http://www.math.ualberta.ca/ijnam/contents.htm Comments: Indexed cover-to-cover; This journal is available open access.
 Documents Indexed: 639 Publications (since 2004) References Indexed: 53 Publications with 831 References.
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#### Latest Issues

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#### Authors

 11 Chen, Zhangxin 11 Zhang, Zhimin 10 Pani, Amiya Kumar 9 Lin, Yanping 8 He, Yinnian 8 Tai, Xuecheng 8 Ye, Xiu 7 Liu, Steve Wenbin 7 Schurz, Henri 7 Wang, Hong 6 Gracia, José Luis 6 Houston, Paul 6 Li, Zhilin 6 Lin, Tao 6 Wang, Junping 6 Xu, Yuesheng 6 Yan, Ningning 6 Zou, Qingsong 5 Baccouch, Mahboub 5 Cao, Liqun 5 Cao, Yanzhao 5 Gunzburger, Max D. 5 Jung, Changyeol 5 Liang, Dong 5 Shi, Dongyang 5 Temam, Roger Meyer 5 Wang, Cheng 5 Xie, Hehu 5 Zhang, Shangyou 4 Chen, Chuanmiao 4 Chen, Ke 4 Chen, Yanping 4 Clavero, Carmelo 4 Gaspar, Francisco José 4 Ge, Liang 4 Hu, Qiya 4 Huang, Yunqing 4 Ju, Lili 4 Layton, William J. 4 Li, Jian 4 Neda, Monika 4 O’Riordan, Eugene 4 Peszyńska, Małgorzata 4 Qiao, Zhonghua 4 Rebholz, Leo G. 4 Shi, Zhongci 4 Shu, Chi-Wang 4 Wang, Kaixin 4 Yang, Hongtao 3 Allegretto, Walter 3 Boglaev, Igor P. 3 Chen, Hongsen 3 Cui, Ming 3 Deng, Xiaomao 3 Du, Qiang 3 Feng, Xinlong 3 Fernández, Jose Ramon 3 Glowinski, Roland 3 Gong, Wei 3 Iliescu, Traian 3 Kaya, Songul 3 Kumar, Sarvesh 3 Lee, Hyesuk Kwon 3 Li, Jichun 3 Li, Kaitai 3 Linß, Torsten 3 Mei, Ming 3 Miller, John James Henry 3 Mu, Lin 3 Nicaise, Serge 3 Qin, Guan 3 Risebro, Nils Henrik 3 Rodrigo, Carmen 3 Sheen, Dongwoo 3 Shen, Wanfang 3 Shu, Shi 3 Sun, Weiwei 3 Tone, Florentina 3 Tong, Weiqin 3 Tveito, Aslak 3 Valarmathi, Sigamani 3 Wise, Steven M. 3 Xie, Ziqing 3 Yang, Xiaozhong 3 Zadorin, Aleksandr Ivanovich 3 Zhang, Wu 2 Abdelhamid, Talaat 2 Agouzal, Abdellatif 2 Antonietti, Paola Francesca 2 Apte, Sourabh V. 2 Babuška, Ivo 2 Belhachmi, Zakaria 2 Bermúdez, Alfredo 2 Bi, Chunjia 2 Bochev, Pavel B. 2 Burkhardt, John 2 Caboussat, Alexandre 2 Chen, Long 2 Chen, Menghuo 2 Chen, Rongliang ...and 1,002 more Authors
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#### Fields

 526 Numerical analysis (65-XX) 293 Partial differential equations (35-XX) 151 Fluid mechanics (76-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 45 Mechanics of deformable solids (74-XX) 43 Probability theory and stochastic processes (60-XX) 41 Ordinary differential equations (34-XX) 32 Biology and other natural sciences (92-XX) 26 Optics, electromagnetic theory (78-XX) 17 Computer science (68-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Geophysics (86-XX) 16 Information and communication theory, circuits (94-XX) 15 Operations research, mathematical programming (90-XX) 15 Systems theory; control (93-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Approximations and expansions (41-XX) 7 Statistics (62-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

460 Publications have been cited 2,520 times in 2,160 Documents Cited by Year
Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155
He, Xiaoming; Lin, Tao; Lin, Yanping
2011
Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172
Mu, Lin; Wang, Junping; Ye, Xiu
2015
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122
2013
Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007
Higham, Desmond J.; Kloeden, Peter E.
2006
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
2006
Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026
Chen, Yanping; Liu, Wenbin
2006
Numerical analysis for a nonlocal Allen-Cahn equation. Zbl 1165.65051
Bates, Peter W.; Brown, Sarah; Han, Jianlong
2009
Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094
Kopteva, Natalia; O’Riordan, Eugene
2010
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315
Shi, Dongyang; Pei, Lifang
2008
Convergence of Rothe scheme for hemivariational inequalities of parabolic type. Zbl 1269.65066
Kalita, Piotr
2013
Superconvergence of tetrahedral linear finite element. Zbl 1100.65084
Chen, Long
2006
An optimal 9-point finite difference scheme for the Helmholtz equation with PML. Zbl 1272.65081
Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting
2013
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429
Hartmann, Ralf; Houston, Paul
2006
Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085
Danumjaya, Palla; Pani, Amiya Kumar
2006
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
2004
Numerical analysis of a finite element Crank-Nicolson discretization for MHD flows at small magnetic Reynolds numbers. Zbl 1266.76066
Yuksel, Gamze; Ingram, Ross
2013
Finite volume element method for second order hyperbolic equations. Zbl 1134.65069
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
2008
The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. Zbl 1195.65086
Zhou, Zhaojie; Yan, Ningning
2010
An $$H^1$$-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
2004
A fast second-order finite difference method for space-fractional diffusion equations. Zbl 1279.65095
Basu, Treena S.; Wang, Hong
2012
A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099
Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi
2018
Optimal design of the support of the control for the 2-D wave equation: a numerical method. Zbl 1242.49091
Münch, Arnaud
2008
$$L^\infty$$-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2005
A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications. Zbl 1151.76530
2005
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
2013
Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061
Ervin, Vincent J.; Layton, William J.; Neda, Monika
2007
High degree immersed finite element spaces by a least squares method. Zbl 1429.65291
Adjerid, Slimane; Guo, Ruchi; Lin, Tao
2017
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361
Guo, Ruchi; Lin, Tao; Zhuang, Qiao
2019
Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers. Zbl 1103.65115
Jung, Changyeol; Temam, Roger
2005
Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145
Zhang, Zhimin
2004
ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336
Cao, Yanzhao; Chen, Zheng; Gunzburger, Max
2009
Well flow models for various numerical methods. Zbl 1158.76393
Chen, Zhangxin; Zhang, Youqian
2009
Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient. Zbl 1202.65096
de Falco, Carlo; O’Riordan, Eugene
2010
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Quintic spline solutions of fourth order boundary-value problems. Zbl 1132.65069
Siddiqi, Shahid S.; Akram, Ghazala
2008
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
2007
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
2011
Mean square convergence of stochastic $$\theta$$-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014
Gan, Siqing; Schurz, Henri; Zhang, Haomin
2011
A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070
Goswami, Deepjyoti; Pani, Amiya K.
2011
Stability of the kinematically coupled $$\beta$$-scheme for fluid-structure interaction problems in hemodynamics. Zbl 1332.35281
Čanič, Sunčica.; Muha, Boris; Bukac, Martina
2015
Control of geometry induced error in $$hp$$ finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122
Xue, Dong; Demkowicz, Leszek
2005
Unconditional convergence of high-order extrapolations of the Crank-Nicolson, finite element method for the Navier-Stokes equations. Zbl 1264.76060
Ingram, Ross
2013
Global superconvergence for optimal control problems governed by Stokes equations. Zbl 1126.49028
Liu, Huipo; Yan, Ningning
2006
An efficient collocation method for a non-local diffusion model. Zbl 1280.65134
Tian, Hao; Wang, Hong; Wang, Wenqia
2013
Stability-preserving finite difference methods for general multi-dimensional autonomous dynamical systems. Zbl 1113.37065
Dimitrov, Dobromir T.; Kojouharov, Hristo V.
2007
The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients. Zbl 1239.65073
Wang, Wei; Guzman, Johnny; Shu, Chi-Wang
2011
A numerical approach for solving a class of a singular boundary value problems arising in physiology. Zbl 1211.65097
Abukhaled, M.; Khuri, S. A.; Sayfy, A.
2011
A computational scheme for option under jump diffusion processes. Zbl 1159.91402
Zhang, Kai; Wang, Song
2009
Convergence of the time-domain perfectly matched layer method for acoustic scattering problems. Zbl 1158.76394
Chen, Zhiming
2009
A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160
Wang, Chunmei; Wang, Junping
2015
Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104
Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
2013
Sstability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. Zbl 1268.65133
Chan, Hiu Ning; Chung, Eric T.; Cohen, Gary
2013
Global convergence of a posteriori error estimates for the discontinuous Galerkin method for one-dimensional linear hyperbolic problems. Zbl 1310.65118
Baccouch, M.
2014
Interval-based reduced order models for unsteady fluid flow. Zbl 1133.37342
Borggaard, Jeff; Hay, Alexander; Pelletier, Dominique
2007
Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Zbl 1130.74046
Du, Qiang; Wang, Xiaoqiang
2007
Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008
Schurz, Henri
2007
Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080
Shi, Dongyang; Ren, Jincheng
2009
Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140
Zhang, Zhimin; Lin, Runchang
2005
A priori and a posteriori error estimates for Boussinesq equations. Zbl 1143.76419
Allali, Karam
2005
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2012
Superconvergence studies of quadrilateral nonconforming rotated $$Q_1$$ elements. Zbl 1096.65109
Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun
2006
A piecewise constant level set framework. Zbl 1125.49031
Lie, Johan; Lysaker, Marius; Tai, Xuecheng
2005
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
2012
Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114
Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G.
2016
A uniformly optimal-order error estimate of an ELLAM scheme for unsteady-state advection-diffusion equations. Zbl 1180.35585
Wang, Kaixin
2008
Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method. Zbl 1263.65125
Wu, Chin-Tien; Li, Zhilin; Lai, Ming-Chih
2011
Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099
Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min
2011
Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153
Ji, Liangyue; Xu, Yan
2011
Mixed FEM of higher order for contact problems with fiction. Zbl 1330.74180
Schroder, Andreas; Blum, Heribert; Rademacher, Andreas; Kleemann, Heiko
2011
A note on the construction of function spaces for distributed miscrostructure models with spatially varying cell geometry. Zbl 1172.46016
Meier, Sebastian; Böhm, Michael
2008
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
2004
Convergence and stability of balanced implicit methods for systems of SDEs. Zbl 1078.65007
Schurz, Henri
2005
Anisotropic $$hp$$-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
2012
On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids. Zbl 1264.76056
Bajpai, S.; Nataraj, N.; Pani, A.
2013
The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. Zbl 1267.65135
Lin, Tao; Sheen, Dongwoo
2013
Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074
Chen, Hongsen
2006
$$hp$$-version interior penalty discontinuous Galerkin finite element methods on anisotropic meshes. Zbl 1102.65112
Georgoulis, Emmanuil H.
2006
A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for $$hp$$-version discontinuous Galerkin methods. Zbl 1350.65134
Antonietti, Paola F.; Houston, Paul; Smears, Iain
2016
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui
2011
$$L^{\infty}$$-error estimates for general optimal control problem by mixed finite element methods. Zbl 1160.35551
Xing, Xiaoqing; Chen, Yanping
2008
Finite volume approximation of two-dimensional stiff problems. Zbl 1194.65127
Jung, Chang-Yeol; Temam, Roger
2010
The two-level local projection stablization as an enriched one-level approach, a one-dimensional study. Zbl 1198.65128
Tobiska, Lutz; Winkel, Christian
2010
An anisotropic nonconforming element for fourth order elliptic singularly perturbed problem. Zbl 1202.65153
Chen, Shaochun; Liu, Mingfang; Qiao, Zhonghua
2010
A level set method for solving free boundary problems associated with obstacles. Zbl 1082.65067
Majava, Kirsi; Tai, Xue-Cheng
2004
A high order parallel method for time discretization of parabolic type equations based on Laplace transformation and quadrature. Zbl 1070.65108
Thomée, Vidar
2005
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2018
Error analysis of a finite difference scheme for the epitaxial thin film model with slope selection with an improved convergence constant. Zbl 1371.35143
Qiao, Zhonghua; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
2017
A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044
Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli
2017
Superconvergence of least-squares mixed finite elements. Zbl 1096.65108
Brandts, Jan; Chen, Yanping
2006
An axiomatic approach to numerical approximations of stochastic processes. Zbl 1109.65010
Schurz, Henri
2006
Uniform $$L^p$$-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
2018
Finite element approximation of the non-isothermal Stokes-Oldroyd equations. Zbl 1242.76013
Cox, Christopher; Lee, Hyesuk; Szurley, David
2007
Discontinuous Galerkin approximations for distributed optimal control problems constrained by parabolic PDE’s. Zbl 1149.65046
Chrysafinos, Konstantinos
2007
On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. Zbl 1432.35168
Sun, Haiyan; He, Yinnian; Feng, Xinlong
2011
Convergence and stability of the semi-implicit Euler method with variable stepsize for a linear stochastic pantograph differential equation. Zbl 1214.65003
Xiao, Yu; Song, Minghui; Liu, Mingzhu
2011
A robust affine image registration method. Zbl 1158.94302
2009
Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052
Shen, Lihua; Li, Jian; Chen, Zhangxin
2009
Second order uniform approximations for the solution of time dependent singularly perturbed reaction-diffusion systems. Zbl 1214.65044
Clavero, Carmelo; Gracia, José Luis; Lisbona, Fransisco
2010
A posteriori error estimation for a singularly perturbed problem with two small parameters. Zbl 1197.65099
Linss, Torsten
2010
Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119
2010
Theoretical and numerical studies on global stability of traveling waves with oscillations for time-delayed nonlocal dispersion equations. Zbl 1462.35129
Xu, Tianyuan; Ji, Shanming; Rui, Huang; Mei, Ming; Yin, Jingxue
2020
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
2020
Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676
Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul
2020
3D $$B_2$$ model for radiative transfer equation. Zbl 07244680
Li, Ruo; Li, Weiming
2020
Provably size-guaranteed mesh generation with superconvergence. Zbl 07244843
Li, Xiangrong; Qi, Nan; Zhang, Weiwei; Nie, Yufeng
2020
A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844
DeCaria, Victor; Layton, William; Zhao, Haiyun
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
2019
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
2019
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
2019
Convexity splitting in a phase field model for surface diffusion. Zbl 07017833
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
2019
Wong-Zakai approximations of stochastic Allen-Cahn equation. Zbl 1431.60067
Liu, Zhihui; Qiao, Zhonghua
2019
A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060
Gunzburger, Max; Wang, Jilu
2019
Analysis of pollution-free approaches for multi-dimensional Helmholtz equations. Zbl 1427.65332
Wang, Kun; Wong, Yau Shu; Huang, Jizu
2019
An optimal EDG method for distributed control of convection diffusion PDEs. Zbl 1427.65387
Zhang, Xiao; Zhang, Yangwen; Singler, John R.
2019
Distributed Lagrange multiplier-fictitious domain finite element method for Stokes interface problems. Zbl 1434.65269
Lundberg, Andrew; Sun, Pengtao; Wang, Cheng
2019
Analysis of a special immersed finite volume method for elliptic interface problems. Zbl 1431.65200
Liu, Kai; Zou, Qingsong
2019
Dynamic load balancing for the parallel, adaptive, multigrid solution of implicit phase-field simulations. Zbl 1408.65052
Chen, Meng-Huo; Bollada, Peter C.; Jimack, Peter K.
2019
A numerical method for solving the variable coefficient wave equation with interface jump conditions. Zbl 1412.65226
Wang, Liqun; Hou, Songming; Shi, Liwei; Zhang, Ping
2019
Optimal error estimates of the local discontinuous Galerkin method for the two-dimensional sine-Gordon equation on Cartesian grids. Zbl 1427.65214
Baccouch, Mahboub
2019
A partitioned method with different time steps for coupled Stokes and Darcy flows with transport. Zbl 1427.65215
Zhang, Jingyuan; Rui, Hongxing; Cao, Yanzhao
2019
Numerical solution of a transient three-dimensional eddy current model with moving conductors. Zbl 1434.65174
Bermudez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar
2019
An efficient multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1434.65287
Zhang, Ning; Xu, Fei; Xie, Hehu
2019
Discontinuous Galerkin methods for the biharmonic problem on polygonal and polyhedral meshes. Zbl 1434.65249
Dong, Zhaonan
2019
Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem. Zbl 1412.65193
Wang, Fei; Han, Weimin
2019
Convergence to equilibrium of a DC algorithm for an epitaxial growth model. Zbl 1427.65289
Khalfi, Hamza; Pierre, Morgan; Alaa, Nour Eddine; Guedda, Mohammed
2019
Formulas of numerical differentiation on a uniform mesh for functions with the exponential boundary layer. Zbl 1452.65043
2019
Error analysis of an immersed finite element method for time-dependent beam interface problems. Zbl 1427.65341
Lin, Min
2019
Orthogonal spline collocation for singularly perturbed reaction diffusion problems in one dimension. Zbl 1427.65126
Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Faiweather, Graeme
2019
A new a posteriori error estimate for the interior penalty discontinuous Galerkin method. Zbl 1408.65081
Yang, Wei; Cao, Luling; Huang, Yunqing; Cui, Jintao
2019
An embedded SDG method for the convection-diffusion equation. Zbl 1408.65087
Cheung, Siu; Chung, Eric T.
2019
Numerical analysis of an energy-conservation scheme for two-dimensional Hamiltonian wave equations with Neumann boundary conditions. Zbl 1407.35008
Liu, Changying; Shi, Wei; Wu, Xinyuan
2019
A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089
Feng, Xiaobing; Schnake, Stefan
2019
A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099
Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi
2018
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2018
Uniform $$L^p$$-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
2018
Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1397.65165
Wang, Yan; Zhao, Xiaofei
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
2018
Ensemble timestepping algorithms for natural convection. Zbl 1397.65157
Fiordilino, Joseph Anthony; Khankan, Sarah
2018
An ensemble-based conventional turbulence model for fluid-fluid interaction. Zbl 1395.76039
Connors, Jeffrey M.
2018
A fractional Stokes equation and its spectral approximation. Zbl 1410.35097
Lin, Shimin; Azaïez, Mejdi; Xu, Chuanju
2018
Penalty projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to divergence-free coupled schemes. Zbl 1395.35109
Rebholz, Leo G.; Wise, Steven M.; Xiao, Mengying
2018
Regularization and Rothe discretization of semi-explicit operator DAEs. Zbl 1398.65109
Altmann, Robert; Heiland, Jan
2018
Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter. Zbl 1414.65012
Du, Jie; Shu, Chi-Wang
2018
An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022
Sun, Wenjun; Jiang, Song; Xu, Kun
2018
Fully computable error bounds for eigenvalue problem. Zbl 1412.65200
Hong, Qichen; Xie, Hehu; Yue, Meiling; Zhang, Ning
2018
Asymptotics of orthogonal polynomials. Zbl 1406.33008
Wong, R.
2018
Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227
Olson, Eric
2018
Regularized reduced order models for a stochastic Burgers equation. Zbl 1397.35349
Iliescu, Traian; Liu, Honghu; Xie, Xuping
2018
Macro Stokes elements on quadrilaterals. Zbl 1397.65285
Neilan, Michael; Sap, Duygu
2018
Second-order two-scale analysis method for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. Zbl 1409.74003
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Yang, Zihao; Wang, Ziqiang
2018
Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144
Berselli, Luigi C.
2018
Heidarpour-Dehkordi, Vida; Christara, Christina C.
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
The $$h$$-$$p$$ version of the continuous Petrov-Galerkin method for nonlinear Volterra functional integro-differential equations with vanishing delays. Zbl 1408.65040
Yi, Lijun; Guo, Benqi
2018
Conforming mixed triangular prism elements for the linear elasticity problem. Zbl 1435.74092
Hu, Jun; Ma, Rui
2018
Fully diagonalized Chebyshev spectral methods for second and fourth order elliptic boundary value problems. Zbl 1442.65143
Li, Jing-Min; Wang, Zhong-Qing; Li, Hui-Yuan
2018
Superconvergence of a quadratic finite element method on adaptively refined anisotropic meshes. Zbl 1408.65086
Cao, Weiming
2018
Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220
Vázquez, Luis; Pilar Velasco, M.; Vázquez-Poletti, José Luis; Llorente, Ignacio M.; Usero, David; Jiménez, Salvador
2018
The singularity-separated method for the singular perturbation problems in 1-D. Zbl 1443.65102
Chen, Chuanmiao; Yang, Jing
2018
A fixed-point proximity approach to solving the support vector regression with the group Lasso regularization. Zbl 1407.65066
Li, Zheng; Song, Guohui; Xu, Yuesheng
2018
Local analysis of the local discontinuous Galerkin method with the generalized alternating numerical flux for two-dimensional singularly perturbed problem. Zbl 1412.65113
Cheng, Yao; Zhang, Qiang; Wang, Haijin
2018
Output feedback control of flow separation over an aerofoil using plasma actuators. Zbl 1409.93027
Broglia, R.; Choi, K.-S.; Houston, P.; Pasquale, L.; Zanchetta, P.
2018
High degree immersed finite element spaces by a least squares method. Zbl 1429.65291
Adjerid, Slimane; Guo, Ruchi; Lin, Tao
2017
Error analysis of a finite difference scheme for the epitaxial thin film model with slope selection with an improved convergence constant. Zbl 1371.35143
Qiao, Zhonghua; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
2017
A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044
Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli
2017
A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: $$hp$$ analysis. Zbl 1429.65278
Wang, Jiangxing; Zhang, Zhimin
2017
Efficient energy-stable dynamic modeling of compositional grading. Zbl 1365.76228
Kou, Jisheng; Sun, Shuyu
2017
An $$L^\infty$$ bound for the Cahn-Hilliard equation with relaxed non-smooth free energy. Zbl 1368.35220
Kahle, Christian
2017
Error analysis of an immersed finite element method for Euler-Bernoulli beam interface problems. Zbl 1375.74088
Lin, Min; Lin, Tao; Zhang, Huili
2017
A new finite element for interface problems having Robin type jump. Zbl 1429.65277
Kwak, Do Y.; Lee, Seungwoo; Hyon, Yunkyong
2017
Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations with singular initial data. Zbl 1422.65227
Guo, Li; Yang, Yang
2017
An Immersed-Finite-Element Particle-in-Cell simulation tool for plasma surface interaction. Zbl 1365.76112
Chu, Yuchuan; Han, Daoru; Cao, Yong; He, Xiaoming; Wang, Joseph
2017
A novel adaptive finite volume method for elliptic equations. Zbl 1380.65338
Zhou, Yanhui; Zou, Qingsong
2017
Backward Euler schemes for the Kelvin-Voigt viscoelastic fluid flow model. Zbl 1365.76126
Pany, Ambit K.; Paikray, Susanta K.; Padhy, Sudarsan; Pani, Amiya K.
2017
Numerical analysis of a thermoelastic diffusion problem with voids. Zbl 1365.74051
Fernández, José R.; Masid, Maria
2017
A simple fast algorithm for minimization of the elastica energy combining binary and level set representations. Zbl 1378.65133
Tai, Xue-Cheng; Duan, Jinming
2017
Variable time-step $$\theta$$-scheme for nonlinear second order evolution inclusion. Zbl 1382.65187
Bartosz, Krzysztof
2017
Flux recovery and superconvergence of quadratic immersed interface finite elements. Zbl 1365.65238
Chou, So-Hsiang; Attanayake, Champike
2017
An efficient approximation for optimal damping in mechanical systems. Zbl 1391.70057
Truhar, Ninoslav; Tomljanović, Zoran; Puvača, Matea
2017
A simple finite element method for non-divergence form elliptic equations. Zbl 1416.65459
Mu, Lin; Ye, Xiu
2017
A new method for simultaneously reconstructing the space-time dependent Robin coefficient and heat flux in a parabolic system dimension. Zbl 1422.65234
Abdelhamid, Talaat; Deng, Xiaomao; Chen, Rongliang
2017
Nonconforming finite volume methods for second order elliptic boundary value problems. Zbl 1422.65422
Zhang, Yuanyuan; Chen, Zhongying
2017
Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. Zbl 1380.65261
Fu, Guosheng; Shu, Chi-Wang
2017
Finite element method to control the domain singularities of Poisson equation using the stress intensity factor: mixed boundary condition. Zbl 1380.65375
Kim, Seokchan; Lee, Hyung-Chun
2017
A simple finite element method of the Cauchy problem for Poisson equation. Zbl 1380.65372
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2017
Maximal $$L^p$$ error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients. Zbl 1380.65277
2017
Differential quadrature-based simulation of a class of fuzzy damped fractional dynamical systems. Zbl 1373.37174
Tomasiello, Stefania; Khattri, Sanjay K.; Awrejcewicz, Jan
2017
Second-order total variation and primal-dual algorithm for CT image reconstruction. Zbl 1367.92063
Luo, Shousheng; Lv, Qian; Chen, Heshan; Song, Jinping
2017
High-resolution image reconstruction: an $$\mathrm{env}_{\ell^{1}}/\text{TV}$$ model and a fixed-point proximity algorithm. Zbl 1415.94031
Long, Wenting; Lu, Yao; Shen, Lixin; Xu, Yuesheng
2017
Modeling the lid driven flow: theory and computation. Zbl 1375.76042
Hamouda, Makram; Temam, Roger; Zhang, Le
2017
An optimal a posteriori error estimates of the local discontinuous Galerkin method for the second-order wave equation in one space dimension. Zbl 1422.65225
Baccouch, Mahboub
2017
Pricing European options on zero-coupon bonds with a fitted finite volume method. Zbl 1411.91630
Zhang, Kai; Yang, Xiao Qi
2017
Mixed finite volume method for elliptic problems on non-matching multi-block triangular grids. Zbl 1422.65341
Gao, Yanni; Lv, Junliang; Zhang, Lanhui
2017
A finite element method for the one-dimensional prescribed curvature problem. Zbl 1380.65361
Brenner, Susanne C.; Sung, Li-Yeng; Wang, Zhuo; Xu, Yuesheng
2017
New finite element iterative methods for solving a nonuniform ionic size modified Poisson-Boltzmann equation. Zbl 1380.92023
Xie, Dexuan
2017
An augmented IIM & preconditioning technique for jump embedded boundary conditions. Zbl 1386.65101
Angot, Philippe; Li, Zhilin
2017
A nodal sparse grid spectral element method for multi-dimensional elliptic partial differential equations. Zbl 1429.65287
Rong, Zhijian; Shen, Jie; Yu, Haijun
2017
A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system. Zbl 1401.65110
Ploymaklam, Nattapol; Kumbhar, Pratik M.; Pani, Amiya K.
2017
Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114
Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G.
2016
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#### Cited by 2,916 Authors

 42 Shi, Dongyang 33 Chen, Yanping 23 Huang, Yunqing 23 Ye, Xiu 22 Lin, Tao 21 Lin, Yanping 20 Mu, Lin 20 Sun, Weiwei 19 He, Xiaoming 19 He, Yinnian 18 Gatica, Gabriel N. 18 Wang, Cheng 17 Baccouch, Mahboub 17 Jung, Changyeol 17 Li, Jian 16 Zhang, Zhimin 15 Wang, Hong 15 Wang, Junping 14 Chung, Tsz Shun Eric 13 Chen, Zhangxin 13 Cui, Junzhi 12 Pani, Amiya Kumar 12 Ruiz-Baier, Ricardo 12 Temam, Roger Meyer 12 Wang, Kun 11 An, Rong 11 Dolejší, Vít 11 Guan, Hongbo 11 Gunzburger, Max D. 11 Li, Hong 11 Li, Jichun 11 Lu, Zuliang 11 Shu, Chi-Wang 10 Huang, Pengzhan 10 Huang, Qiumei 10 Li, Buyang 10 Liu, Jiangguo 10 Liu, Yang 10 Mao, Xuerong 10 O’Riordan, Eugene 10 Sun, Shuyu 10 Tai, Xuecheng 10 Wang, Chunmei 10 Yang, Xiaofeng 10 Zhu, Qiding 9 Du, Qiang 9 Feng, Xinlong 9 Guillén González, Francisco M. 9 Guo, Ruchi 9 Ju, Lili 9 Layton, William J. 9 Liu, Jinghong 9 Mao, Shipeng 9 Oyarzúa, Ricardo 9 Rebholz, Leo G. 9 Si, Zhiyong 9 Wang, Ruishu 9 Wu, Tingting 9 Zhai, Qilong 9 Zhang, Ran 9 Zhang, Shangyou 9 Zhang, Xu 8 Bartosz, Krzysztof 8 Cao, Liqun 8 Clavero, Carmelo 8 Dehghan Takht Fooladi, Mehdi 8 Dumbser, Michael 8 Gan, Siqing 8 Gracia, José Luis 8 Hoang, Manh Tuan 8 Hou, Yanren 8 Houston, Paul 8 Jiang, Yaolin 8 Münch, Arnaud 8 Natesan, Srinivasan 8 Nie, Yufeng 8 Wang, Jilu 8 Wang, Xiaoshen 8 Zhang, Kai 8 Zhou, Zhaojie 8 Zhu, Shengfeng 7 Bi, Chunjia 7 Chen, Ke 7 Colmenares, Eligio 7 Fu, Hongfei 7 Gao, Huadong 7 Guo, Hui 7 He, Wenming 7 Kumar, Sarvesh 7 Ma, Qiang 7 Qiao, Zhonghua 7 Roul, Pradip 7 Shen, Wanfang 7 Venturi, Daniele 7 Wang, Liqun 7 Wu, Jiming 7 Zhang, Yangwen 6 Cao, Yong 6 Chen, Chuanjun 6 Chen, Huanzhen ...and 2,816 more Authors
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#### Cited in 248 Journals

 197 Journal of Computational and Applied Mathematics 169 Journal of Scientific Computing 132 Journal of Computational Physics 125 Computers & Mathematics with Applications 124 Applied Mathematics and Computation 109 Applied Numerical Mathematics 68 Computer Methods in Applied Mechanics and Engineering 55 Numerical Methods for Partial Differential Equations 52 SIAM Journal on Numerical Analysis 49 Numerische Mathematik 43 Numerical Algorithms 40 SIAM Journal on Scientific Computing 37 Advances in Computational Mathematics 31 Mathematics of Computation 27 Journal of Mathematical Analysis and Applications 27 Computational Geosciences 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Computers and Fluids 21 Discrete and Continuous Dynamical Systems. Series B 20 Mathematical Problems in Engineering 19 Mathematics and Computers in Simulation 19 Applied Mathematics Letters 19 Abstract and Applied Analysis 18 Computational and Applied Mathematics 17 BIT 17 Calcolo 17 Science China. Mathematics 16 Mathematical Methods in the Applied Sciences 15 Applied Mathematical Modelling 13 International Journal for Numerical Methods in Engineering 12 International Journal of Numerical Analysis and Modeling 11 Communications in Nonlinear Science and Numerical Simulation 11 Computational Methods in Applied Mathematics 11 Journal of Applied Mathematics 11 Advances in Difference Equations 10 Applications of Mathematics 9 Journal of Applied Mathematics and Computing 9 Boundary Value Problems 9 Electronic Research Archive 8 Journal of Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal of Systems Science and Complexity 8 Multiscale Modeling & Simulation 8 Results in Applied Mathematics 7 Applicable Analysis 7 Journal of Mathematical Imaging and Vision 7 Engineering Analysis with Boundary Elements 7 Journal of Inequalities and Applications 7 Nonlinear Analysis. Real World Applications 6 SIAM Journal on Control and Optimization 6 Mathematical and Computer Modelling 6 Science in China. Series A 6 SIAM Journal on Mathematical Analysis 6 Computational Optimization and Applications 6 Discrete Dynamics in Nature and Society 6 Inverse Problems and Imaging 6 Evolution Equations and Control Theory 5 Journal of Fluid Mechanics 5 Journal of Optimization Theory and Applications 5 Computational Mathematics and Mathematical Physics 5 Differential Equations 5 International Journal of Computational Methods 5 Mediterranean Journal of Mathematics 5 Frontiers of Mathematics in China 5 East Asian Journal on Applied Mathematics 4 Journal of Mathematical Biology 4 Applied Mathematics and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Physica D 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Non-Newtonian Fluid Mechanics 4 SIAM Journal on Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Vietnam Journal of Mathematics 4 Taiwanese Journal of Mathematics 4 International Journal of Applied Mathematics and Computer Science 4 Journal of Numerical Mathematics 4 Central European Journal of Mathematics 4 Kinetic and Related Models 3 Archive for Rational Mechanics and Analysis 3 International Journal for Numerical Methods in Fluids 3 Inverse Problems 3 Journal of the Franklin Institute 3 Journal of Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Kybernetika 3 Systems & Control Letters 3 Stochastic Analysis and Applications 3 Computational Mechanics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Applied Mathematics. Series B (English Edition) 3 Discrete and Continuous Dynamical Systems 3 Computing and Visualization in Science 3 Differential Equations and Dynamical Systems 3 Mathematical Modelling and Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 148 more Journals
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#### Cited in 45 Fields

 1,767 Numerical analysis (65-XX) 957 Partial differential equations (35-XX) 540 Fluid mechanics (76-XX) 177 Calculus of variations and optimal control; optimization (49-XX) 168 Mechanics of deformable solids (74-XX) 145 Probability theory and stochastic processes (60-XX) 116 Ordinary differential equations (34-XX) 92 Optics, electromagnetic theory (78-XX) 84 Biology and other natural sciences (92-XX) 48 Systems theory; control (93-XX) 41 Integral equations (45-XX) 41 Statistical mechanics, structure of matter (82-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Classical thermodynamics, heat transfer (80-XX) 38 Computer science (68-XX) 33 Geophysics (86-XX) 33 Information and communication theory, circuits (94-XX) 26 Approximations and expansions (41-XX) 21 Operations research, mathematical programming (90-XX) 19 Operator theory (47-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Statistics (62-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Real functions (26-XX) 8 Quantum theory (81-XX) 6 Integral transforms, operational calculus (44-XX) 6 Functional analysis (46-XX) 5 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Potential theory (31-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 General topology (54-XX) 1 Algebraic geometry (14-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 (73-XX) 1 Astronomy and astrophysics (85-XX)