The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
Kinji Baba , Masahisa Tabata
RAIRO. Anal. numér., 15 1 (1981) 3-25
Published online: 2017-01-31
This article has been cited by the following article(s):
80 articles
Gabriel R. Barrenechea, Volker John and Petr Knobloch 61 221 (2025) https://doi.org/10.1007/978-3-031-80684-1_8
Error Estimates for First- and Second-Order Lagrange–Galerkin Moving Mesh Schemes for the One-Dimensional Convection–Diffusion Equation
Kharisma Surya Putri, Tatsuki Mizuochi, Niklas Kolbe and Hirofumi Notsu Journal of Scientific Computing 101 (2) (2024) https://doi.org/10.1007/s10915-024-02673-4
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations
Gabriel R. Barrenechea, Volker John and Petr Knobloch SIAM Review 66 (1) 3 (2024) https://doi.org/10.1137/22M1488934
Finite element numerical schemes for a chemo-attraction and consumption model
F. Guillén-González and G. Tierra Journal of Computational and Applied Mathematics 441 115676 (2024) https://doi.org/10.1016/j.cam.2023.115676
The Dual Characteristic-Galerkin Method
Frédéric Hecht and Olivier Pironneau Comptes Rendus. Mathématique 362 (G10) 1109 (2024) https://doi.org/10.5802/crmath.598
Streamline Diffusion Weak Galerkin Finite Element Methods for Linear Unsteady State Convection Diffusion Equations and Error Analysis
I. A. Abed and H. A. Kashkool, Malaysian Journal of Mathematical Sciences 18 (3) 597 (2024) https://doi.org/10.47836/mjms.18.3.09
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions
Yohance A. P. Osborne and Iain Smears SIAM Journal on Numerical Analysis 62 (1) 138 (2024) https://doi.org/10.1137/22M1519274
Analysis of an Energy-Dissipating Finite Volume Scheme on Admissible Mesh for the Aggregation-Diffusion Equations
Ping Zeng and Guanyu Zhou Journal of Scientific Computing 99 (2) (2024) https://doi.org/10.1007/s10915-024-02522-4
A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles
Volker John, Petr Knobloch and Ondřej Pártl Computational Methods in Applied Mathematics 23 (4) 969 (2023) https://doi.org/10.1515/cmam-2022-0125
Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion–reaction equations
J.E. Macías-Díaz and A. Gallegos Journal of Computational and Applied Mathematics 404 113118 (2022) https://doi.org/10.1016/j.cam.2020.113118
A Mass-Preserving Two-Step Lagrange–Galerkin Scheme for Convection-Diffusion Problems
Kouta Futai, Niklas Kolbe, Hirofumi Notsu and Tasuku Suzuki Journal of Scientific Computing 92 (2) (2022) https://doi.org/10.1007/s10915-022-01885-w
Space-Time Petrov-Discontinuous Galerkin Finite Element Method for Solving Linear Convection-Diffusion Problems
Mohammed Waleed AbdulRidha and Hashim A Kashkool Journal of Physics: Conference Series 2322 (1) 012007 (2022) https://doi.org/10.1088/1742-6596/2322/1/012007
Advancing parameter estimation with Characteristic Finite Difference Method (CFDM) for a marine ecosystem model by assimilating satellite observations: Spatial distributions
Minjie Xu, Yongzhi Liu, Zihan Zhao, Kai Fu and Xianqing Lv Frontiers in Marine Science 9 (2022) https://doi.org/10.3389/fmars.2022.997537
A nonnegativity preserving scheme for the relaxed Cahn–Hilliard equation with single-well potential and degenerate mobility
Federica Bubba and Alexandre Poulain ESAIM: Mathematical Modelling and Numerical Analysis 56 (5) 1741 (2022) https://doi.org/10.1051/m2an/2022050
211 (2022) https://doi.org/10.1002/9781394163991.refs
On algebraically stabilized schemes for convection–diffusion–reaction problems
Volker John and Petr Knobloch Numerische Mathematik 152 (3) 553 (2022) https://doi.org/10.1007/s00211-022-01325-9
Stabilized methods for high-speed compressible flows: toward hypersonic simulations
David Codoni, Georgios Moutsanidis, Ming-Chen Hsu, et al. Computational Mechanics 67 (3) 785 (2021) https://doi.org/10.1007/s00466-020-01963-6
Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative
Debora D. Medeiros, Hirofumi Notsu and Cassio M. Oishi SIAM Journal on Numerical Analysis 59 (6) 2955 (2021) https://doi.org/10.1137/20M1364990
A dynamically consistent exponential scheme to solve some advection–reaction equations with Riesz anomalous diffusion
J.E. Macías-Díaz Journal of Computational and Applied Mathematics 378 112920 (2020) https://doi.org/10.1016/j.cam.2020.112920
On the stability and convergence of an implicit logarithmic scheme for diffusion equations with nonlinear reaction
Jorge E. Macías-Díaz and Ahmed S. Hendy Journal of Mathematical Chemistry 58 (3) 735 (2020) https://doi.org/10.1007/s10910-020-01103-8
Numerical efficiency of some exponential methods for an advection–diffusion equation
Jorge Eduardo Macías-Díaz and Bilge İnan International Journal of Computer Mathematics 96 (5) 1005 (2019) https://doi.org/10.1080/00207160.2018.1478416
Structural and numerical analysis of an implicit logarithmic scheme for diffusion equations with nonlinear reaction
Jorge E. Macías-Díaz and Bilge İnan International Journal of Modern Physics C 30 (09) 1950065 (2019) https://doi.org/10.1142/S0129183119500657
A modified exponential method that preserves structural properties of the solutions of the Burgers–Huxley equation
J. E. Macías-Díaz International Journal of Computer Mathematics 95 (1) 3 (2018) https://doi.org/10.1080/00207160.2017.1377339
Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis
Guanyu Zhou and Norikazu Saito Numerische Mathematik 135 (1) 265 (2017) https://doi.org/10.1007/s00211-016-0793-2
Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
Minjie Xu, Kai Fu and Xianqing Lv Advances in Mathematical Physics 2017 1 (2017) https://doi.org/10.1155/2017/5865403
A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers–Fisher equation
J.E. Macías-Díaz, Armando Gallegos and H. Vargas-Rodríguez Journal of Computational and Applied Mathematics 318 366 (2017) https://doi.org/10.1016/j.cam.2016.07.026
A second-order changing-connectivity ALE scheme and its application to FSI with large convection of fluids and near contact of structures
Jie Liu Journal of Computational Physics 304 380 (2016) https://doi.org/10.1016/j.jcp.2015.10.015
Error Estimates of a Pressure-Stabilized Characteristics Finite Element Scheme for the Oseen Equations
Hirofumi Notsu and Masahisa Tabata Journal of Scientific Computing 65 (3) 940 (2015) https://doi.org/10.1007/s10915-015-9992-8
The characteristic variational multiscale method for convection-dominated convection–diffusion–reaction problems
Lingzhi Qian, Huiping Cai, Rui Guo and Xinlong Feng International Journal of Heat and Mass Transfer 72 461 (2014) https://doi.org/10.1016/j.ijheatmasstransfer.2014.01.020
Nonnegativity of exact and numerical solutions of some chemotactic models
Patrick De Leenheer, Jay Gopalakrishnan and Erica Zuhr Computers & Mathematics with Applications 66 (3) 356 (2013) https://doi.org/10.1016/j.camwa.2013.05.014
Development and L2-Analysis of a Single-Step Characteristics Finite Difference Scheme of Second Order in Time for Convection-Diffusion Problems
Hirofumi Notsu, Hongxing Rui and Masahisa Tabata Journal of Algorithms & Computational Technology 7 (3) 343 (2013) https://doi.org/10.1260/1748-3018.7.3.343
Elementos finitos em formulação mista de mínimos quadrados para a simulação da convecção-difusão em regime transiente
V. Ruas, R.C.P. Leal-Toledo and M. Kischinhevsky Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 29 (1) 21 (2013) https://doi.org/10.1016/j.rimni.2012.12.002
Error analysis of a conservative
finite-element approximation for the Keller-Segel system of chemotaxis
Norikazu Saito Communications on Pure & Applied Analysis 11 (1) 339 (2012) https://doi.org/10.3934/cpaa.2012.11.339
The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems
Lingzhi Qian, Xinlong Feng and Yinnian He Applied Mathematical Modelling 36 (2) 561 (2012) https://doi.org/10.1016/j.apm.2011.07.034
An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
Fuzheng Gao, Yirang Yuan and Ning Du American Journal of Computational Mathematics 01 (04) 264 (2011) https://doi.org/10.4236/ajcm.2011.14032
Numerical analysis of a least-squares finite element method for the time-dependent advection–diffusion equation
R.C. Leal Toledo and V. Ruas Journal of Computational and Applied Mathematics 235 (12) 3615 (2011) https://doi.org/10.1016/j.cam.2011.02.022
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
Erik Burman, Alfio Quarteroni and Benjamin Stamm Journal of Scientific Computing 43 (3) 293 (2010) https://doi.org/10.1007/s10915-008-9232-6
A Mass-Conservative Characteristic Finite Element Scheme for Convection-Diffusion Problems
Hongxing Rui and Masahisa Tabata Journal of Scientific Computing 43 (3) 416 (2010) https://doi.org/10.1007/s10915-009-9283-3
Stability and convergence of a Galerkin‐characteristics finite element scheme of lumped mass type
O. Pironneau and M. Tabata International Journal for Numerical Methods in Fluids 64 (10-12) 1240 (2010) https://doi.org/10.1002/fld.2459
Dimension estimate of the global attractor for a semi-discretized chemotaxis–growth system by conservative upwind finite-element scheme
Messoud Efendiev, Etsushi Nakaguchi and Wolfgang L. Wendland Journal of Mathematical Analysis and Applications 358 (1) 136 (2009) https://doi.org/10.1016/j.jmaa.2009.04.025
A Single-Step Characteristic-Curve Finite Element Scheme of Second Order in Time for the Incompressible Navier-Stokes Equations
Hirofumi Notsu and Masahisa Tabata Journal of Scientific Computing 38 (1) 1 (2009) https://doi.org/10.1007/s10915-008-9217-5
An explicit method for convection-diffusion equations
Vitoriano Ruas, Antonio Brasil and Paulo Trales Japan Journal of Industrial and Applied Mathematics 26 (1) 65 (2009) https://doi.org/10.1007/BF03167546
An upwind finite volume element method based on quadrilateral meshes for nonlinear convection‐diffusion problems
Fu‐Zheng Gao and Yi‐Rang Yuan Numerical Methods for Partial Differential Equations 25 (5) 1067 (2009) https://doi.org/10.1002/num.20387
Enforcement of constraints and maximum principles in the variational multiscale method
John A. Evans, Thomas J.R. Hughes and Giancarlo Sangalli Computer Methods in Applied Mechanics and Engineering 199 (1-4) 61 (2009) https://doi.org/10.1016/j.cma.2009.09.019
The characteristic finite volume element method for the nonlinear convection-dominated diffusion problem
Fuzheng Gao and Yirang Yuan Computers & Mathematics with Applications 56 (1) 71 (2008) https://doi.org/10.1016/j.camwa.2007.11.033
Convergence analysis of an upwind finite volume element method with Crouzeix-Raviart element for non-selfadjoint and indefinite problems
Hongxing Rui and Chunjia Bi Frontiers of Mathematics in China 3 (4) 563 (2008) https://doi.org/10.1007/s11464-008-0034-9
An upwind finite‐volume element scheme and its maximum‐principle‐preserving property for nonlinear convection–diffusion problem
Fuzheng Gao, Yirang Yuan and Danping Yang International Journal for Numerical Methods in Fluids 56 (12) 2301 (2008) https://doi.org/10.1002/fld.1623
Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections
Yan Luo and Min-fu Feng Applied Mathematics and Mechanics 29 (2) 171 (2008) https://doi.org/10.1007/s10483-008-0205-z
The upwind finite volume element method based on straight triangular prism partition for nonlinear convection-diffusion problem
Fuzheng Gao and Yirang Yuan Applied Mathematics and Computation 181 (2) 1229 (2006) https://doi.org/10.1016/j.amc.2006.02.022
Flux-Corrected Transport
Dmitri Kuzmin and Matthias Möller Scientific Computation, Flux-Corrected Transport 155 (2005) https://doi.org/10.1007/3-540-27206-2_6
High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter
D. Kuzmin and S. Turek Journal of Computational Physics 198 (1) 131 (2004) https://doi.org/10.1016/j.jcp.2004.01.015
Error estimates for the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated problems
M.D. Tidriri Journal of Computational and Applied Mathematics 156 (1) 77 (2003) https://doi.org/10.1016/S0377-0427(02)00905-6
Layer-adapted meshes for convection–diffusion problems
Torsten Linß Computer Methods in Applied Mechanics and Engineering 192 (9-10) 1061 (2003) https://doi.org/10.1016/S0045-7825(02)00630-8
Numerical Methods for Fluids (Part 3)
Roland Glowinski Handbook of Numerical Analysis, Numerical Methods for Fluids (Part 3) 9 3 (2003) https://doi.org/10.1016/S1570-8659(03)09003-3
A level set method using the signed distance function
Masato Kimura and Hirofumi Notsu Japan Journal of Industrial and Applied Mathematics 19 (3) 415 (2002) https://doi.org/10.1007/BF03167487
On vertex-centered unstructured finite-volume methods for stretched anisotropic triangulations
C. Viozat, C. Held, K. Mer and A. Dervieux Computer Methods in Applied Mechanics and Engineering 190 (35-36) 4733 (2001) https://doi.org/10.1016/S0045-7825(00)00345-5
Error analysis of upwind‐discretizations for the steady‐state incompressible Navier–Stokes equations
Lutz Angermann Advances in Computational Mathematics 13 (2) 167 (2000) https://doi.org/10.1023/A:1018902210295
Error Estimates for a Combined Finite Volume--Finite Element Method for Nonlinear Convection--Diffusion Problems
Miloslav Feistauer, Jirí Felcman, Mária Lukácová-Medvid'ová and Gerald Warnecke SIAM Journal on Numerical Analysis 36 (5) 1528 (1999) https://doi.org/10.1137/S0036142997314695
The finite volume method and application in combinations
Zi-Cai Li and Song Wang Journal of Computational and Applied Mathematics 106 (1) 21 (1999) https://doi.org/10.1016/S0377-0427(99)00051-5
On box schemes for elartliptic variational inequalities
J. Steinbach Numerical Functional Analysis and Optimization 18 (9-10) 1041 (1997) https://doi.org/10.1080/01630569708816808
Shock Waves @ Marseille I
Roland Richter and Pénélope Leyland Shock Waves @ Marseille I 413 (1995) https://doi.org/10.1007/978-3-642-78829-1_67
Efficient simulation of nonlinear viscoelastic fluid flows
P Saramito Journal of Non-Newtonian Fluid Mechanics 60 (2-3) 199 (1995) https://doi.org/10.1016/0377-0257(95)01380-2
GMRES acceleration of iterative implicit finite element solvers for compressible Euler and Navier‐Stokes equations
Rémi Choquet, Pénélope Leyland and Tiana Tefy International Journal for Numerical Methods in Fluids 20 (8-9) 957 (1995) https://doi.org/10.1002/fld.1650200816
Entropy correcting schemes and non‐hierarchical auto‐adaptive dynamic finite element‐type meshes: Applications to unsteady aerodynamics
Roland Richter and Pénélope Leyland International Journal for Numerical Methods in Fluids 20 (8-9) 853 (1995) https://doi.org/10.1002/fld.1650200811
Modélisation numérique des transferts d'humidité en milieux poreux
Patrick Le Tallec and Pierre Nicolas Revue Européenne des Éléments Finis 3 (1) 57 (1994) https://doi.org/10.1080/12506559.1994.10511109
Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling
P. Saramito and J.M. Piau Journal of Non-Newtonian Fluid Mechanics 52 (2) 263 (1994) https://doi.org/10.1016/0377-0257(94)80055-3
Iterative Defect Correction and Multigrid Accelerated Explicit Time Stepping Schemes for the Steady Euler Equations
Marie-Hélène Lallemand and Barry Koren SIAM Journal on Scientific Computing 14 (4) 953 (1993) https://doi.org/10.1137/0914058
A Douglas-Wang finite element approach for transient advection-diffusion problems
Ali Khelifa, Jean-Loup Robert and Yvon Ouellet Computer Methods in Applied Mechanics and Engineering 110 (1-2) 113 (1993) https://doi.org/10.1016/0045-7825(93)90023-Q
PENELOPE LEYLAND (1993) https://doi.org/10.2514/6.1993-2938
Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics
Pénélope Leyland, Roland Richter and Tristan Neve Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics 223 (1992) https://doi.org/10.1007/978-3-663-13974-4_22
Upwind finite volume schemes with anti-diffusion for the numerical study of electric discharges in gas-filled cavities
Paul Arminjon and Luc Smith Computer Methods in Applied Mechanics and Engineering 100 (2) 149 (1992) https://doi.org/10.1016/0045-7825(92)90181-I
Finite Element Methods (Part 1)
Hiroshi Fujita and Takashi Suzuki Handbook of Numerical Analysis, Finite Element Methods (Part 1) 2 789 (1991) https://doi.org/10.1016/S1570-8659(05)80043-2
A partial upwind finite element approximation for the stationary Navier-Stokes equations
H. Kanayama and K. Toshigami Computational Mechanics 5 (2-3) 209 (1989) https://doi.org/10.1007/BF01046486
Numerical simulation of semiconductor devices
Franco Brezzi, Luisa Donatella Marini and Paola Pietra Computer Methods in Applied Mechanics and Engineering 75 (1-3) 493 (1989) https://doi.org/10.1016/0045-7825(89)90044-3
A partial upwind difference scheme for nonlinear parabolic equations
Maharaja C. Pandian Journal of Computational and Applied Mathematics 26 (3) 219 (1989) https://doi.org/10.1016/0377-0427(89)90295-1
Finite Elements
O. Pironneau ICASE/NASA LaRC Series, Finite Elements 67 (1988) https://doi.org/10.1007/978-1-4612-3786-0_4
Patterns and Waves - Qualitative Analysis of Nonlinear Differential Equations
Masahisa Tabata Studies in Mathematics and Its Applications, Patterns and Waves - Qualitative Analysis of Nonlinear Differential Equations 18 319 (1986) https://doi.org/10.1016/S0168-2024(08)70135-8
Necessary convergence conditions for upwind schemes in the two‐dimensional case
H. ‐G. Roos International Journal for Numerical Methods in Engineering 21 (8) 1459 (1985) https://doi.org/10.1002/nme.1620210808
On numerical asymptotic behavior of finite element solutions for parabolic equations
Kazuo Ishihara Numerische Mathematik 44 (2) 285 (1984) https://doi.org/10.1007/BF01410112
A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations
Katsushi Ohmori and Teruo Ushijima RAIRO. Analyse numérique 18 (3) 309 (1984) https://doi.org/10.1051/m2an/1984180303091