Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems
ESAIM: M2AN, 22 3 (1988) 371-387
Published online: 2017-01-31
Articles citing this article
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:
This article has been cited by the following article(s):
Highly efficient numerical algorithm for compressible miscible displacement problem involving dispersion term
Hanzhang Hu and Ying LiuInternational Journal of Numerical Methods for Heat & Fluid Flow 35 (4) 1335 (2025)
https://doi.org/10.1108/HFF-10-2024-0763
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media
Yanzhao Cao, Thi-Thao-Phuong Hoang and Phuoc-Toan HuynhIMA Journal of Numerical Analysis 45 (1) 283 (2025)
https://doi.org/10.1093/imanum/drae005
A coupling of Galerkin and mixed finite element methods for the quasi-static thermo-poroelasticity with nonlinear convective transport
Jing Zhang and Hongxing RuiJournal of Computational and Applied Mathematics 441 115672 (2024)
https://doi.org/10.1016/j.cam.2023.115672
A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress
Lina ZhaoComputers & Mathematics with Applications 155 35 (2024)
https://doi.org/10.1016/j.camwa.2023.11.040
Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity
Huadong Gao and Weiwei SunSIAM Journal on Numerical Analysis 61 (2) 929 (2023)
https://doi.org/10.1137/22M1483670
Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation
Evelyn Herberg and Michael HinzeMathematical Control and Related Fields 13 (2) 695 (2023)
https://doi.org/10.3934/mcrf.2022013
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport
Lina Zhao and Shuyu SunSIAM Journal on Scientific Computing 45 (2) B166 (2023)
https://doi.org/10.1137/21M145700X
An Lp- primal–dual weak Galerkin method for convection–diffusion equations
Waixiang Cao, Chunmei Wang and Junping WangJournal of Computational and Applied Mathematics 419 114698 (2023)
https://doi.org/10.1016/j.cam.2022.114698
Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations
Yun-Bo Yang and Yao-Lin JiangApplied Numerical Mathematics 183 86 (2023)
https://doi.org/10.1016/j.apnum.2022.08.017
A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem
Sergio Caucao, Eligio Colmenares, Gabriel N. Gatica and Cristian InzunzaComputers & Mathematics with Applications 145 65 (2023)
https://doi.org/10.1016/j.camwa.2023.06.006
A characteristic expanded mixed finite element numerical method for incompressible miscible displacement problem involving dispersion term
Hanzhang HuZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 102 (9) (2022)
https://doi.org/10.1002/zamm.202100553
An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
Gabriel N Gatica, Salim Meddahi and Ricardo Ruiz-BaierIMA Journal of Numerical Analysis 42 (4) 3154 (2022)
https://doi.org/10.1093/imanum/drab063
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem
Lina ZhaoSIAM Journal on Scientific Computing 44 (5) B1221 (2022)
https://doi.org/10.1137/21M1449750
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces
Gabriel N. Gatica, Cristian Inzunza and Filánder A. SequeiraJournal of Scientific Computing 92 (3) (2022)
https://doi.org/10.1007/s10915-022-01959-9
Analysis of Lowest-Order Characteristics-Mixed FEMs for Incompressible Miscible Flow in Porous Media
Weiwei SunSIAM Journal on Numerical Analysis 59 (4) 1875 (2021)
https://doi.org/10.1137/20M1318766
$L^\infty$ Norm Error Estimates for HDG Methods Applied to the Poisson Equation with an Application to the Dirichlet Boundary Control Problem
Gang Chen, Peter B. Monk and Yangwen ZhangSIAM Journal on Numerical Analysis 59 (2) 720 (2021)
https://doi.org/10.1137/20M1338551
Mixed Finite Element Method for Modified Poisson–Nernst–Planck/Navier–Stokes Equations
Mingyan He and Pengtao SunJournal of Scientific Computing 87 (3) (2021)
https://doi.org/10.1007/s10915-021-01478-z
Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations
Huadong Gao, Weiwei Sun and Chengda WuIMA Journal of Numerical Analysis 41 (4) 3175 (2021)
https://doi.org/10.1093/imanum/draa063
Optimal error analysis of Crank–Nicolson lowest‐order Galerkin‐mixed finite element method for incompressible miscible flow in porous media
Huadong Gao and Weiwei SunNumerical Methods for Partial Differential Equations 36 (6) 1773 (2020)
https://doi.org/10.1002/num.22503
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media
Weiwei Sun and Chengda WuMathematics of Computation 90 (327) 81 (2020)
https://doi.org/10.1090/mcom/3561
A two-grid Eulerian–Lagrangian localized adjoint method to miscible displacement problems with dispersion term
Yang Wang, Yanping Chen and Yunqing HuangComputers & Mathematics with Applications 80 (4) 54 (2020)
https://doi.org/10.1016/j.camwa.2020.04.005
An expanded mixed finite element method for two-dimensional Sobolev equations
Na Li, Ping Lin and Fuzheng GaoJournal of Computational and Applied Mathematics 348 342 (2019)
https://doi.org/10.1016/j.cam.2018.08.041
A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
Ilona Ambartsumyan, Vincent J. Ervin, Truong Nguyen and Ivan YotovESAIM: Mathematical Modelling and Numerical Analysis 53 (6) 1915 (2019)
https://doi.org/10.1051/m2an/2019061
A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations
Huadong Gao and Pengtao SunJournal of Scientific Computing 77 (2) 793 (2018)
https://doi.org/10.1007/s10915-018-0727-5
Superconvergence of least-squares methods for a coupled system of elliptic equations
JaEun KuComputers & Mathematics with Applications 75 (6) 2059 (2018)
https://doi.org/10.1016/j.camwa.2017.10.042
Advances in Internet, Data & Web Technologies
Yanping Li and Qingli ZhaoLecture Notes on Data Engineering and Communications Technologies, Advances in Internet, Data & Web Technologies 17 818 (2018)
https://doi.org/10.1007/978-3-319-75928-9_74
231 (2015)
https://doi.org/10.1109/3PGCIC.2015.71
OPTIMAL L2-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS
Mi Ray Ohm, Hyun Young Lee and Jun Yong ShinJournal of the Korean Mathematical Society 51 (3) 545 (2014)
https://doi.org/10.4134/JKMS.2014.51.3.545
Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems
Fabian Brunner, Florin A. Radu and Peter KnabnerSIAM Journal on Numerical Analysis 52 (1) 83 (2014)
https://doi.org/10.1137/130908191
MIXED FINITE ELEMENT APPROXIMATION OF THE VECTOR LAPLACIAN WITH DIRICHLET BOUNDARY CONDITIONS
DOUGLAS N. ARNOLD, RICHARD S. FALK and JAY GOPALAKRISHNANMathematical Models and Methods in Applied Sciences 22 (09) (2012)
https://doi.org/10.1142/S0218202512500248
Superconvergence of new mixed finite element spaces
YunKyong Hyon and Do Young KwakJournal of Computational and Applied Mathematics 235 (14) 4265 (2011)
https://doi.org/10.1016/j.cam.2011.03.022
Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
Wei Gong and Ningning YanSIAM Journal on Control and Optimization 49 (3) 984 (2011)
https://doi.org/10.1137/100795632
New mixed finite volume methods for second order eliptic problems
Kwang Y. KimESAIM: Mathematical Modelling and Numerical Analysis 40 (1) 123 (2006)
https://doi.org/10.1051/m2an:2006001
Suboptimal and Optimal Convergence in Mixed Finite Element Methods
Alan DemlowSIAM Journal on Numerical Analysis 39 (6) 1938 (2002)
https://doi.org/10.1137/S0036142900376900
Expanded mixed finite element methods for linear second-order elliptic problems, I
Zhangxin ChenESAIM: Mathematical Modelling and Numerical Analysis 32 (4) 479 (1998)
https://doi.org/10.1051/m2an/1998320404791
Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
Eun-Jae ParkSIAM Journal on Numerical Analysis 32 (3) 865 (1995)
https://doi.org/10.1137/0732040
A mixed finite element method for a strongly nonlinear second-order elliptic problem
F. A. Milner and E.-J. ParkMathematics of Computation 64 (211) 973 (1995)
https://doi.org/10.1090/S0025-5718-1995-1303087-3
Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Zhangxin ChenThe IMA Volumes in Mathematics and its Applications, Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations 75 187 (1995)
https://doi.org/10.1007/978-1-4612-4248-2_10
Superconvergence and extrapolation for mixed finite element methods on rectangular domains
Jun Ping WangMathematics of Computation 56 (194) 477 (1991)
https://doi.org/10.1090/S0025-5718-1991-1068807-0
Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
R. E. Ewing, R. D. Lazarov and J. WangSIAM Journal on Numerical Analysis 28 (4) 1015 (1991)
https://doi.org/10.1137/0728054
Superconvergence for rectangular mixed finite elements
Ricardo Dur�nNumerische Mathematik 58 (1) 287 (1990)
https://doi.org/10.1007/BF01385626
A Local Post-Processing Technique for Improving the Accuracy in Mixed Finite-Element Approximations
James H. Bramble and Jinchao XuSIAM Journal on Numerical Analysis 26 (6) 1267 (1989)
https://doi.org/10.1137/0726073