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:

The penalty algorithm method for the resolution of Darcy problem

Mohamed Abdelwahed, Nejmeddine Chorfi and Henda Ouertani
Mathematical Methods in the Applied Sciences (2020)
https://doi.org/10.1002/mma.6571

A posteriori analysis of the spectral element discretization of a non linear heat equation

Mohamed Abdelwahed and Nejmeddine Chorfi
Advances in Nonlinear Analysis 10 (1) 477 (2020)
https://doi.org/10.1515/anona-2020-0140

Spectral Element Methods a Priori and a Posteriori Error Estimates for Penalized Unilateral Obstacle Problem

Bochra Djeridi, Radouen Ghanem and Hocine Sissaoui
Journal of Scientific Computing 85 (3) (2020)
https://doi.org/10.1007/s10915-020-01355-1

Penalty algorithm adapted for the spectral element discretization of the Darcy equations

Mohamed Abdelwahed and Nejmeddine Chorfi
Boundary Value Problems 2019 (1) (2019)
https://doi.org/10.1186/s13661-019-01305-3

The a posteriori error estimates of Chebyshev–Petrov–Galerkin methods for second-order equations

Jianwei Zhou, Juan Zhang and Ziwu Jiang
Applied Mathematics Letters 60 126 (2016)
https://doi.org/10.1016/j.aml.2016.04.005

The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

Jianwei Zhou
Advances in Applied Mathematics and Mechanics 7 (2) 145 (2015)
https://doi.org/10.4208/aamm.2013.m193

Error estimates of spectral Legendre–Galerkin methods for the fourth-order equation in one dimension

Yanping Chen and Jianwei Zhou
Applied Mathematics and Computation 268 1217 (2015)
https://doi.org/10.1016/j.amc.2015.06.082

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

Philipp Dörsek and J. Markus Melenk
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 95 227 (2014)
https://doi.org/10.1007/978-3-319-01601-6_18

Automatic simplification of Darcy’s equations with pressure dependent permeability

Etienne Ahusborde, Mejdi Azaïez, Faker Ben Belgacem and Christine Bernardi
ESAIM: Mathematical Modelling and Numerical Analysis 47 (6) 1797 (2013)
https://doi.org/10.1051/m2an/2013089

Analysis and Numerics of Partial Differential Equations

Claudio Canuto and Marco Verani
Springer INdAM Series, Analysis and Numerics of Partial Differential Equations 4 165 (2013)
https://doi.org/10.1007/978-88-470-2592-9_11

An improved a posteriori error estimate for the Galerkin spectral method in one dimension

Jianwei Zhou and Danping Yang
Computers & Mathematics with Applications 61 (2) 334 (2011)
https://doi.org/10.1016/j.camwa.2010.11.008

A penalty algorithm for the spectral element discretization of the Stokes problem

Christine Bernardi, Adel Blouza, Nejmeddine Chorfi and Nizar Kharrat
ESAIM: Mathematical Modelling and Numerical Analysis 45 (2) 201 (2011)
https://doi.org/10.1051/m2an/2010038

A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations

Yanping Chen, Nianyu Yi and Wenbin Liu
SIAM Journal on Numerical Analysis 46 (5) 2254 (2008)
https://doi.org/10.1137/070679703

A laguerre-legendre spectral-element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors

J. Valenciano and M.A.J. Chaplain
Mathematical and Computer Modelling 41 (10) 1171 (2005)
https://doi.org/10.1016/j.mcm.2005.05.010

Element‐wise a posteriori estimates based on hierarchical bases for non‐linear parabolic problems

Javier de Frutos and Julia Novo
International Journal for Numerical Methods in Engineering 63 (8) 1146 (2005)
https://doi.org/10.1002/nme.1310

COMPUTING HIGHLY ACCURATE SOLUTIONS OF A TUMOUR ANGIOGENESIS MODEL

J. VALENCIANO and M. A. J. CHAPLAIN
Mathematical Models and Methods in Applied Sciences 13 (05) 747 (2003)
https://doi.org/10.1142/S0218202503002702