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:

Error analysis for local discontinuous Galerkin semidiscretization of Richards’ equation

Scott Congreve, Vít Dolejší and Sunčica Sakić
IMA Journal of Numerical Analysis (2024)
https://doi.org/10.1093/imanum/drae013

Iterative Methods with Nonconforming Time Grids for Nonlinear Flow Problems in Porous Media

Thi-Thao-Phuong Hoang and Iuliu Sorin Pop
Acta Mathematica Vietnamica 48 (1) 29 (2023)
https://doi.org/10.1007/s40306-022-00486-x

Robustness and efficiency of iteration schemes for variably saturated flow across the range of soils, initial and boundary conditions found in practice

Denis Maier, Héctor Montenegro and Bernhard Odenwald
Computational Geosciences 27 (5) 753 (2023)
https://doi.org/10.1007/s10596-023-10230-5

An adaptive solution strategy for Richards' equation

Jakob S. Stokke, Koondanibha Mitra, Erlend Storvik, Jakub W. Both and Florin A. Radu
Computers & Mathematics with Applications 152 155 (2023)
https://doi.org/10.1016/j.camwa.2023.10.020

Polyhedral Methods in Geosciences

Dibyendu Adak, Gianmarco Manzini and Sundararajan Natarajan
SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 259 (2021)
https://doi.org/10.1007/978-3-030-69363-3_7

An adaptive strategy for discontinuous Galerkin simulations of Richards’ equation: Application to multi-materials dam wetting

Jean-Baptiste Clément, Frédéric Golay, Mehmet Ersoy and Damien Sous
Advances in Water Resources 151 103897 (2021)
https://doi.org/10.1016/j.advwatres.2021.103897

A family of new globally convergent linearization schemes for solving Richards' equation

Guillermo Albuja and Andrés I. Ávila
Applied Numerical Mathematics 159 281 (2021)
https://doi.org/10.1016/j.apnum.2020.09.012

The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations

Jérôme Droniou and Kim-Ngan Le
SIAM Journal on Numerical Analysis 58 (3) 1965 (2020)
https://doi.org/10.1137/19M1260165

Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production

Vo Anh Khoa, Ekeoma Rowland Ijioma and Nguyen Nhu Ngoc
Computational and Applied Mathematics 39 (4) (2020)
https://doi.org/10.1007/s40314-020-01334-0

Numerical Mathematics and Advanced Applications ENUMATH 2017

Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Iuliu Sorin Pop and Florin Adrian Radu
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 49 (2019)
https://doi.org/10.1007/978-3-319-96415-7_3

Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows

Vít Dolejší, Michal Kuraz and Pavel Solin
Applied Mathematical Modelling 72 276 (2019)
https://doi.org/10.1016/j.apm.2019.02.037

A degenerate elliptic-parabolic system arising in competitive contaminant transport

Margarida Baía, Farid Bozorgnia, Léonard Monsaingeon and Juha Videman
Journal of Mathematical Analysis and Applications 457 (1) 77 (2018)
https://doi.org/10.1016/j.jmaa.2017.07.061

A linear domain decomposition method for partially saturated flow in porous media

David Seus, Koondanibha Mitra, Iuliu Sorin Pop, Florin Adrian Radu and Christian Rohde
Computer Methods in Applied Mechanics and Engineering 333 331 (2018)
https://doi.org/10.1016/j.cma.2018.01.029

Energy stable numerical methods for porous media flow type problems

Clément Cancès, A. Anciaux-Sedrakian and Q. H. Tran
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 78 (2018)
https://doi.org/10.2516/ogst/2018067

Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation

Konstantin Brenner and Clément Cancès
SIAM Journal on Numerical Analysis 55 (4) 1760 (2017)
https://doi.org/10.1137/16M1083414

Isothermal water flows in low porosity porous media in presence of vapor–liquid phase change

A. Farina, J. Bodin, T. Clopeau, et al.
Nonlinear Analysis: Real World Applications 15 306 (2014)
https://doi.org/10.1016/j.nonrwa.2011.11.021

A Numerical Approach to a Nonlinear and Degenerate Parabolic Problem by Regularization Scheme

Haitao Cao
Journal of Applied Mathematics and Physics 02 (05) 88 (2014)
https://doi.org/10.4236/jamp.2014.25012

Convergence analysis for a mixed finite element scheme for flow in strictly unsaturated porous media

Florin A. Radu and Wenqing Wang
Nonlinear Analysis: Real World Applications 15 266 (2014)
https://doi.org/10.1016/j.nonrwa.2011.05.003

Solution of double nonlinear problems in porous media by a combined finite volume–finite element algorithm

Mohammed Shuker Mahmood and Karel Kovářik
Applied Numerical Mathematics 82 11 (2014)
https://doi.org/10.1016/j.apnum.2013.12.007

Nonlinear parabolic equation with a dynamical boundary condition of diffusive type

Vladimír Vrábel’ and Marián Slodička
Applied Mathematics and Computation 222 372 (2013)
https://doi.org/10.1016/j.amc.2013.07.057

Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent

José C. M. Duque, Rui M. P. Almeida and Stanislav N. Antontsev
SIAM Journal on Numerical Analysis 51 (6) 3483 (2013)
https://doi.org/10.1137/120897006

Equivalent formulations and numerical schemes for a class of pseudo-parabolic equations

Y. Fan and I.S. Pop
Journal of Computational and Applied Mathematics 246 86 (2013)
https://doi.org/10.1016/j.cam.2012.07.031

REGULARIZATION SCHEMES FOR DEGENERATE RICHARDS EQUATIONS AND OUTFLOW CONDITIONS

IULIU SORIN POP and BEN SCHWEIZER
Mathematical Models and Methods in Applied Sciences 21 (08) 1685 (2011)
https://doi.org/10.1142/S0218202511005532

Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study

F.A. Radu, N. Suciu, J. Hoffmann, et al.
Advances in Water Resources 34 (1) 47 (2011)
https://doi.org/10.1016/j.advwatres.2010.09.012

Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates

Florin A. Radu and Iuliu Sorin Pop
Computational Geosciences 15 (3) 431 (2011)
https://doi.org/10.1007/s10596-010-9213-3

Combined higher order finite volume and finite element scheme for double porosity and non-linear adsorption of transport problem in porous media

Mohammed Shuker Mahmood, Milan Hokr and Michal Lukač
Journal of Computational and Applied Mathematics 235 (14) 4221 (2011)
https://doi.org/10.1016/j.cam.2011.03.016

Error estimates for the finite volume discretization for the porous medium equation

I.S. Pop, M. Sepúlveda, F.A. Radu and O.P. Vera Villagrán
Journal of Computational and Applied Mathematics 234 (7) 2135 (2010)
https://doi.org/10.1016/j.cam.2009.08.071

Newton method for reactive solute transport with equilibrium sorption in porous media

F.A. Radu and I.S. Pop
Journal of Computational and Applied Mathematics 234 (7) 2118 (2010)
https://doi.org/10.1016/j.cam.2009.08.070

Nonlinear Multigrid Methods for Numerical Solution of the Unsaturated Flow Equation in Two Space Dimensions

Gheorghe Juncu, Aurelian Nicola and Constantin Popa
Transport in Porous Media 83 (3) 637 (2010)
https://doi.org/10.1007/s11242-009-9465-3

Solution of nonlinear convection-diffusion problems by a conservative Galerkin-characteristics method

Mohammed Shuker Mahmood
Numerische Mathematik 112 (4) 601 (2009)
https://doi.org/10.1007/s00211-009-0221-y

Analysis of Galerkin-characteristics algorithm for variably saturated flow in porous media

Mohammed Shuker Mahmood
International Journal of Computer Mathematics 85 (3-4) 509 (2008)
https://doi.org/10.1080/00207160701411137

Semi-analytical solutions of a contaminant transport equation with nonlinear sorption in 1D

Peter Frolkovič and Jozef Kačur
Computational Geosciences 10 (3) 279 (2006)
https://doi.org/10.1007/s10596-006-9023-9

A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

Robert Eymard, Danielle Hilhorst and Martin Vohralík
Numerische Mathematik 105 (1) 73 (2006)
https://doi.org/10.1007/s00211-006-0036-z

Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theory

Akira Mizutani, Norikazu Saito and Takashi Suzuki
ESAIM: Mathematical Modelling and Numerical Analysis 39 (4) 755 (2005)
https://doi.org/10.1051/m2an:2005033

Approximation of a nonlinear degenerate parabolic equation via a linear relaxation scheme

Marián Slodička
Numerical Methods for Partial Differential Equations 21 (2) 191 (2005)
https://doi.org/10.1002/num.20033

Mixed finite elements for the Richards’ equation: linearization procedure

I.S. Pop, F. Radu and P. Knabner
Journal of Computational and Applied Mathematics 168 (1-2) 365 (2004)
https://doi.org/10.1016/j.cam.2003.04.008

Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation

Florin Radu, Iuliu Sorin Pop and Peter Knabner
SIAM Journal on Numerical Analysis 42 (4) 1452 (2004)
https://doi.org/10.1137/S0036142902405229

Analysis and Simulation of Multifield Problems

Iuliu Sorin Pop
Lecture Notes in Applied and Computational Mechanics, Analysis and Simulation of Multifield Problems 12 171 (2003)
https://doi.org/10.1007/978-3-540-36527-3_18

Solution of degenerate parabolic variational inequalities with convection

Jozef Kacur and Roger Van Keer
ESAIM: Mathematical Modelling and Numerical Analysis 37 (3) 417 (2003)
https://doi.org/10.1051/m2an:2003035

Numerical approximation of a flow and transport system in unsaturated–saturated porous media

Jozef Kačur and Roger Van Keer
Chemical Engineering Science 58 (21) 4805 (2003)
https://doi.org/10.1016/j.ces.2002.12.002

Solution of solute transport in unsaturated porous media by the method of characteristics

Jozef Kačur and Mohammed Shuker Mahmood
Numerical Methods for Partial Differential Equations 19 (6) 732 (2003)
https://doi.org/10.1002/num.10070

A Robust and Efficient Linearization Scheme for Doubly Nonlinear and Degenerate Parabolic Problems Arising in Flow in Porous Media

Marián Slodicka
SIAM Journal on Scientific Computing 23 (5) 1593 (2002)
https://doi.org/10.1137/S1064827500381860

Numerical analysis of nonlinear elliptic-parabolic equations

Emmanuel Maitre
ESAIM: Mathematical Modelling and Numerical Analysis 36 (1) 143 (2002)
https://doi.org/10.1051/m2an:2002006

Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition

Marian Slodička
ESAIM: Mathematical Modelling and Numerical Analysis 35 (4) 691 (2001)
https://doi.org/10.1051/m2an:2001132

An implicit scheme to solve a system of ODEs arising from the space discretization of nonlinear diffusion equations

Éric Boillat
ESAIM: Mathematical Modelling and Numerical Analysis 35 (4) 749 (2001)
https://doi.org/10.1051/m2an:2001134

Solution of contaminant transport with adsorption in porous media by the method of characteristics

Jozef Kacur and Roger Van Keer
ESAIM: Mathematical Modelling and Numerical Analysis 35 (5) 981 (2001)
https://doi.org/10.1051/m2an:2001146