A Mixed Formulation of the Monge-Kantorovich Equations
ESAIM: M2AN, 41 6 (2007) 1041-1060
Published online: 2007-12-15
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):
(2025)
https://doi.org/10.2139/ssrn.5219047
A granular model for crowd motion and pedestrian flow
Noureddine Igbida and José Miguel UrbanoJournal of the London Mathematical Society 111 (5) (2025)
https://doi.org/10.1112/jlms.70184
Optimal Design of Plane Elastic Membranes Using the Convexified Föppl’s Model
Karol BołbotowskiApplied Mathematics & Optimization 90 (1) (2024)
https://doi.org/10.1007/s00245-024-10143-4
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods
Sören BartelsComputers & Mathematics with Applications 93 214 (2021)
https://doi.org/10.1016/j.camwa.2021.04.014
Numerical Solution of Monge–Kantorovich Equations via a Dynamic Formulation
Enrico Facca, Sara Daneri, Franco Cardin and Mario PuttiJournal of Scientific Computing 82 (3) (2020)
https://doi.org/10.1007/s10915-020-01170-8
The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation
Luca Dieci and J.D. Walsh IIIJournal of Computational and Applied Mathematics 353 318 (2019)
https://doi.org/10.1016/j.cam.2018.12.034
A numerical solution to Monge’s problem with a Finsler distance as cost
Jean-David Benamou, Guillaume Carlier and Roméo HatchiESAIM: Mathematical Modelling and Numerical Analysis 52 (6) 2133 (2018)
https://doi.org/10.1051/m2an/2016077
On a Dual Formulation for Growing Sandpile Problem with Mixed Boundary Conditions
N. Igbida, F. Karami, S. Ouaro and U. TraoréApplied Mathematics & Optimization 78 (2) 329 (2018)
https://doi.org/10.1007/s00245-017-9408-2
Towards a Stationary Monge--Kantorovich Dynamics: The Physarum Polycephalum Experience
Enrico Facca, Franco Cardin and Mario PuttiSIAM Journal on Applied Mathematics 78 (2) 651 (2018)
https://doi.org/10.1137/16M1098383
Adaptive approximation of the Monge–Kantorovich problemviaprimal-dual gap estimates
Sören Bartels and Patrick SchönESAIM: Mathematical Modelling and Numerical Analysis 51 (6) 2237 (2017)
https://doi.org/10.1051/m2an/2017054
Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations
Jean-David Benamou and Guillaume CarlierJournal of Optimization Theory and Applications 167 (1) 1 (2015)
https://doi.org/10.1007/s10957-015-0725-9
Discrete collapsing sandpile model
Noureddine Igbida, Fahd Karami and Thi Nguyet Nga TaNonlinear Analysis: Theory, Methods & Applications 99 177 (2014)
https://doi.org/10.1016/j.na.2013.11.015
A quasi-variational inequality problem arising in the modeling of growing sandpiles
John W. Barrett and Leonid PrigozhinESAIM: Mathematical Modelling and Numerical Analysis 47 (4) 1133 (2013)
https://doi.org/10.1051/m2an/2012062
Iterative Scheme for Solving Optimal Transportation Problems Arising in Reflector Design
Tilmann Glimm and Nick HenscheidISRN Applied Mathematics 2013 1 (2013)
https://doi.org/10.1155/2013/635263
Evolution Monge–Kantorovich equation
Noureddine IgbidaJournal of Differential Equations 255 (7) 1383 (2013)
https://doi.org/10.1016/j.jde.2013.04.020
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations
Xiaobing Feng, Roland Glowinski and Michael NeilanSIAM Review 55 (2) 205 (2013)
https://doi.org/10.1137/110825960
A Numerical Method for the Elliptic Monge--Ampère Equation with Transport Boundary Conditions
Brittany D. FroeseSIAM Journal on Scientific Computing 34 (3) A1432 (2012)
https://doi.org/10.1137/110822372
A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY
JOHN W. BARRETT and LEONID PRIGOZHINMathematical Models and Methods in Applied Sciences 20 (05) 679 (2010)
https://doi.org/10.1142/S0218202510004404
Equivalent formulations for Monge–Kantorovich equation
Noureddine IgbidaNonlinear Analysis: Theory, Methods & Applications 71 (9) 3805 (2009)
https://doi.org/10.1016/j.na.2009.02.039
On a dual formulation for the growing sandpile problem
S. DUMONT and N. IGBIDAEuropean Journal of Applied Mathematics 20 (2) 169 (2009)
https://doi.org/10.1017/S0956792508007754