Serge Dumont
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Serge Dumont has a total of 15 co-authors. Here are the top co-authors by number of shared publications:
- Olivier Goubet
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80039 Amiens, France
4 shared publications - Louis Dupaigne
LAMFA UMR CNRS 6140 Université Picardie Jules Verne 33, rue St Leu 80039 Amiens France
2 shared publications - Noureddine Igbida
LAMFA, CNRS-UMR 6140, Université de Picardie Jules Verne, 33 rue Saint Leu, 80038 Amiens, France
2 shared publications - Christophe De Luigi
Aix Marseille Université, CNRS, ENSAM, LSIS, UMR 7296, 13397 Marseille, France
1 shared publication Frédéric Lebon
Université de Provence Aix-Marseille 1
1 shared publication- Hassan Al Moatassime
Université Cadi Ayyad, Faculté des Sciences et Techniques, avenue Abdelkrim Khattabi, B.P. 618 Guéliz Marrakech, Morocco
1 shared publication
Latest Publications
- 4 December 2012
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 93 (11) , 1170-1190
On enhanced descent algorithms for solving frictional multicontact problems: application to the discrete element method
- 4 December 2012
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 93 (11) , 1170-1190
On enhanced descent algorithms for solving frictional multicontact problems: application to the discrete element method
- Open Access
On enhanced descend algorithms for solving frictional multi-contact problems : applications to the Discrete Element Method
In this article, we present various numerical methods to solve multi-contact problems within the Non-Smooth Discrete Element Method. The techniques considered to solve the frictional unilateral conditions are based both on the bi-potential theory and the Augmented Lagrangian theory. A new Newton method is developed to improve the classical algorithms.
Open AccessOn enhanced descend algorithms for solving frictional multi-contact problems : applications to the Discrete Element Method
In this article, we present various numerical methods to solve multi-contact problems within the Non-Smooth Discrete Element Method. The techniques considered to solve the frictional unilateral conditions are based both on the bi-potential theory and the Augmented Lagrangian theory. A new Newton method is developed to improve the classical algorithms.
- Open Access
- 1 January 2011
- Published by American Institute of Mathematical Sciences (AIMS) in Communications on Pure and Applied Analysis
- Vol. 10 (2) , 625-638
On the collapsing sandpile problem
We are interested in the modeling of collapsing sandpiles. We use the collapsing model introduced by Evans, Feldman and Gariepy in [13], to provide a description of the phenomena in terms of a composition of projections onto interlocked convex sets around the set of stable sandpiles.
- 1 January 2011
- Published by American Institute of Mathematical Sciences (AIMS) in Communications on Pure and Applied Analysis
- Vol. 10 (2) , 625-638
Open AccessOn the collapsing sandpile problem
We are interested in the modeling of collapsing sandpiles. We use the collapsing model introduced by Evans, Feldman and Gariepy in [13], to provide a description of the phenomena in terms of a composition of projections onto interlocked convex sets around the set of stable sandpiles.
- 1 May 2010
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 234 (1) , 181-191
Numerical solution of the Poisson equation over hypercubes using reduced Chebyshev polynomial bases
- 1 May 2010
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 234 (1) , 181-191
Numerical solution of the Poisson equation over hypercubes using reduced Chebyshev polynomial bases
- 1 January 2010
- Published by River Publishers in European Journal of Computational Mechanics
- Vol. 19 (1-3) , 77-88
Polarization of contact forces in multi-contact systems
Polarisation des efforts dans les systèmes multicontacts Polarization of contact forces in multi-contact systems
- 1 January 2010
- Published by River Publishers in European Journal of Computational Mechanics
- Vol. 19 (1-3) , 77-88
Polarization of contact forces in multi-contact systems
Polarisation des efforts dans les systèmes multicontacts Polarization of contact forces in multi-contact systems
- Open Access
- 1 January 2010
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems
- Vol. 28 (4) , 1473-1492
Decay of solutions toa water wave model with a nonlocal viscous dispersive term
In this article, we investigate a water wave model with a nonlocal viscous term $ u_t+u_x+\beta $uxxx$+\frac{\sqrt{\nu}}{\sqrt{\pi}}\int_0^t \frac{u_t(s)}{\sqrt{t-s}}ds+$uux$=\nu $uxx$. $ The wellposedness of the equation and the decay rate of solutions are investigated theoretically and numerically.- 1 January 2010
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems
- Vol. 28 (4) , 1473-1492
Open AccessDecay of solutions toa water wave model with a nonlocal viscous dispersive term
In this article, we investigate a water wave model with a nonlocal viscous term $ u_t+u_x+\beta $uxxx$+\frac{\sqrt{\nu}}{\sqrt{\pi}}\int_0^t \frac{u_t(s)}{\sqrt{t-s}}ds+$uux$=\nu $uxx$. $ The wellposedness of the equation and the decay rate of solutions are investigated theoretically and numerically. - 1 April 2009
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 20 (2) , 169-185
On a dual formulation for the growing sandpile problem
In this paper, we are interested in the mathematical and numerical study of the Prigozhin model for a growing sandpile. Based on implicit Euler discretization in time, we give a simple improvement of theoretical and numerical analyses of the dual formulation for the problem. By using this model, we also give some application to the Monge–Kantorovich problem for optimal mass transportation.
- 1 April 2009
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 20 (2) , 169-185
On a dual formulation for the growing sandpile problem
In this paper, we are interested in the mathematical and numerical study of the Prigozhin model for a growing sandpile. Based on implicit Euler discretization in time, we give a simple improvement of theoretical and numerical analyses of the dual formulation for the problem. By using this model, we also give some application to the Monge–Kantorovich problem for optimal mass transportation.
- 3 April 2008
- Published by Springer Nature in Computational Mechanics
- Vol. 42 (5) , 775-786
Effective properties of linear random materials: application to Al/SiC and resin/glass composites
- 3 April 2008
- Published by Springer Nature in Computational Mechanics
- Vol. 42 (5) , 775-786
Effective properties of linear random materials: application to Al/SiC and resin/glass composites
- Open Access
- 1 January 2008
- Published by American Institute of Mathematical Sciences (AIMS) in Communications on Pure and Applied Analysis
- Vol. 7 (2) , 211-227
Discrete Schrödinger equations and dissipative dynamical systems
We introduce a Crank-Nicolson scheme to study numerically the long-time behavior of solutions to a one dimensional damped forced nonlinear Schrödinger equation. We prove the existence of a smooth global attractor for these discretized equations. We also provide some numerical evidences of this asymptotical smoothing effect.
- 1 January 2008
- Published by American Institute of Mathematical Sciences (AIMS) in Communications on Pure and Applied Analysis
- Vol. 7 (2) , 211-227
Open AccessDiscrete Schrödinger equations and dissipative dynamical systems
We introduce a Crank-Nicolson scheme to study numerically the long-time behavior of solutions to a one dimensional damped forced nonlinear Schrödinger equation. We prove the existence of a smooth global attractor for these discretized equations. We also provide some numerical evidences of this asymptotical smoothing effect.
- 1 May 2007
- Published by Walter de Gruyter GmbH in Advanced Nonlinear Studies
- Vol. 7 (2) , 271-298
Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
This article is concerned with the existence, uniqueness and numerical approximation of boundary blow up solutions for elliptic PDE’s Δu = f(u), where f satisfies the so-called Keller-Osserman condition. We characterize existence of such solutions for non-monotone f. As an example, we construct an infinite family of boundary blow up solutions for the equation Δu = u 2 (1 + cos u) on a ball. We prove uniqueness (on balls) when f is increasing and convex in a neighborhood of infinity and we discuss and perform some numerical computations to approximate such boundary blow-up solutions.
- 1 May 2007
- Published by Walter de Gruyter GmbH in Advanced Nonlinear Studies
- Vol. 7 (2) , 271-298
Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
This article is concerned with the existence, uniqueness and numerical approximation of boundary blow up solutions for elliptic PDE’s Δu = f(u), where f satisfies the so-called Keller-Osserman condition. We characterize existence of such solutions for non-monotone f. As an example, we construct an infinite family of boundary blow up solutions for the equation Δu = u 2 (1 + cos u) on a ball. We prove uniqueness (on balls) when f is increasing and convex in a neighborhood of infinity and we discuss and perform some numerical computations to approximate such boundary blow-up solutions.