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Publications
 

  1. A. Caboussat, R. Glowinski, D. C. Sorensen. On the least-squares solution of the Dirichlet problem for the elliptic Monge-Ampere equation in dimension two, submitted, 2011.
  2. A. Caboussat, L. Kiss, J. Rappaz, K. Vekony, A. Perron, S. Renaudier, O. Martin. Large Gas Bubbles under the Anodes of Aluminum Electrolysis Cells, submitted, 2010.
  3. A. Caboussat, P. Clausen, J. Rappaz. Numerical Simulation of Two-Phase Flow with Interface Tracking by Adaptive Eulerian Grid Subdivision, submitted, 2010.

    4.  
  4. A. Caboussat, G. Jouvet, M. Picasso, J. Rappaz. Numerical Algorithms for Free Surface Flow, to appear in Book 'Computational Fluid Dynamics', 2010.
  5. A. Caboussat. Mathematical Modeling of Atmospheric Flow and Numerical Computation of Convex Envelopes, to appear, Math. Model. Nat. Phenom., DOI: 10.1051/mmnp/20116401, 2011.

    6.  
  6. A. Caboussat. Primal-Dual Interior-Point Method for Thermodynamic Gas-Particle Partitioning, Comp. Optim. and Appl., 48(3), 717--745, 2011. (DOI: 10.1007/s10589-009-9262-5)
  7. A. Caboussat, R. Glowinski, A. Leonard. Looking for the Best Constant in a Sobolev Inequality : A Numerical Approach , Calcolo, 47(4), 211--238, 2010.
  8. A. Caboussat, C. Landry, J. Rappaz. Optimization Problem Coupled with Differential Equations: A Numerical Algorithm mixing an Interior-Point Method and Event Detection, J. Optim. Theory. Appl. 147(1), 141--156, 2010.
  9. A. Caboussat, R. Glowinski. Numerical Methods for the Vector-Valued Solutions of Non-Smooth Eigenvalue Problems, J. Sci. Comp., 45(1-3), 64--89, 2010.
  10. A. Caboussat, R. Glowinski, A. Leonard. Looking for the Best Constant in a Sobolev Inequality : A Numerical Approach , Calcolo, 47(4), 211--238, 2010. [pdf]
  11. A. Caboussat, C. Landry, J. Rappaz. Optimization Problem Coupled with Differential Equations: A Numerical Algorithm mixing an Interior-Point Method and Event Detection, J. Optim. Theory. Appl. 147(1), 147(1), 141--156, 2010.
  12. A. Caboussat. Primal-Dual Interior-Point Method for Thermodynamic Gas-Particle Partitioning, to appear in Comp. Optim. and Appl., 2009. [pdf]
  13. A. Caboussat, J. Rappaz. Numerical Simulation of Bubbles under an Inclined Plane: Application to Aluminum Electrolysis , EPFL-MATHICSE technical report number 03.2010, 2010. [pdf]
  14. A. Caboussat, R. Glowinski. Numerical solution of a variational problem arising in stress analysis: the vector case, Discrete and Continuous Dynamical Systems, Series A, 27(4), 1447--1472, 2010. [pdf]
  15. A. Caboussat, G. K. Miers. Numerical Approximation of Electromagnetic Signals Arising in the Evaluation of Geological Formations, Computers and Mathematics with Applications, 58, 338--351, 2010. [pdf]
  16. K. Nguyen, A. Caboussat, D. Dabdub. Mass Conservative, Positive Definite Integrator for Atmospheric Chemical Dynamics, Atmospheric Environment, 43(40), 6287--6295, 2009. [pdf]
  17. A. Caboussat, A. Leonard. Numerical Solution and Fast-Slow Decomposition of a Population of Weakly Coupled Systems, DCDS Supplements, 2009(Special), 123--132, 2009. Proceedings of the 7th AIMS conference, Arlington, Texas, May 2008. [pdf]
  18. C. Landry, A. Caboussat, E. Hairer. Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry, SIAM J. Sci. Comp., 31(5), 3806--3826, 2009. [pdf]
  19. A. Caboussat, R. Glowinski, V. Pons. An Augmented Lagrangian Approach to the Numerical Solution of a Non-Smooth Eigenvalue Problem, J. Numer. Math., 17(1), 3--26, 2009. [pdf]
  20. A. Caboussat, R. Glowinski. Numerical Solution of a Non-Smooth Variational Problem Arising in Stress Analysis : The Scalar Case, Int. J. Numerical Analysis and Modeling 6(3), 402--419, 2009. [pdf]
  21. A. Caboussat, R. Glowinski, V. Pons. Numerical Methods for Non-Smooth L1 Optimization : Applications to Free Surface Flows and Image Denoising, Int. J. Numerical Analysis and Modeling 6(3), 355--374, 2009. [pdf]
  22. A. Caboussat, R. Glowinski. A Numerical Method for a Non-Smooth Advection-Diffusion Problem Arising in Sand Mechanics, Com. Pure. Appl. Anal 8(1), 161--178, 2009. [pdf]
  23. A. Caboussat, C. Landry. A second order scheme for solving optimization-constrained differential equations with discontinuities, in Numerical Mathematics and Advanced Applications, pages 761--768, Springer Verlag, Berlin, 2008. Proceedings of Enumath 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007. [pdf]
  24. A. Caboussat, M. M. Francois, R. Glowinski, D. B. Kothe, J. M. Sicilian. A Numerical Method for Interface Reconstruction of Triple Points within a Volume Tracking Algorithm, Los Alamos National Laboratory technical report LA-UR-07-7960, Mathematical and Computer Modelling, 48, pages 1957--1971, 2008. [pdf]
  25. A. Bonito, A. Caboussat, M. Picasso and J. Rappaz. A Numerical Method for Fluid Flows with Complex Free Surfaces, in Partial Differential Equations: Modeling and Simulation, pages 187--208, R. Glowinski and P. Neittaanmaki eds., Springer, 2008. [pdf]
  26. A. Caboussat, R. Glowinski. Modeling and Computation of the Shape of a Compressed Axisymmetric Gas Bubble, J. Numer. Math., 16(2), pages 107--117, 2008.
  27. A. Caboussat, C. Landry. Dynamic Optimization and Event Location in Atmospheric Chemistry , Proc. Appl. Math. Mech. (PAMM), 7(1), pages 2020035-2020036, 2007. Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07). [pdf]
  28. A. Caboussat, A. Leonard. Numerical Method for a Dynamic Optimization Problem arising in the Modeling of a Population of Aerosol Particles, C. R. Acad. Sci. Paris, 346(11-12), pages 677--680, 2008. [pdf]
  29. N. R. Amundson, A. Caboussat, J. W. He, A. V. Martynenko, C. Landry, C. Tong, and J. Seinfeld. A new atmospheric aerosol phase equilibrium model (UHAERO): organic systems, Atmos. Chem. Phys., 7, pages 4675--4698, 2007. [pdf]
  30. N. R. Amundson, A. Caboussat, J. W. He, A. V. Martynenko, C. Landry, C. Tong, and J. Seinfeld. A new atmospheric aerosol phase equilibrium model (UHAERO): organic systems, Atmos. Chem. Phys. Discuss., 7, pages 8709--8754, 2007. [pdf]
  31. N.R. Amundson, A. Caboussat, J.W. He, A.V. Martynenko, and J.H. Seinfeld. A phase equilibrium model for atmospheric aerosols containing inorganic electrolytes and organic compounds (UHAERO), with application to dicarboxylic acids, J. Geophysical Research, 112, D24S13, 2007. [pdf]
  32. N. R. Amundson, A. Caboussat, J.W. He, C. Landry and J. H. Seinfeld, A Dynamic Optimization Problem Related to Organic Aerosols, C. R. Acad. Sci., 344(8), pages 519--522, 2007. [pdf]
  33. A. Caboussat and M. Picasso and J. Rappaz, Modeling and Simulation of Liquid-Gas Free Surface Flows, in Free and Moving Boundaries, Analysis Simulation and Control, Lecture Notes in Pure and Applied Mathematics, Volume 252. Chapman and Hall/CRC, 2007. [pdf]
  34. N.G. Andronova, S. Sherwood, R. Fu, I. Folkins, K. Rosenlof, M. Joshi, A. Caboussat, A. and A. Stenke. A note on an AGU spring meeting discussion of the role of atmospheric water vapor in climate and atmospheric composition, The SPARC Newsletter, 28, pages 22--26, Available at http://www.atmosp.physics.utoronto.ca/SPARC/.
  35. A. Caboussat, R. Glowinski, and J. M. Sicilian, Computation of the Normal Vector to a Free Surface by a Finite Element - Finite Volume Mixed Method, C. R. Acad. Sci., 343, pages 431--436, 2006.
  36. N. R. Amundson, A. Caboussat, J.-W. He, A.V. Martynenko, V.B. Savarin, J.H. Seinfeld, K.-Y. Yoo, A new inorganic atmospheric aerosol phase equilibrium model (UHAERO), Atmos. Chem. Phys., 6, pages 975--992, 2006. [pdf]
  37. N. R. Amundson, A. Caboussat, J.-W. He, A.V. Martynenko, V.B. Savarin, J.H. Seinfeld, K.-Y. Yoo, A computationally efficient inorganic atmospheric aerosol phase equilibrium model (UHAERO) , Atmos. Chem. Phys. Discuss, 5 , pages 9291--9324, 2005. [pdf]
  38. N. R. Amundson and A. Caboussat and J.-W. He and J. H. Seinfeld, A Primal-Dual Interior-Point Method for an Optimization Problem Related to the Modeling of Atmospheric Organic Aerosols, J. Optim., Theory and Appl., 130(3), 375--407, 2006. [pdf]
  39. A. Caboussat, A Numerical Method for the Simulation of Free Surface Flows with Surface Tension, Computers and Fluids, 35(10), pages 1205--1216, 2006. [pdf]
  40. N. R. Amundson and A. Caboussat and J.-W. He and J. Seinfeld and K.-Y. Yoo, A Primal-Dual Active Set Algorithm for Chemical Equilibrium Problems Related to Modeling of Atmospheric Inorganic Aerosols, J. Optim., Theory and Appl., 128(3), 469--498, 2006. [pdf]
  41. A. Caboussat and R. Glowinski, A Two-Grids/Projection Algorithm for Obstacle Problems, Computers and Mathematics with Applications, 50, pages 171-178, 2005. [pdf]
  42. A. Caboussat and J. Rappaz, Analysis of a One-Dimensional Free Surface Flow Problem, Numer. Math., 101(1), pages 67--86, 2005. [pdf]
  43. A. Caboussat, Numerical Simulation of Two-Phase Free Surface Flows, Archives of Computational Methods in Engineering, 12(2), pages 165--210, 2005. [pdf]
  44. N. R. Amundson and A. Caboussat and J.-W. He and J. Seinfeld, An Optimization Problem related to the Modeling of Atmospheric Organic Aerosols, C. R. Acad. Sci., 340(10), pages 765--768, 2005. [pdf]
  45. N. R. Amundson and A. Caboussat and J.-W. He and J. Seinfeld and K.-Y. Yoo, An Optimization Problem related to the Modeling of Atmospheric Inorganic Aerosols, C. R. Acad. Sci., 340(9), pages 683--686, 2005. [pdf]
  46. A. Caboussat and M. Picasso and J. Rappaz, Numerical Simulation of Free Surface Incompressible Liquid Flows Surrounded by Compressible Gas, J. Comput. Phys., 203(2), pages 626--649, 2005. [pdf]
  47. A. Caboussat and R. Glowinski, On the Use of a Two-Grids Method in the Numerical Simulation of Free Boundary Problems, Proceedings of the LACSI symposium, October 2004. CD-ROM of the symposium, 2004. Also available at http://lacsi.rice.edu. [pdf]
  48. A. Caboussat, Analysis and Numerical Simulation of Free Surface Flows, PhD Thesis number 2893, Ecole Polytechnique Fédérale de Lausanne, December 2003. Also available at http://library.epfl.ch/theses.
  49. A. Caboussat and V. Maronnier and M. Picasso and J. Rappaz, Numerical Simulation of Three Dimensional Free Surface Flows with Bubbles, Lecture Notes in Computational Science and Engineering, Springer-Verlag series, 35, pages 69--86, 2003. [pdf]
Only the preprints may be downloaded from this website. For original articles, please refer to the website of the journal.






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Alexandre Caboussat,   University of Houston    ---    Last modified:  April 04 2011 - 03:22:26

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