2d simulation of chemotactic bacteria aggregation, 2002. ,
URL : https://hal.archives-ouvertes.fr/inria-00071918
Model for chemotaxis, Journal of Theoretical Biology, vol.30, issue.2, pp.225-234, 1971. ,
DOI : 10.1016/0022-5193(71)90050-6
Collapsing bacterial cylinders, Physical Review E, vol.64, issue.6, 2001. ,
DOI : 10.1103/PhysRevE.64.061904
Diffusion, attraction and collapse, Nonlinearity, vol.12, issue.4, pp.1071-1098, 1999. ,
DOI : 10.1088/0951-7715/12/4/320
Physical Mechanisms for Chemotactic Pattern Formation by Bacteria, Biophysical Journal, vol.74, issue.4, pp.1677-1693, 1998. ,
DOI : 10.1016/S0006-3495(98)77880-4
A model motivated by angiogenesis. C. Rendus Acad ,
Chemotactic collapse for the Keller-Segel model, Journal of Mathematical Biology, vol.35, issue.2, pp.177-194, 1996. ,
DOI : 10.1007/s002850050049
Fractional step methods applied to a chemotaxis model, Journal of Mathematical Biology, vol.41, issue.5, pp.455-475, 2000. ,
DOI : 10.1007/s002850000038
Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. RAIRO-M 2 AN, pp.617-630, 2003. ,
Two-dimensional keller-segel model: Optimal critical mass and qualitative properties of the solutions, Electron. J. Diff. Eqns, issue.44, pp.1-32, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00113519
A Lyapunov function for a two-chemical species version of the chemotaxis model, BIT Numerical Mathematics, vol.64, issue.S1, 2006. ,
DOI : 10.1007/s10543-006-0086-8
Transport equations in biology, Frontiers in Mathematics, 2006. ,
Reaction???diffusion modelling of bacterial colony patterns, Physica A: Statistical Mechanics and its Applications, vol.282, issue.1-2, pp.283-303, 2000. ,
DOI : 10.1016/S0378-4371(00)00085-6
Studies of bacterial branching growth using reaction???diffusion models for colonial development, Physica A: Statistical Mechanics and its Applications, vol.260, issue.3-4, pp.510-554, 1998. ,
DOI : 10.1016/S0378-4371(98)00345-8
Interface Dynamics for Bacterial Colony Formation, Journal of the Physical Society of Japan, vol.66, issue.5, pp.1544-1550, 1997. ,
DOI : 10.1143/JPSJ.66.1544
Numerical simulation of heterojunction structures using mixed finite elements and operator splitting, 10th International Conference on Computing Methods in Applied Sciences and Engineering, pp.271-286, 1992. ,
MIXED FINITE ELEMENT SIMULATION OF HETEROJUNCTION STRUCTURES INCLUDING A BOUNDARY LAYER MODEL FOR THE QUASI???FERMI LEVELS, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.13, issue.4, pp.757-770, 1994. ,
DOI : 10.1108/eb051893
Arclength continuation methods and applications to 2D drift???diffusion semiconductor equations, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.15, issue.4, 1995. ,
DOI : 10.1108/03321649610154203
URL : https://hal.archives-ouvertes.fr/inria-00074132
Analyse mathématique et simulation numérique bidimensionnelle des dispositifs semiconducteursàconducteurs`conducteursà hétérojonctions par l'approché eléments finis mixtes, 1995. ,
Mixed and hybrid finite element methods. Number 15 in Springer series in computational mathematics, 1991. ,
Mathematical aspects of the finite element method, chapter A mixed finite element method for second order elliptic problems. Number 606 in Lectures Notes in Math, 1977. ,
Handbook of Numerical Analysis, 1989. ,
Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics, Number 9 in Studies in Applied Mathematics. SIAM, Philadelphia, 1989. ,
DOI : 10.1137/1.9781611970838
Simulation des modèles energy-transportàtransport`transportà l'aide desélémentsdeséléments finis mixtes, C.R. Acad. Sci. Paris, vol.323, pp.535-541, 1996. ,
Modèles de transport d'´ energie des semi-conducteurs, ´ etudes asymptotiques et résolution par desélémentsdeséléments finis mixtes, 1997. ,
Solving unsymmetric sparse systems of linear equations with PARDISO, Future Generation Computer Systems, vol.20, issue.3, pp.475-487, 2004. ,
DOI : 10.1016/j.future.2003.07.011
Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors, Bit Numerical Mathematics, vol.40, issue.1, pp.158-176, 2000. ,
DOI : 10.1023/A:1022326604210
105 -78153 Le Chesnay Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université -ZAC des Vignes 4, rue Jacques Monod -91893 ORSAY Cedex (France) Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche, pp.93-06902, 2004. ,