Publications

Livres

  1. C.M. Murea, Stable Numerical Schemes for Fluids, Structures and their Interactions, ISTE Press and Elsevier, 2017.

  2. C.M. Murea, Schémas numériques stables pour fluides, structures et leurs interactions, ISTE Press, 2017.

Habilitation à Diriger des Recherches

Cornel Marius MUREA, Couplage d'équations et résolution numérique des problèmes d'interaction fluide-structure, Habilitation à Diriger des Recherches, Discipline : Mathématiques, le 8 février 2007, Université de Haute-Alsace, Mulhouse, (PDF)

Thèse de Doctorat

Cornel Marius MUREA, Modélisation mathématique et numérique d'un problème tridimensionnel d'interaction entre un fluide incompressible et une structure élastique, Doctorat, Spécialisation : Mathématiques et Applications, Université de Franche-Comté, le 28 juin 1995, Besançon, (PDF)

Articles dans des journaux avec comité de lecture

  1. C.M. Murea, Sur la convergence d'un algorithme pour la résolution découplée d'un système de type Kuhn-Tucker, An. Univ. Bucuresti Mat., 46 (1997), no. 1, pp. 35--40, Zbl 894.65027, (PDF)

  2. C.M. Murea, Dynamic meshes generation using the relaxation method with applications to fluid-structure interaction problems, An. Univ. Bucuresti Mat., 47 (1998), no. 2, pp. 177--186, (PDF)

  3. C.M. Murea, Domain decomposition method for a flow through two porous media, Bull. Math. Soc. Sc. Math. Roumaine, 41 (89), 1998, no. 4, pp. 257--265, ( PDF)

  4. C.M. Murea, Optimization of satellite antenna, An. Univ. Bucuresti Mat., 48 (1999), pp. 207--216, (PDF)

  5. C.M. Murea, J.-M. Crolet, Formulation hybride pour un problème d'interaction fluide structure, Rev. Roumaine Mat. Pure App., 44 (1999), no. 3, pp. 435--445, (PDF)

  6. C.M. Murea, La méthode du lagrangien augmenté pour un problème d'interaction fluide-structure, Rev. Anal. Numér. Théor. Approx., 29 (2002), no. 1, 49--56, (PDF)

  7. Th. Hangan, C. Murea, Elastic helices, Rev. Roumaine Mat. Pure App., 50 (2005), no. 5--6, 641--645, (PDF)

  8. C.M. Murea, The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries, Comput. Math. Appl., 49 (2005) 171--186, (doi:10.1016/j.camwa.2004.11.002) (PDF)

  9. C.M. Murea, C. Vázquez, Sensitivity and approximation of coupled fluid-structure equations by virtual control method, Appl. Math. Optim., 52 (2005), no. 2, 357--371, (DOI:10.1007/s00245-005-0824-3) (PDF)

  10. C.M. Murea, Numerical simulation of a pulsatile flow through a flexible channel, ESAIM: Math. Model. Numer. Anal., 40 (2006), no. 6, 1101—1125, (DOI:10.1051/m2an:2007003) (PDF)

  11. C.M. Murea, G. Hentschel, A Finite Element Method for Growth in Biological Development, Math. Biosci. Eng., 4 (2007), no. 2, 339--353 (PDF)

  12. I. Mbaye, C. Murea, Numerical procedure with analytic derivative for unsteady fluid-structure interaction, Commun. Numer. Meth. Engng., 24 (2008), no. 11, 1257-1275, ( DOI:10.1002/cnm.1031 ) (PDF)

  13. S. Sy, C.M. Murea, A stable time advancing scheme for solving fluid-structure interaction problem at small structural displacements, This is a preprint of an article published in Comput. Meth. Appl. Mech. Eng., 198 (2008), pp. 210-222, ( DOI: 10.1016/j.cma.2008.07.010 ) (PDF)

  14. Th. Hangan, C.M. Murea, T. Sari, Poleni curves on surfaces of constant curvature, Rend. Semin. Mat. Univ. Politec. Torino, 67 (2009), no. 1, 91-107, ( PDF )

  15. C. M. Murea, S. Sy, A fast method for solving fluid-structure interaction problems numerically, Int. J. Numer. Meth. Fluids, 60 (2009), no. 10, 1149-1172, (DOI: 10.1002/fld.1931) (PDF )

  16. C.M. Murea, Arbitrary Lagrangian Eulerian approximation with remeshing for Navier-Stokes equations, Int. J. Numer. Meth. Biomed. Engng. 26 (2010), 1435–1448, ( DOI:10.1002/cnm.1223 ) (PDF )

  17. S. Sy, C.M. Murea, Algorithm for solving fluid-structure interaction problem on a global moving mesh, Coupled Systems Mechanics, An International Journal, 1 (2012), no. 1, pp. 99-113, (PDF)

  18. A. Halanay, C.M. Murea, D. Tiba, Existence and approximation for a steady fluid-structure interaction problem using fictitious domain approach with penalization, Ann. Acad. Rom. Sci. Ser. Math. Appl., 5 (2013), no. 1-2, 120-147 (PDF)

  19. A. Halanay, C.M. Murea, C.A. Safta, Numerical experiment for stabilization of the heat equation by Dirichlet boundary control, Numer. Funct. Anal. Optim., 34 (2013), no. 12, 1317-1327 (PDF)

  20. A. Halanay, C.M. Murea, D. Tiba, Existence of a steady flow of Stokes fluid past a linear elastic structure using fictitious domain, J. Math. Fluid Mech., 18 (2016), no. 2, 397-413 (DOI:10.1007/s00021-015-0247-0) (PDF)

  21. C.M. Murea, D. Tiba, A direct algorithm in free boundary problems, J. Numer. Math., 24 (2016), No. 4, 253-271, (DOI: 10.1515/jnma-2015-0048), (PDF)

  22. C.M. Murea, S. Sy, Updated Lagrangian/Arbitrary Lagrangian Eulerian framework for interaction between a compressible Neo-Hookean structure and an incompressible fluid, Internat. J. Numer. Methods Engrg., 103 (2017) No. 8, 1067-1084, (DOI: 10.1002/nme.5302), (PDF)

  23. O. Yakhlef, C.M. Murea, Numerical procedure for fluid-structure interaction with the structure displacements limited by a rigid obstacle, Applied and Computational Mechanics, 11 (2017) No. 1, 91-104, (DOI: 10.24132/acm.2017.332) (PDF)

  24. C.M. Murea, D. Tiba, Approximation of a simply supporded plate with obstacle, Mathematics and Mechanics of Solids, 23 (2018) No. 3, 348-358, ( DOI: 10.1177/1081286517718228 ) (PDF)

  25. A. Halanay, C.M. Murea, D. Tiba, Extension theorems related to a fluid-structure interaction problem, Bull. Math. Soc. Sci. Math. Roumanie, 61 (2018) 417-437, (PDF)

  26. D. Tiba, C.M. Murea, Optimization of a plate with holes, Comput. Math. Appl., 77 (2019) 11, 3010-3020. ( DOI: 10.1016/j.camwa.2018.08.037), (PDF)

  27. C.M. Murea, Three-dimensional simulation of fluid-structure interaction problems using monolithic semi-implicit algorithm, Fluids, 4 (2019) 94, ( DOI: 10.3390/fluids4020094), (PDF)

  28. C.M. Murea, D. Tiba, Topological optimization via cost penalization, Topological Methods in Nonlinear Analysis, 542 (2019), No 2B, 1023-1050. ( DOI: 10.12775/TMNA.2019.080), (PDF)

  29. C.M. Murea, Stable semi-implicit monolithic scheme for interaction between incompressible neo-Hookean structure and Navier-Stokes fluid, Journal of Mathematical Study, 52 (2019), 448-469. ( DOI: 10.4208/jms.v52n4.19.05), (PDF)

  30. C.M. Murea, D. Tiba, Topological optimization and minimal compliance in linear elasticity, Evolution Equations and Control Theory, 9 (2020), No 4, 1115-1131. ( DOI: 10.3934/eect.2020043), (PDF)

  31. O. Yakhlef, C.M. Murea, Numerical simulation of dynamic fluid-structure interaction with elastic structure-rigid obstacle contact, Fluids, 6 (2021) No. 2, 51. ( DOI: 10.3390/fluids6020051), (PDF)

  32. C.M. Murea, D. Tiba, Implicit parametrizations in shape optimization: boundary observation, Pure and Applied Functional Analysis, 7 (2022), 5, 1835-1856. (PDF)

  33. C.M. Murea, D. Tiba, Topology optimization for the Stokes system, Mathematical Reports, 24(74), 1-2 (2022), 301-317. (PDF)

  34. C.M. Murea, D. Tiba, Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions, Journal of Differential Equations, 321 (2022) 1-39. ( DOI: 10.1016/j.jde.2022.03.007), (PDF)

  35. C.M. Murea, Updated Lagrangian for compressible hyperelastic material with frictionless contact, Appl. Mech. 3, (2022), 533-543. ( DOI: 10.3390/applmech3020031), (PDF)

  36. C.M. Murea, Impact/contact of elastic body on a moving foundation, Ann. Acad. Rom. Sci. Ser. Math. Appl. 15, No. 1-2, (2023), 353-366. (PDF)

  37. A. Halanay, C.M. Murea, D. Tiba, Some properties of the period for certain ordinary differential systems and applications to topology optimization of variational inequalities, Banach Center Publications, (2024), accepted

Articles dans des actes de conférences avec comité de lecture

  1. C.M. Murea, J.-M. Crolet, A stable algorithm for a fluid-structure interaction problem in 3D, in Contact Mechanics II, Computational Techniques, M.H. Aliabadi, C. Alessandri (eds.), pp. 325--332, Computational Mechanics Publications, Southampton, Boston, 1995, (PDF )

  2. C.M. Murea, J.-M. Crolet, Etude d'un problème parabolique avec multiplicateur de Lagrange, Proceedings of the anual meeting of the Romanian Society of Mathematical Sciences 97, pp. 237--242, Bucharest, 1998, (PDF)

  3. C.M. Murea, J.-M. Crolet, Optimal control approach for a flow in unsaturated porous media, dans Computational Methods for Flow and Transport in Porous Media, J.-M. Crolet (ed.), Kluwer Academic Publishers, pp. 107--114, 2000, (PDF)

  4. C.M. Murea, Optimal control approach for the fluid-structure interaction problems, Proceedings of the Fourth European Conference on Elliptic and Parabolic Problems, Rolduc and Gaeta, 2001, J. Bemelmans et al (eds.), World Scientific Publishing Co. Pte. Ltd., 2002, pp. 442--450, (PDF)

  5. C.M. Murea, G. Hentschel, Finite element methods for investigating the moving boundary problem in biological development, Progress in Nonlinear Differential Equations and Their Applications, Vol. 64, 357--371, Birkhauser Verlag, Basel, 2005, (PDF)

  6. C.M. Murea, C. Vazquez, Numerical control of normal velocity by normal stress for interaction between an incompressible fluid and an elastic curved arch, Proceedings (cdrom, ISBN 90-9020970-0) ECCOMAS CFD 2006, September 5-8, 2006, Egmond aan Zee, The Netherlands, (PDF)

  7. S. Sy, C.M. Murea, Algorithm for solving fluid-structure interaction problem numerically: application to cerebral aneurysm, Proceedings of the Fourth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008), cdrom, Belgium, 26-28 May, 2008. ( PDF)

  8. C. M. Murea, A semi-implicit algorithm based on the Augmented Lagrangian Method for fluid-structure interaction, in: K. Kunisch, G. Of, O. Steinbach (eds.) Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007. Springer, 2008, pp. 555-562. ( PDF)

  9. S. Sy, C.M. Murea, Semi-implicit algorithm for fluid-structure interaction in cerebral aneurysm, in: E. Badouel, A. Sbihi, I. Lokpo, (eds.), Proceedings of the 10th Africal Conference on Research in Computer Science and Applied Mathematics, 2010, pp. 349-356 (PDF)

  10. A. Halanay, C.M. Murea, Fixed domain algorithms in shape optimization for stationary Navier-Stokes equations, Modeling and Optimization, D. Hömberg, F. Tröltzsch, (Eds.), Springer, 2013, pp. 378-386. (PDF)

  11. C.M. Murea, A. Halanay, Embedding domain technique for a fluid-structure interaction problem, Modeling and Optimization, D. Hömberg, F. Tröltzsch, (Eds.), Springer, 2013, pp. 358-367. (PDF)

  12. C.M. Murea, D. Tiba, A Penalization Method for the Elliptic Bilateral Obstacle Problem, System Modeling and Optimization, C. Potzsche, C. Heuberger, B. Kaltenbacher, F. Rendl (Eds.), Springer, 2014, pp. 189-198. (PDF)

  13. A. Halanay, C.M. Murea, Steady Fluid-Structure Interaction Using Fictitious Domain, System Modeling and Optimization, C. Potzsche, C. Heuberger, B. Kaltenbacher, F. Rendl (Eds.), Springer, 2014, pp. 128-137. (PDF)

  14. A. Halanay, C.M. Murea, Uniform Estimation of a Constant Issued from a Fluid-Structure Interaction Problem, System Modeling and Optimization, IFIP Advances in Information and Communication Technology, 494, Bociu L., Désidéri J.-A., Habbal A. (Eds.), Springer, 2016, 292-301. (PDF)

  15. C.M. Murea, Monolithic algorithm for dynamic fluid-structure interaction problem, Mathematical Modelling in Solid Mechanics, F. dell Isola et al. (eds.), Advanced Structured Materials 69, Springer Nature Singapore Pte Ltd. 2017, pp 135-146. (PDF)

Rapports de recherche

  1. C.M. Murea, Some numerical methods for three-dimensional fluid structure interaction problem with free boundary, Free Boundary Problems News, No. 12, pp. 31-32, 1996

  2. C.M. Murea, Y. Maday, Existence of an optimal control for a nonlinear fluid-cable interaction problem, Rapport de recherche CEMRACS 96, Interaction fluide-structure, Luminy, 1996, 19 p., (PDF)

  3. C.M. Murea, J.-M. Crolet, Mixed-Hybrid Finite Element for a three-dimensional fluid-structure interaction problem, 2000, 14 p., (PDF)

Pré-publications

  1. C.M. Murea, D. Tiba, Penalization of stationary Navier-Stokes equations and applications, sur arXiv

  2. C.M. Murea, D. Tiba, Topology optimization and boundary observation for clamped plates, sur arXiv