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Cristian Barbarosie concluiu o Doutoramento em Matemática em 2002 pela Universidade de Lisboa Faculdade de Ciências, Mestrado em Matemática em 1997 pela Universidade de Lisboa Faculdade de Ciências e Licenciatura em Matemática em 1994 pela Universidade de Lisboa Faculdade de Ciências. É Professor Auxiliar na Universidade de Lisboa Faculdade de Ciências. Publicou 20 artigos em revistas especializadas. Recebeu 1 prémio. Atua na(s) área(s) de Ciências Exatas com ênfase em Matemática. No seu currículo Ciência Vitae os termos mais frequentes na contextualização da produção científica, tecnológica e artístico-cultural são: Constrained minimization; Worst case design; Minimax problems; Active set strategy; Métodos de gradiente; Optimização matemática; Homogeneização; Convergência; Análise numérica; Mecânica dos meios contínuos; Inverse problems; Shape optimization; Eigenvalue problems; Linear elasticity; Adjoint method; Computational Solid Mechanics; Optimization of Structures; Linear Elasticity; Stiff Structures.
Identification

Personal identification

Full name
Cristian Barbarosie

Citation names

  • Barbarosie, Cristian

Author identifiers

Ciência ID
F71F-6907-5FAD
ORCID iD
0000-0002-9144-7750

Email addresses

  • cabarbarosie@fc.ul.pt (Professional)
  • cristian.barbarosie@gmail.com (Personal)

Addresses

  • Faculdade de Ciências da Universidade de Lisboa, Campo Grande, 1749-016, Lisboa, Lisboa, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics
  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Romanian (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Portuguese Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
French Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2)
Education
Degree Classification
2002
Concluded
Matemática (Doutoramento)
Universidade de Lisboa Faculdade de Ciências, Portugal
"Análise assimptótica e optimização em mecânica dos meios contínuos" (THESIS/DISSERTATION)
aprovado
1997
Concluded
Matemática (Mestrado)
Universidade de Lisboa Faculdade de Ciências, Portugal
"Optimização de estruturas não periódicas" (THESIS/DISSERTATION)
Muito Bom
1994
Concluded
Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
19/20
Affiliation

Teaching in Higher Education

Category
Host institution
Employer
2002 - Current Assistant Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
1997 - 2002 Assistant (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
1995 - 1997 Trainee Assistant (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Projects

Contract

Designation Funders
2002 - Current New Materials, Adaptative Systems and their Nonlinearities : Modeling, Control and Numerical Simulation
HPRN-CT-2002-00284
Researcher
Concluded
2001 - Current Stability of quasi-static paths and singular perturbation problems
POCTI/MAT/40867/2001
Researcher
Concluded
2019/01/01 - 2019/12/31 UID/MAT/04561/2019
UID/MAT/04561/2019
Researcher
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2015/01/01 - 2018/12/31 UID/MAT/04561/2013
UID/MAT/04561/2013
Researcher
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/01/01 - 2014/12/31 PEstOE/MAT/UI0209/2013
PEstOE/MAT/UI0209/2013
Researcher
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 297 - 2011-2012
PEst-OE/MAT/UI0297/2011
Universidade Nova de Lisboa NOVAMath, Portugal

Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 PEst-OE/MAT/UI0209/2011
PEst-OE/MAT/UI0209/2011
Researcher
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 209 - 2011-2012
PEst-OE/MAT/UI0209/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2004 - 2007 Análise Assimptótica Aplicada à Mecânica dos Meios Contínuos
POCI/MAT/60587/2004
Researcher
Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2002 - 2004 Métodos numéricos e analíticos na optimização de forma
GRICES/CNRS 2003-2004
Researcher
Concluded
Outputs

Publications

Book chapter
  1. Barbarosie, Cristian; Lopes, Sérgio; Toader, Anca-Maria. "An Algorithm for Constrained Optimization with Applications to the Design of Mechanical Structures". In EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization, 272-284. Springer International Publishing, 2019.
    Published • 10.1007/978-3-319-97773-7_25
  2. Toader, Anca-Maria; Barbarosie, Cristian. "6. Optimization of eigenvalues and eigenmodes by using the adjoint method". In Topological Optimization and Optimal Transport. De Gruyter, 2017.
    10.1515/9783110430417-006
Conference paper
  1. Barbarosie, Cristian; Lopes, Sérgio; Toader, Anca-Maria. "An algorithm for constrained optimization with applications to the design of mechanical structures". 2018.
    https://doi.org/10.1007/978-3-319-97773-7_25
  2. Barbarosie, Cristian. "Properties of the cost functional in free material design". Paper presented in EngOpt 2012 - International Conference on Engineering Optimization, Rio de Janeiro, 2012.
    Published
  3. Barbarosie, Cristian. "Properties of the cost functional in free material design". Paper presented in Congresso de Métodos Numéricos em Engenharia, Coimbra, 2011.
    Published
  4. Barbarosie, Cristian; A.-M. Toader. "Multi-objective optimization applied to the design of composite materials". Paper presented in Congresso de Métodos Numéricos em Engenharia, Coimbra, 2011.
    Published
  5. Barbarosie, Cristian; A.-M. Toader; Lopes, Sérgio. "Optimization of a tube bundle immersed in a fluid". Paper presented in 2nd International Conference on Engineering Optimization, Lisboa, 2010.
    Published
  6. Barbarosie, Cristian. "Optimization of a tube bundle immersed in a fluid". Paris, 2010.
    Published
  7. Barbarosie, Cristian. "Numerical approach to the inverse homogenization problem". Paper presented in International Conference on Differential Equations, Berlim, 1999.
Journal article
  1. Barbarosie, Cristian; Toader, Anca-Maria. "Stress formulation and duality approach in periodic homogenization". Discrete and Continuous Dynamical Systems - B 0 0 (2024): 0-0. http://dx.doi.org/10.3934/dcdsb.2024004.
    In press • 10.3934/dcdsb.2024004
  2. Barbarosie, Cristian; Toader, Anca-Maria; Lopes, Sérgio. "A gradient-type algorithm for constrained optimization with application to microstructure optimization". Discrete & Continuous Dynamical Systems - B 25 5 (2020): 1729-1755. http://dx.doi.org/10.3934/dcdsb.2019249.
    Published • 10.3934/dcdsb.2019249
  3. Antunes, P.R.S.; Barbarosie, C.; Toader, A.-M.. "Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes". Journal of Computational Physics 333 (2017): 352-368. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008384541&partnerID=MN8TOARS.
    10.1016/j.jcp.2016.12.044
  4. Barbarosie, C.; Tortorelli, D.A.; Watts, S.. "On domain symmetry and its use in homogenization". Computer Methods in Applied Mechanics and Engineering 320 (2017): 1-45. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016992040&partnerID=MN8TOARS.
    10.1016/j.cma.2017.01.009
  5. Barbarosie, Cristian; Toader, Anca-Maria; Lopes, Sérgio. "A gradient-type algorithm for constrained optimization with application to microstructure optimization". Discrete & Continuous Dynamical Systems - B 25 5 (2017): 1729-1755. http://dx.doi.org/10.3934/dcdsb.2019249.
    Published • 10.3934/dcdsb.2019249
  6. Barbarosie, C.; Toader, A.-M.. "Optimization of bodies with locally periodic microstructure by varying the periodicity pattern". Networks and Heterogeneous Media 9 3 (2014): 433-451. http://www.scopus.com/inward/record.url?eid=2-s2.0-84907709130&partnerID=MN8TOARS.
    10.3934/nhm.2014.9.433
  7. Barbarosie, C.; Toader, A.-M.. "Optimization of bodies with locally periodic microstructure". Mechanics of Advanced Materials and Structures 19 4 (2012): 290-301. http://www.scopus.com/inward/record.url?eid=2-s2.0-84859717364&partnerID=MN8TOARS.
    10.1080/15376494.2011.642939
  8. Barbarosie, C.; Lopes, S.. "A generalized notion of compliance". Comptes Rendus - Mecanique 339 10 (2011): 641-648. http://www.scopus.com/inward/record.url?eid=2-s2.0-80053179607&partnerID=MN8TOARS.
    10.1016/j.crme.2011.07.002
  9. Barbarosie, C.. "Representation of divergence-free vector fields". Quarterly of Applied Mathematics 69 2 (2011): 309-316. http://www.scopus.com/inward/record.url?eid=2-s2.0-79960851186&partnerID=MN8TOARS.
  10. Barbarosie, C.; Toader, A.-M.. "Shape and topology optimization for periodic problems: Part II: Optimization algorithm and numerical examples". Structural and Multidisciplinary Optimization 40 1-6 (2010): 393-408. http://www.scopus.com/inward/record.url?eid=2-s2.0-72149099334&partnerID=MN8TOARS.
    10.1007/s00158-009-0377-1
  11. Barbarosie, C.; Toader, A.-M.. "Shape and topology optimization for periodic problems: Part I: The shape and the topological derivative". Structural and Multidisciplinary Optimization 40 1-6 (2010): 381-391. http://www.scopus.com/inward/record.url?eid=2-s2.0-72149094853&partnerID=MN8TOARS.
    10.1007/s00158-009-0378-0
  12. Barbarosie, C.; Toader, A.-M.. "Saint-Venant's principle and its connections to shape and topology optimization". ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 88 1 (2008): 23-32. http://www.scopus.com/inward/record.url?eid=2-s2.0-38849128856&partnerID=MN8TOARS.
    10.1002/zamm.200710357
  13. Barbarosie, C.; Lopes, S.. "Study of the cost functional for free material design problems". Numerical Functional Analysis and Optimization 29 1-2 (2008): 115-125. http://www.scopus.com/inward/record.url?eid=2-s2.0-40049094872&partnerID=MN8TOARS.
    10.1080/01630560701872540
  14. Barbarosie, Cristian. "Bounds for periodic mixtures of an infinite number of materials". GAKUTO Internat. Ser. Math. Sci. Appl. 24 (2006):
  15. Barbarosie, C.; Toader, A.-M.. "Bounds for non-periodic mixtures of infinitely many materials". Mathematical Methods in the Applied Sciences 28 9 (2005): 1089-1114. http://www.scopus.com/inward/record.url?eid=2-s2.0-19644365891&partnerID=MN8TOARS.
    10.1002/mma.604
  16. Barbarosie, C.; Neves, M.M.. "Periodic structures for frequency filtering: Analysis and optimization". Computers and Structures 82 17-19 (2004): 1399-1403. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042784066&partnerID=MN8TOARS.
    10.1016/j.compstruc.2004.03.035
  17. Barbarosie, C.. "Shape optimization of periodic structures". Computational Mechanics 30 3 (2003): 235-246. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037297324&partnerID=MN8TOARS.
    10.1007/s00466-002-0382-3
  18. Barbarosie, C.. "Bounds for mixtures of an arbitrary number of materials". Mathematical Methods in the Applied Sciences 24 8 (2001): 529-542. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035946929&partnerID=MN8TOARS.
    10.1002/mma.225
  19. Barbarosie, C.. "Extension operators". Mathematische Nachrichten 218 (2000): 5-17. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040735647&partnerID=MN8TOARS.
  20. Barbarosie, C.. "Optimization of perforated domains through homogenization". Structural Optimization 14 4 (1997): 225-231. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031367160&partnerID=MN8TOARS.
  21. Barbaroie, C.. "Reducing the wrapping effect". Computing 54 4 (1995): 347-357. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029221430&partnerID=MN8TOARS.
    10.1007/BF02238232
Preprint
  1. Cristian Barbarosie; Anca-Maria Toader. "Donati representation theorem for periodic functions in relation to homogenization theory". 2022. https://arxiv.org/abs/2209.06801.
    10.48550/ARXIV.2209.06801
  2. Cristian Barbarosie; Anca-Maria Toader. "Stress formulation and duality approach in periodic homogenization". 2022. https://arxiv.org/abs/2209.06921.
    10.48550/ARXIV.2209.06921
Thesis / Dissertation
  1. Lopes, Sérgio, 1976-. "Theoretical and numerical analysis of optimization problems with applications to continuum mechanics". PhD, 2013. http://hdl.handle.net/10451/7836.
  2. Tiago, Jorge Filipe Duarte. "Existence results and applications for some non-linear optimal control problems". PhD, 2009. http://catalogo.ul.pt/F/?func=item-global&doc_library=ULB01&type=03&doc_number=000572996.
Activities

Committee member

Activity description
Role
Institution / Organization
2020/11 - Current comissão executiva do Departamento de Matemática
Member
Universidade de Lisboa Faculdade de Ciências, Portugal
Distinctions

Other distinction

2002 Programa Gulbenkian de Estímulo à Investigação
Fundação Calouste Gulbenkian, Portugal