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Sílvia Barbeiro. She is an Associate Professor at the Department of Mathematics of the University of Coimbra, member of the Numerical Analysis and Optimization group of the Centre for Mathematics of University of Coimbra. She received her PhD degree in Applied Mathematics in 2005 from the University of Coimbra. She was a visiting research fellow at the University of Texas at Austin during the Spring and Fall semesters of 2008, at the Acoustics Research Institute of The Austrian Academy of Sciences during the academic year of 2015/2016 and at the University of Oxford during the trinity term of 2016. Published 29 articles in journals. Has 4 sections of books. Co-supervised 2 PhD thesises. Has received 2 awards and/or honors. Works in the areas of Exact Sciences with emphasis on Mathematics. Her research interests are in numerical analysis and computational mathematics, including modeling and the development and analysis of numerical methods for partial differential equations and integro-differential equations, and machine learning for PDEs. Her research focuses on theory an applications namely problems in biomathematics, engineering, geosciences and medical imaging.
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Identification

Personal identification

Full name
Sílvia Barbeiro

Citation names

  • Barbeiro, Sílvia Alexandra Alves
  • Sílvia Barbeiro
  • S. Barbeiro

Author identifiers

Ciência ID
6410-69EA-9882
ORCID iD
0000-0002-2651-5083

Email addresses

  • silvia@mat.uc.pt (Professional)

Addresses

  • Departamento de Matemática da Universidade de Coimbra. Apartado 3008, EC Santa Cruz, 3001 – 501, Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics
Education
Degree Classification
2008 - 2009
Concluded
 Matemática Computacional (Pós-doutoramento)
Fundação para a Ciência e a Tecnologia, Portugal
2001 - 2005
Concluded
 Doutoramento em Matemática (Doutoramento)
Universidade de Coimbra, Portugal
"Normas Duais Discretas em Problemas Elípticos" (THESIS/DISSERTATION)
 Distinção e Louvor
1997 - 2000
Concluded
 Mestrado em Matemática (Mestrado)
Universidade de Coimbra, Portugal
"Supraconvêrgencia em Métodos de Diferenças Finitas Elípticos" (THESIS/DISSERTATION)
 Muito Bom
1993 - 1997
Concluded
 Licenciatura em Matemática, Especialização em Matemática Aplicada (Licenciatura)
Universidade de Coimbra, Portugal
 17
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2019/09/01 - Current Associate Professor (University Teacher) Universidade de Coimbra, Portugal
Projects

Grant

Designation Funders
2015/04/15 - 2018/04/15 Numerical Analysis of Nonlinear Nonlocal Evolution Problems
MTM2014-54710-P
Researcher
Universidad de Valladolid, Spain

Universidade de Coimbra, Portugal
Concluded

Contract

Designation Funders
2018/12/14 - 2021/12/13 Simulação e Computação eficiente para a Saúde, o Mar e a Indústria
PTDC/MAT-APL/28118/2017
Researcher
Universidade do Minho, Portugal

Universidade de Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2018/10/01 - 2021/09/30 Elastografia de Coerência Óptica para imagiologia das propriedades mecânicas da retina
PTDC/EMD-EMD/32162/2017
Researcher
Universidade Aberta, Portugal

Universidade de Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2016/01 - 2018 Additive.MILLING: add milling to additive manufacturing
PT2020-POCI-SII&DT 3414
Researcher
2012/04/01 - 2015/09/30 Modelação Óptica da Retina Humana na Saúde e na Doença: da estrutura à função.
PTDC/SAU-ENB/119132/2010
Researcher
Universidade de Coimbra, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2009/05/15 - 2013/11/14 Reacção-Diffusão em Meios Porosos
UTAustin/MAT/0066/2008
Researcher
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal

Universidade de Évora, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book chapter
  1. Sílvia Barbeiro. "Scale-Space Properties for Discrete Cross-Diffusion Filtering". 2025.
    10.1007/978-3-031-86173-4_11
  2. Barbeiro, Sílvia; Serranho, Pedro. "The Method of Fundamental Solutions for the Direct Elastography Problem in the Human Retina". In Advances in Trefftz Methods and Their Applications, 87-101. Springer International Publishing, 2020.
    Published • 10.1007/978-3-030-52804-1_5
  3. Araújo, Adérito; Barbeiro, Silvia; Cuesta, Eduardo; Durán, Ángel. "A Discrete Cross-Diffusion Model for Image Restoration". In Progress in Industrial Mathematics at ECMI 2016, 401-408. Springer International Publishing, 2017.
    10.1007/978-3-319-63082-3_63
  4. Araújo, Adérito; Barbeiro, Sílvia; Ghalati, Maryam Khaksar. "Convergence of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell’s Equations in Anisotropic Materials". In Progress in Industrial Mathematics at ECMI 2016, 125-132. Springer International Publishing, 2017.
    10.1007/978-3-319-63082-3_18
  5. Araujo, A.; Barbeiro, S.; Ghalati, M.K.; Araujo, Aderito; Barbeiro, Silvia; Ghalati, Maryam Khaksar. "A discontinuous Galerkin scheme for solving 2D wave propagation in anisotropic materials". In 2015 IEEE 4th Portuguese Meeting on Bioengineering (ENBENG). IEEE, 2015.
    10.1109/ENBENG.2015.7088866
Conference paper
  1. Correia, Carlos; Batista, Ana; Barbeiro, Sílvia; Cardoso, João; Domingues, José P.; Henriques, Rafael; Loureiro, Custódio; et al. "Time-dependent elastic numerical model for Optical Coherence Elastography of the murine retina". 2023.
    10.1109/enbeng58165.2023.10175350
  2. Batista, Ana; Correia, Carlos; Barbeiro, Sílvia; Cardoso, João; Domingues, José Paulo; Henriques, Rafael; Loureiro, Custódio; et al. "Swept-source phase-stabilized optical coherence tomography setup for elastography". 2022.
    10.5220/0011126500003209
  3. Serranho, Pedro; Barbeiro, Sílvia; Henriques, Rafael; Batista, Ana; Santos, Mário; Correia, Carlos; Domingues, José Paulo; et al. "On the numerical solution of the inverse elastography problem for time-harmonic excitation". 2022.
    10.5220/0011125900003209
  4. Araújo, Adérito; Barbeiro, Sílvia; Santos, Milene. "On the Helmholtz's Equation Model for Light Propagation in the Cornea". 2022.
    10.5220/0011126000003209
  5. Barbeiro, Sílvia. "Poroelasticity with Deformation Dependent Permeability". 2018.
    10.1007/978-3-030-27550-1_49
  6. Santos, M.; Araujo, A.; Barbeiro, S.; Caramelo, F.; Correia, A.; Marques, M.I.; Morgado, M.; et al. "Maxwell's equations based 3D model of light scattering in the retina". 2015.
    10.1109/ENBENG.2015.7088869
  7. Santos, M.; Araujo, A.; Barbeiro, S.; Caramelo, F.; Correia, A.; Marques, M.I.; Pinto, L.; et al. "Simulation of cellular changes on Optical Coherence Tomography of human retina". 2015.
    10.1109/EMBC.2015.7320285
  8. Correia, Antonio; Pinto, Luis; Araujo, Aderito; Barbeiro, Silvia; Caramelo, Francisco; Menezes, Paulo; Morgado, Miguel; et al. "Monte Carlo simulation of diabetic macular edema changes on optical coherence tomography data". 2014.
    10.1109/bhi.2014.6864466
  9. Rodrigues, Pedro; Guimarães, Pedro; Araújo, Adérito; Barbeiro, Sílvia; Bernardes, Rui; Serranho, Pedro. "Explicit and Semi-implicit Complex-Diffusion Schemes for Optical Coherence Tomography Despeckling". Paper presented in International Conference Image Analysis and Recognition, 2013.
  10. Araújo, Adérito; Barbeiro, Sílvia; Pinto, Luís; Caramelo, Francisco; Correia, António L.; Morgado, Miguel; Serranho, Pedro; Silva, Ana S.C.; Bernardes, Rui. "Numerical solution of time-dependent Maxwell's equations for modeling scattered electromagnetic wave's propagation". Paper presented in 13th International Conference Computational and mathematical methods in Science and Engineering, 2013.
  11. Serranho, P.; Maduro, C.; Santos, T.; Cunha-Vaz, J.; Bernardes, R.; Araujo, Aderito; Barbeiro, Silvia; et al. "Ocular fundus imaging: From structure to function". 2011.
    10.1109/enbeng.2011.6026080
  12. A. Araújo; Barbeiro, Sílvia Alexandra Alves; J. A. Ferreira. "Laboratory of Computational Mathematics: an interface between academia and industry". Paper presented in EIMI 2010, Lisboa, 2010.
    Published
  13. Barbeiro, Sílvia Alexandra Alves; Filomena Teodoro. "Estimating the price elasticity of water". Paper presented in 69th European Study Group with Industry, Coimbra, 2009.
    Published
  14. Barbeiro, Sílvia Alexandra Alves; J. A. Ferreira. "Elementos finitos lineares: estimativas de erro". Paper presented in VI Congresso de Mecânica Aplicada e Computacional, Aveiro, 2000.
    Published
Journal article
  1. Barbeiro, Sílvia Alexandra Alves ; Henriques, Rafael; José Luis Esteves dos Santos. "The Derivative free trust-region method for the inverse elastography problem". Journal of Mathematics in Industry. Proceedings of the 22nd ECMI Conference on Industrial and Applied Mathematics, Springer (2024):
    Accepted
  2. Milene Santos; Adérito Araújo; Sílvia Barbeiro; Stéphane Clain; Ricardo Costa; Gaspar J. Machado. "Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes". Journal of Scientific Computing (2024): http://dx.doi.org/10.1007/s10915-024-02613-2.
    10.1007/s10915-024-02613-2
  3. Sílvia Barbeiro; Rafael Henriques; José Luis Santos. "A quadratic optimization program for the inverse elastography problem". Journal of Mathematics in Industry (2024): http://dx.doi.org/10.1186/s13362-024-00156-7.
    10.1186/s13362-024-00156-7
  4. Batista, Ana; Serranho, Pedro; Santos, Mário J.; Correia, Carlos; Domingues, José P.; Loureiro, Custódio; Cardoso, João; et al. "Phase-Resolved Optical Coherence Elastography: An Insight into Tissue Displacement Estimation". Sensors 23 8 (2023): 3974. http://dx.doi.org/10.3390/s23083974.
    10.3390/s23083974
  5. Sílvia Barbeiro; Ricardo Enguiça; Diogo Lobo. "Automatic Generation of Conformal Cooling Channels in Injection Moulding". Computer-Aided Design (2022): 103312-103312. https://doi.org/10.1016/j.cad.2022.103312.
    10.1016/j.cad.2022.103312
  6. Araújo, Adérito; Barbeiro, Sílvia Alexandra Alves; Bernardes, Rui Manuel Dias Cortesão dos Santos; Morgado, Miguel; Sakic, Suncica. "A mathematical model for the corneal transparency problem". Journal of Mathematics in Industry (2022): http://hdl.handle.net/10316/100487.
    https://doi.org/10.1186/s13362-022-00125-y
  7. Barbeiro, Sílvia; Lobo, Diogo. "Learning Stable Nonlinear Cross-Diffusion Models for Image Restoration". Journal of Mathematical Imaging and Vision 62 2 (2019): 223-237. http://dx.doi.org/10.1007/s10851-019-00931-x.
    10.1007/s10851-019-00931-x
  8. Barbeiro, Silvia. "Accuracy of a coupled mixed and Galerkin finite element approximation for poroelasticity". Portugaliae Mathematica 75 3 (2019): 249-265. http://dx.doi.org/10.4171/pm/2018.
    10.4171/pm/2018
  9. Araújo, Adérito; Barbeiro, Sílvia; Khaksar Ghalati, Maryam. "Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials". Journal of Mathematics in Industry 8 1 (2018): http://dx.doi.org/10.1186/s13362-018-0051-6.
    10.1186/s13362-018-0051-6
  10. Barbeiro, Sílvia; Bardeji, Somayeh Gh.; Ferreira, José A.; Pinto, Luís; Barbeiro, S.; Bardeji, S.G.; Ferreira, J.A.; Pinto, L.; Ferreira, José Augusto. "Non-Fickian convection–diffusion models in porous media". Numerische Mathematik 138 4 (2017): 869-904. http://dx.doi.org/10.1007/s00211-017-0922-6.
    10.1007/s00211-017-0922-6
  11. Araújo, A.; Barbeiro, S.; Cuesta, E.; Durán, A.. "Cross-Diffusion Systems for Image Processing: II. The Nonlinear Case". Journal of Mathematical Imaging and Vision 58 3 (2017): 427-446. http://dx.doi.org/10.1007/s10851-017-0721-9.
    10.1007/s10851-017-0721-9
  12. Araújo, Adérito; Barbeiro, Sílvia; Cuesta, Eduardo; Durán, Angel. "Cross-Diffusion Systems for Image Processing: I. The Linear Case". Journal of Mathematical Imaging and Vision 58 3 (2017): 447-467. http://hdl.handle.net/10316/44981.
    10.1007/s10851-017-0721-9
  13. Araújo, Adérito; Barbeiro, Sílvia; Ghalati, Maryam Khaksar. "Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials". Communications in Computational Physics (2017): http://hdl.handle.net/10316/44985.
  14. Araújo, A.; Barbeiro, S.; Ghalati, M.K.. "Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials". Communications in Computational Physics 21 5 (2017): 1350-1375. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016229850&partnerID=MN8TOARS.
    10.4208/cicp.OA-2016-0110
  15. Barbeiro, Sílvia. "Higher order finite element methods". CIM Bulletin (2016): http://hdl.handle.net/10316/45067.
    Published
  16. Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro. "Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes". SIAM Journal on Numerical Analysis 53 1 (2015): 228-250. http://hdl.handle.net/10316/44987.
    Published
  17. Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro. "Stability of finite difference schemes for nonlinear complex reaction–diffusion processes". IMA Journal of Numerical Analysis 35 3 (2015): 1381-1401. http://hdl.handle.net/10316/44988.
  18. Barbeiro, S.; Bardeji, S.G.; Ferreira, J.A.; Barbeiro, Sílvia; Bardeji, Somaye Gh.; Ferreira, José Augusto. "Laplace transform - Finite element method for non Fickian flows". Computer Methods in Applied Mechanics and Engineering 261-262 (2013): 16-23. http://www.scopus.com/inward/record.url?eid=2-s2.0-84877803695&partnerID=MN8TOARS.
    10.1016/j.cma.2013.03.019
  19. Ferreira, J.A.; Barbeiro, S.; Pena, G.; Wheeler, M.F.. "Preface". Springer Proceedings in Mathematics and Statistics 28 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84883378059&partnerID=MN8TOARS.
  20. Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro; Araújo, A.; Barbeiro, S.; Serranho, P.; Aráujo, A.. "Stability of finite difference schemes for complex diffusion processes". SIAM Journal on Numerical Analysis 53 1 (2012): 228-250. http://hdl.handle.net/10400.2/2176.
    DOI. 10.1137/130933642
  21. Barbeiro, Sílvia; Wheeler, Mary F.. "A priori error estimates for the numerical solution of a coupled geomechanics and reservoir flow model with stress-dependent permeability". Computational Geosciences 14 4 (2010): 755-768. http://dx.doi.org/10.1007/s10596-010-9186-2.
    10.1007/s10596-010-9186-2
  22. Barbeiro, Sílvia Alexandra Alves; J. A. Ferreira; L. Pinto; Barbeiro, S.; Ferreira, J.A.; Pinto, L.. "H1-second order convergent estimates for non Fickian models". Applied Numerical Mathematics 61 - (2010): 0-0. http://www.scopus.com/inward/record.url?eid=2-s2.0-78649645677&partnerID=MN8TOARS.
    Accepted • 10.1016/j.apnum.2010.09.005
  23. Bernardes, Rui; Maduro, Cristina; Serranho, Pedro; Araújo, Adérito; Barbeiro, Sílvia; Cunha-Vaz, José. "Improved adaptive complex diffusion despeckling filter". Optics Express 18 23 (2010): 24048-24059. http://hdl.handle.net/10400.2/1956.
  24. Barbeiro, Sílvia Alexandra Alves. "Mandel's problem". Boletim da Sociedade Portuguesa de Matemática (2010):
  25. Barbeiro, Sílvia Alexandra Alves; Barbeiro, S.. "Supraconvergent cell-centered scheme for two dimensional elliptic problems". Applied Numerical Mathematics 59 - (2009): 56-72. http://www.scopus.com/inward/record.url?eid=2-s2.0-55149116767&partnerID=MN8TOARS.
    Published • 10.1016/j.apnum.2007.11.021
  26. Barbeiro, Sílvia Alexandra Alves; J. A. Ferreira; Barbeiro, S.; Ferreira, J.A.. "Coupled vehicle-skin models for drug release". Computer Methods in Applied Mechanics and Engineering 198 - (2009): 2078-2086. http://www.scopus.com/inward/record.url?eid=2-s2.0-64749083099&partnerID=MN8TOARS.
    Published • 10.1016/j.cma.2009.02.002
  27. Barbeiro, Sílvia. "Discretely Compact Embeddings of Spaces of Cell-Centered Grid Functions". Numerical Functional Analysis and Optimization 29 5-6 (2008): 491-506. http://dx.doi.org/10.1080/01630560802099092.
    10.1080/01630560802099092
  28. Barbeiro, Sílvia Alexandra Alves; J. A. Ferreira; Barbeiro, S.; Ferreira, J.A.. "Integro-differential models for percutaneous drug absorption". International Journal of Computer Mathematics 84 4 (2007): 451-467. http://www.scopus.com/inward/record.url?eid=2-s2.0-34249099916&partnerID=MN8TOARS.
    Published • 10.1080/00207160701210091
  29. Barbeiro, S.; Ferreira, J. A.; Grigorieff, R. D.. "Supraconvergence of a finite difference scheme for solutions in Hs(0, L)". IMA Journal of Numerical Analysis 25 4 (2005): 797-811. http://dx.doi.org/10.1093/imanum/dri018.
    10.1093/imanum/dri018
  30. Barbeiro, S.; Ferreira, J. A.; Brandts, J.. "Superconvergence of Piecewise Linear Semi-Discretizations for Parabolic Equations with Nonuniform Triangulations". Journal of Mathematical Fluid Mechanics 7 S2 (2005): S192-S214. http://dx.doi.org/10.1007/s00021-005-0153-y.
    10.1007/s00021-005-0153-y
  31. Barbeiro, Sílvia Alexandra Alves ; J. A. Ferreira. "A superconvergent linear FE approximation for the solution of an elliptic system of PDEs". Journal of Computational and Applied Mathematics 177 - (2005): 287-300.
    Published • 10.1016/j.cam.2004.09.020
  32. Barbeiro, S.; Ferreira, J.A.. "A nonstandard linear finite element method for a planar elasticity problem". Applied Numerical Mathematics 37 3 (2001): 331-340. http://dx.doi.org/10.1016/s0168-9274(00)00050-7.
    10.1016/s0168-9274(00)00050-7
Report
  1. Araújo, Adérito; Teodoro, Filomena; Pena, Gonçalo; Correia, Joaquim; Penedones, João; Ferreira, José Augusto; Morgado, Luísa; Barbeiro, Sílvia; Abreu, Stella. 2021. Modelling drying process in paper manufacturing. http://dx.doi.org/10.33774/miir-2021-rkhp9.
    10.33774/miir-2021-rkhp9
  2. Amaral, Paula; Sílvia, Barbeiro; Raquel, Barreira; Luís, Cavique; Joaquim, Correia; Manuel, Cruz; Ricardo, Enguiça; et al. 2018. Report on Managing start waves for mass running events. http://hdl.handle.net/10174/25349.
Thesis / Dissertation
  1. Barbeiro, Sílvia Alexandra Alves. "Normas Duais Discretas em Problemas Elípticos". PhD, 2005. http://hdl.handle.net/10316/1939.
Distinctions

Award

2010 Medalhas de Honra L'Oréal Portugal para as Mulheres na Ciência

Other distinction

2021 Selecionada para a iniciativa "Mulheres na Ciência".
Ciência Viva, Portugal
1993 Melhor Aluno do Ensino Secundário
Escola Secundária de Mirandela, Portugal