Members > Faculty Members

Carlos J. S. Alves

Institutional Address

Instituto Superior Técnico (IST)
Av. Rovisco Pais 1
1049-001 LISBOA


Phone: +351-218417067 | Email: cjsalves@gmail.com | Web: http://www.math.ist.utl.pt/~calves/

Position

Associate Professor, Instituto Superior Técnico, Universidade de Lisboa

Area

Applied and Numerical Analysis

Principal Area

Numerical Analysis of Differential Equations

Other Area

Inverse Problems

Qualifications

  • 2008 Habilitation in Mathematics - Instituto Superior Técnico
  • 1995 PhD Applied Mathematics, Ecole Polytechnique, France
  • 1992 MSc Mathematics, Universidade de Lisboa
  • 1988 BSc Mathematics, Universidade de Lisboa

Editor in International Journals:

 


Publications

Papers in International Journals

Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2017) Extending the method of fundamental solutions to non-homogeneous elastic wave problems. Applied Numerical Mathematics: 115, 299-313.
Alves, Carlos J. S.; Mamud, Roberto; Martins, Nuno F. M.; Roberty, Nilson C. (2017) On Inverse Problems for Characteristic Sources in Helmholtz Equations. Mathematical Problems in Engineering: 2017, ID 2472060.
Abreu, Luiz; Colaço, Marcelo J.; Orlande, Helcio R. B.; Alves, Carlos J. S. (2016) Thermography detection of contact failures in double layered materials using the reciprocity functional approach. Applied Thermal Engineering: 100, 1173-1178.
Colaço, Marcelo J.; Alves, Carlos J. S. (2015) A backward reciprocity function approach to estimate spatial transient themal contact conductance in double-layered materials using non-intrusive measurements. Numerical Heat Transfer (A): 68(2), 117-132.
Colaço, Marcelo J.; Alves, Carlos J. S.; Bozzoli, Fabio (2015) The reciprocity function approach applied to the non-intrusive estimation of spatially varying internal heat transfer coefficients in ducts: numerical and experimental results. International Journal of Heat and Mass Transfer: 90, 1221-1231.
Colaço, Marcelo J. ; Alves, Carlos J. S.; Orlande, Hélcio R. B.  (2015) Transient non-intrusive method for estimating spatial thermal contact conductance by means of the reciprocity functional approach and the method of fundamental solutions. Inverse Problems in Science and Engineering: 23(4), 688-717.
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C. (2014) Identification and Reconstruction of Elastic Body Forces. Inverse Problems: 30(5), 055015.
Colaco, Marcelo J.; Alves, Carlos J. S. (2013) A Fast Non-Intrusive Method for Estimating Spatial Thermal Contact Conductance by Means of the Reciprocity Functional Approach and the Method of Fundamental Solutions. International Journal of Heat and Mass Transfer: 60, 653-663.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2013) The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems. SIAM Journal on Scientific Computing: 35(3), A1689-A1708.
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C. (2009) Full Identification of Acoustic Sources with Multiple Frequencies and Boundary Measurements. Inverse Problems and Imaging: 3(2), 275-294.
Alves, Carlos J. S.; Silvestre, Ana Leonor; Takahashi, Takeo; Tucsnak, Marius (2009) Solving Inverse Source Problems Using Observability. Applications to the Euler-Bernoulli Plate Equation. SIAM Journal on Control and Optimization: 48(3), 1632-1659.
Alves, Carlos J. S. (2009) On the Choice of Source Points in the Method of Fundamental Solutions. Engineering Analysis with Boundary Elements: 33(12), 1348-1361.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2009) The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates. International Journal for Numerical Methods in Engineering: 77(2), 177–194.
Roberty, N. C.; Alves, Carlos J. S. (2009) On the Identification of Star-Shape Sources From Boundary Measurements Using a Reciprocity Functional. Inverse Problems in Science and Engineering: 17(2), PII 905612898.
Alves, Carlos J. S.; Kress, Rainer; Serranho, Pedro (2009) Iterative and Range Test Methods for an Inverse Source Problem for Acoustic Waves. Inverse Problems: 25(5), 055005.
Alves, Carlos J. S.; Martins, Nuno F. M. (2009) The Direct Method of Fundamental Solutions and the Inverse Kirsch-Kress Method for the Reconstruction of Elastic Inclusions OR Cavities. Journal of Integral Equations and Applications: 21(2), 153-178.
Alves, Carlos J. S.; Colaco, Marcelo J.; Leitao, Vitor M. A.; Martins, Nuno F. M.; Orlande, Helcio R. B.; Roberty, Nilson C. (2008) Recovering the Source Term in a Linear Diffusion Problem by the Method of Fundamental Solutions. Inverse Problems in Science and Engineering: 16(8), PII 905240936.
Alves, Carlos J. S. (2008) Special Issue on Meshless Methods - Preface. Engineering Analysis with Boundary Elements: 32(6), 439-439.
Alves, Carlos J. S.; Cruzeiro, A. B. (2008) Monte-Carlo Simulation of Stochastic Differential Systems - a Geometrical Approach. Stochastic Processes and Their Applications: 118(3), 346-367.
Alves, Carlos J. S.; Kress, Rainer; Silvestre, Ana Leonor (2007) Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations. J. Inverse Ill-Posed Probl.: 15 (5), 461-481.
Alves, Carlos J. S.; Leitao, VMA (2006) Crack Analysis Using an Enriched MFS Domain Decomposition Technique. Engineering Analysis with Boundary Elements: 30(3), 160-166.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2005) Numerical Comparison of Two Meshfree Methods for Acoustic Wave Scattering. Engineering Analysis with Boundary Elements: 29(4), 371-382.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2005) The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes. CMC-Computers Materials & Continua: 2(4), 251-265.
Alves, Carlos J. S.; Chen, CS (2005) A New Method of Fundamental Solutions Applied to Nonhomogeneous Elliptic Problems. Advances in Computational Mathematics: 23(1-2), 125-142.
Alves, Carlos J. S.; Silvestre, Ana Leonor (2004) On the Determination of Point-Forces on a Stokes System. Mathematics and Computers in Simulation: 66(4-5), 385-397.
Alves, Carlos J. S.; Ben Abdallah, J; Jaoua, M (2004) Recovery of Cracks Using a Point-Source Reciprocity Gap Function. Inverse Problems in Science and Engineering: 12(5), 519-534.
Alves, Carlos J. S.; Serranho, Pedro (2004) On the Identification of the Flatness of a Sound-Hard Acoustic Crack. Mathematics and Computers in Simulation: 66(4-5), 337-353.
Alves, Carlos J. S.; Silvestre, Ana Leonor (2004) Density Results Using Stokeslets and a Method of Fundamental Solutions for the Stokes Equations. Engineering Analysis with Boundary Elements: 28(10), 1245-1252.
Alves, Carlos J. S.; Kress, R (2002) On the Far-Field Operator in Elastic Obstacle Scattering. IMA Journal of Applied Mathematics: 67(1), 1-21.
Alves, Carlos J. S.; Ammari, H (2001) Boundary Integral Formulae for the Reconstruction of Imperfections of Small Diameter in an Elastic Medium. SIAM Journal on Applied Mathematics: 62(1), 94-106.
Alves, Carlos J. S. (1999) Numerical Simulations on Resonance Poles - the Trapping Case of Two Plane Cracks. Journal of Computational and Applied Mathematics: 111(1-2), 267-279.
Alves, Carlos J. S.; Ha Duong, Tuong (1999) Inverse Scattering for Elastic Plane Cracks. Inverse Problems: 15(1), 91-97.
Alves, Carlos J. S.; Ha Duong, Tuong (1997) On Inverse Scattering by Screens. Inverse Problems: 13(5), 1161-1176.
Alves, Carlos J. S.; Ha Duong, Tuong (1995) Numerical Resolution of the Boundary Integral-Equations for Elastic-Scattering by a Plane Crack. International Journal for Numerical Methods in Engineering: 38(14), 2347-2371.

Papers or Chapters in Edited Books

Alves, Carlos J. S.; Martins, Nuno F. M. (2009) On the Determination of a Robin Boundary Coefficient in an Elastic Cavity Using the MFS. Progress on Meshless Methods, Computational Methods in Applied Sciences, Springer Netherlands: 11, 125-139.
Alves, Carlos J. S.; Martins, Nuno F. M. (2008) Reconstruction of inclusions or cavities in potential problems using the MFS. The Method of Fundamental Solutions - A Meshless Method, Dynamic Publishers.
Alves, Carlos J. S. (2008) Enrichment Techniques and the Method of Fundamental Solutions. Proceedings of Lsame.08: Leuven Symposium on Applied Mechanics in (Ed. Bergen, B et al.), 121-132.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2007) A Kansa Type Method Using Fundamental Solutions Applied to Elliptic PDEs. Advances in Meshfree Techniques (Ed. Leitao, Vma et Al.). Computational Methods in Applied Sciences: 5, 241-256.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2006) Numerical Determination of the Resonance Frequencies and Eigenmodes Using the MFS. Computational Methods, Ed. Liu, GR et al.: ISBN 978-1-4020-3953-9, 1385-1389.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2006) Comparison between meshfree and boundary element methods applied to BVPs in domains with corners. III European Conference on Computational Mechanics.
Alves, Carlos J. S.; Pereira, B; Serranho, Pedro (2002) Scattering by Cracks: Numerical Simulations Using a Boundary Finite Element Method. Boundary Elements Xxiv: Incorporating Meshless Solutions (Ed. Breebia, CA et Al.). Advances in Boundary Elements Series: 13, 35-44.
Alves, Carlos J. S.; Chen, C. S.; Sarler, B. (2002) The method of fundamental solutions for solving Poisson problems. Boundary elements XXIV: Incorporating meshless solutions. (Editor: Brebbia, C. A.). WIT Press, 67-76.
Alves, Carlos J. S.; Ribeiro, PMC (1999) Crack Detection Using Spherical Incident Waves and Near-Field Measurements. Boundary Elements XXI (Editor: Brebbia, C.A. et al.). Advances in Boundary Elements Series. WIT Press.: 6, 355-364.
Alves, Carlos J. S. (1998) Inverse scattering with spherical incident waves. Mathematical and Numerical Aspects of Wave Propagation (Editor: DeSanto, J.). SIAM, 502-504.
Alves, Carlos J. S.; Ha-Duong, T (1997) On the far field amplitude for elastic waves. Modern mathematical methods in diffraction theory and its applications in engineering (Editor: Meister, E.). Methoden Verfahren Math. Phys. Peter Lang.: 42, 49-67.
Alves, Carlos J. S.; Ha-Duong, T (1995) Numerical experiments on the resonance poles associated to acoustic and elastic scattering by a plane crack.. Mathematical and numerical aspects of wave propagation (Editor: Cohen, G.). SIAM., 544-553.

Communications in Conference Proceedings

Valtchev, Svilen S. ; Alves, Carlos J. S.; Martins, Nuno F. M. (2014) A Meshfree Method with Fundamental Solutions for Inhomogeneous Elastic Wave Problems. Proceedings of the 6th International Conference on Numerical Analysis (NumAn 2014), September 2-5, Chania,Greece.
Alves, Carlos J. S.; Colaço, M. J.; Martins, Nuno F. M.; Rainha, M. L.; Roberty, N. C. (2012) Uncertainties on the inverse source problem for elliptic boundary value problems. ECCOMAS 2012 Congress (6th European Congress on ComputationalMethods in Applied Sciences and Engineering). September 10-14, 2012, Vienna, Austria, 5298-5311.
Alves, Carlos J. S.; Colaço, Marcelo J. (2012) Estimation of unknown contact resistance by means of reciprocity function approach. ECCOMAS 2012 Congress (6th European Congress on ComputationalMethods in Applied Sciences and Engineering). September 10-14, 2012, Vienna, Austria, 5359-5374.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2007) The Method of Fundamental Solutions Applied to the Calculation of Eigensolutions in 2D Plates. Proceedings of the 2nd ECOMMAS Thematic Conference on Meshless Methods, Porto, 8-14.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2007) The plane waves method as an asymptotic MFS. Proceedings of the MFS2007.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2005) A Kansa type method using fundamental solutions applied to elliptic PDEs. Proceedings of the ECCOMAS thematic conference on Meshless methods.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2005) A Kansa type method using fundamental solutions applied to second order elliptic PDEs. Proceedings of the ICCES'05.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2005) The method of fundamental solutions applied to the numerical calculation of eigenfrequencies and eigenmodes of 3D simply connected domains. Proceedings of the ECCOMAS Thematic Conference on Meshless Methods (Editors: Leitão,V. et al). IST, Lisboa, B34.1-6.
Alves, Carlos J. S.; Antunes, Pedro R. S. (2004) Numerical determination of eigenfrequencies and eigenmodes using the method of fundamental solutions. Proceedings of the International Conference in Engineering & Science 2004 (Editors: Atluri, S.; Tadeu, A.), in CD. Tech Science Press, Los Angeles.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2004) Resolucao numerica de problemas de difraccao acustica nao homogeneos atraves de dois metodos sem malha. Proceedings of the VIIIth Congress on Applied and Computational Mechanics & VI Congresso de Metodos Numericos en Ingeniaria.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2003) Resolucao numerica de problemas de difraccao de ondas acusticas usando resultados de densidade de ondas planas e de solucoes fundamentais. Proceedings of the VIIth Congress on Applied and Computational Mechanics, 2139–2148.
Alves, Carlos J. S.; Valtchev, Svilen S.  (2003) Numerical simulations of acoustic wave scattering using a meshfree plane wave method. Proceedings of the International Workshop on Meshfree Methods, Instituto Superior Tecnico, Portugal, 215-220.

Edition of Books

Alves, Carlos J. S.; Pardalos, P.M.; Vicente, L.N. (2008) Optimization in Medicine, Springer Optimization and its Applications Series. Springer, New York: 12, 195 pp.
Alves, Carlos J. S. (2008) Special issue on Meshless Methods. Engineering Analysis with Boundary Elements: 32(6), 439-532.
Leitão, Vítor M. A.; Alves, Carlos J. S.; Duarte, C. A. (2007) Advances in Meshfree Techniques. Springer, New York, 315 pp..
Kirsch, Andreas; Alves, Carlos J. S. (2004) Special issue on Inverse Obstacle Problems. Mathematics and Computers in Simulation: 66(4-5), 253–254.

Other Information

Projects (coordination)

  • FCT - POCTI/MAT/60863/2004 - Inverse Problems and Meshless Methods
  • FCT - POCTI/MAT/34735/2000 - Inverse Problems and Numerical Analysis in Wave Scattering
  • CAPES-GRICES 2011-12 (with M. Colaço) Inverse Problems in the Determination of Conductivities and Source Terms using Fundamental Solutions and Bayesian Methods
  • CAPES-GRICES 2004-06 (with H. B. Orlande) Inverse Problems in Identification of Obstacles, Inclusions, Cracks, and Material Inhomogeneities
  • NATO CLG 2004-05 (with C.S. Chen) Boundary Meshless Methods for Solving Large Scale Problems
  • NATO CLG 2001-03 (with C.S. Chen) The method of fundamental solutions for nonhomogeneous problems

Prizes

  • First Prize in Mathematics - Scientific Prizes UTL-Santander-Totta (2009).
  • Honorable mention - Scientific Prizes UTL-Santander-Totta (2007)

Positions (ellection)

  • Chair of the Department of Mathematics Council (IST, 2017-2020)
  • Head of the Department of Mathematics (IST, 2005-06)
  • Head of Unit (DM-IST, 1999-2000)
  • Member - Faculty Statutary Assembly IST (2008-09)
  • Substitute - University Statutary Assembly UTL (2007-08)
  • Member - Faculty Council - IST (2009-2012)

PhD Thesis Supervision

  • Svilen S. Valtchev (IST, 2008)
  • Pedro R. S. Antunes (IST, 2008)
  • Nuno F. M. Martins (UNL, 2009) - with E. Coimbra
  • Marcelo Rainha (UFRJ, 2012) - with N. Roberty
  • Luiz Abreu (UFRJ, 2014) - with M. Colaço, H. Orlande
  • Roberto Mamud (UFRJ, 2016) with N. Roberty

 MSc Thesis Supervision

  • Paula Ribeiro (IST, 1999)
  • Pedro Serranho (IST, 2003)
  • Bruno Pereira (IST, 2004)
  • Pedro Antunes (IST, 2004)
  • André Vasconcelos (IST, 2007)
  • Inês Estrela Oliveira (IST, 2008)
  • Daniela Pamplona (IST, 2008) with A. Bernardino
  • Catarina Vaz (IST, 2009) with A. B. Cruzeiro
  • Margarida Fernandes (IST, 2009) with A. B. Cruzeiro
  • Manuela Almeida (IST, 2015) with M.R. Oliveira
  • Mafalda Ceyrat (IST,  2015) with J. Figueira
  • Matilde Rosa (IST, 2016)
  • Joana Ribeiro (IST, ongoing) with A. Martins
  • Susana Quartin (IST, ongoing) with J. Bandeiras
  • Jéssica Perfeito (IST, ongoing) with J. Bandeiras