Members > Collaborators

Pedro Antunes

Institutional Address

Universidade Lusófona de Humanidades e Tecnologias
Campo Grande 376
1749-024 LISBOA


Phone: | Email: prsantunes@gmail.com | Web: www.ciul.ul.pt/~pant/antunes.htm

Position

FCT Investigator, Universidade Lusófona de Humanidades e Tecnologias

Area

Applied and Numerical Analysis

Qualifications

  • PHD in mathematics - Tecnhical University of Lisbon (2008)

Publications

Papers in International Journals

Antunes, Pedro R. S.; Rui A. C. Ferreira (2015) An augmented-RBF method for solving fractional Sturm-Liouville eigenvalue problems. SIAM Journal of Scientific Computing: 37(1), A515-A535.
Masoero, David; Raimondo, Andrea; Antunes, Pedro R. S. (2015) Critical behaviour for scalar nonlinear waves. Physica D: Nonlinear Phenomena: 292–293, 1-7.
Antunes, Pedro R. S. (2014) Optimal Bilaplacian eigenvalues. SIAM Journal on Control and Optimization: 52, 2250–2260.
Antunes, Pedro R. S. (2013) Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues. Applied Mathematics and Computation: 219, 4239-4254 .
Antunes, Pedro R. S.; Freitas, Pedro; Kennedy, James B. (2013) Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian. ESAIM: Control, Optimisation and Calculus of Variations: 19, 438-459.
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.
Antunes, Pedro R. S.; Freitas, Pedro (2013) Optimal spectral rectangles and lattice ellipses. Proceedings of the Royal Society A: 469, 2012-0492.
Antunes, Pedro R. S.; Gazzola, Filippo (2013) Convex shape optimization for the least biharmonic Steklov eigenvalue. ESAIM: Control, Optimisation and Calculus of Variations: 19, 385-403.
Antunes, Pedro R. S.; Henrot, Antoine (2013) On the range of the first two Dirichlet eigenvalues of the Laplacian with volume and perimeter constraint. Publ. RIMS, Kyoto University: 1850, 66-78.
Antunes, Pedro R. S.; Freitas, Pedro (2012) On the role of spectral markers and stability in spine models. Journal of the Mechanical Behavior of Biomedical Materials: 14, 19-28.
Antunes, Pedro R. S.; Freitas, Pedro (2012) Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians. Journal of Optimization Theory and Applications: 154, 235-257.
Antunes, Pedro R. S.; Henrot, Antoine (2011) On the range of the first two Dirichlet and nontrivial Neumann eigenvalues of the Laplacian. Proceedings of the Royal Society A: 467, 1577-1603.
Antunes, Pedro R. S. (2011) Numerical calculation of eigensolutions of 3D shapes using the Method of Fundamental Solutions. Numerical Methods for Partial Differential Equations: 27, 1525-1550.
Antunes, Pedro R. S. (2011) On the buckling eigenvalue problem. Journal of Physics A: Mathematical and Theoretical: 44, 215-205.
Antunes, Pedro R. S.; Freitas, Pedro (2011) On the inverse spectral problem for Euclidean triangles. Proceedings of the Royal Society A: 467, 1546-1562.
Antunes, Pedro R. S.; Valtchev, Svilen S.  (2010) A Meshfree Numerical Method for Acoustic Wave Propagation Problems in Planar Domains with Corners and Cracks. Journal of Computational and Applied Mathematics: 234(9), 2646-2662.
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.
Antunes, Pedro R. S.; Freitas, Pedro (2008) A Numerical Study of the Spectral Gap. Journal of Physics A-Mathematical and Theoretical: 41(5), 055201.
Antunes, Pedro R. S.; Freitas, Pedro (2006) New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions. Experimental Mathematics: 15(3), 333-342.
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.

Papers or Chapters in Edited Books

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.

Communications in Conference Proceedings

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.; 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.

Thesis

Antunes, Pedro R. S. (2008) Meshless Methods for Eigenproblems in PDEs. PhD Thesis, Instituto Superior Tecnico, University of Lisbon.