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Pedro R. S. Antunes
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2020 – today
- 2024
- [j22]Pedro R. S. Antunes, Hernani Calunga
, Pedro Serranho:
Improving the conditioning of the Method of Fundamental Solutions for the Helmholtz equation on domains in polar or elliptic coordinates. Appl. Math. Comput. 482: 128969 (2024) - [j21]Carlos J. S. Alves, Pedro R. S. Antunes:
Wave scattering problems in exterior domains with the method of fundamental solutions. Numerische Mathematik 156(2): 375-394 (2024) - 2022
- [j20]Pedro R. S. Antunes, Beniamin Bogosel
:
Parametric shape optimization using the support function. Comput. Optim. Appl. 82(1): 107-138 (2022) - [j19]Pedro R. S. Antunes, Beniamin Bogosel
:
Correction to: Parametric shape optimization using the support function. Comput. Optim. Appl. 82(1): 139 (2022) - [j18]Pedro R. S. Antunes
:
A well-conditioned method of fundamental solutions for Laplace equation. Numer. Algorithms 91(3): 1381-1405 (2022) - 2021
- [j17]Pedro R. S. Antunes
:
Numerical calculation of extremal Steklov eigenvalues in 3D and 4D. Comput. Math. Appl. 104: 50-58 (2021) - [i1]Pedro R. S. Antunes:
A well conditioned Method of Fundamental Solutions. CoRR abs/2109.01886 (2021) - 2020
- [j16]Carlos J. S. Alves
, Pedro R. S. Antunes
, Nuno F. M. Martins
, Svilen S. Valtchev
:
Solving boundary value problems on manifolds with a plane waves method. Appl. Math. Lett. 107: 106426 (2020)
2010 – 2019
- 2019
- [j15]Pedro R. S. Antunes, Davide Buoso
, Pedro Freitas
:
On the Behavior of Clamped Plates under Large Compression. SIAM J. Appl. Math. 79(5): 1872-1891 (2019) - 2018
- [j14]Pedro R. S. Antunes:
Reducing the ill conditioning in the method of fundamental solutions. Adv. Comput. Math. 44(1): 351-365 (2018) - [j13]Carlos J. S. Alves
, Pedro R. S. Antunes
:
The method of fundamental solutions applied to boundary value problems on the surface of a sphere. Comput. Math. Appl. 75(7): 2365-2373 (2018) - [j12]Pedro R. S. Antunes:
A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation. Numer. Algorithms 79(3): 879-897 (2018) - 2017
- [j11]Pedro R. S. Antunes, Rui A. C. Ferreira
:
Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives. Commun. Nonlinear Sci. Numer. Simul. 48: 398-413 (2017) - [j10]Pedro R. S. Antunes, Cristian Barbarosie
, Anca-Maria Toader
:
Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes. J. Comput. Phys. 333: 352-368 (2017) - [j9]Pedro R. S. Antunes:
Is it possible to tune a drum? J. Comput. Phys. 338: 91-106 (2017) - [j8]Pedro R. S. Antunes, Édouard Oudet:
Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries. SIAM J. Sci. Comput. 39(3) (2017) - 2015
- [j7]Pedro R. S. Antunes, Rui A. C. Ferreira
:
An Augmented-RBF Method for Solving Fractional Sturm-Liouville Eigenvalue Problems. SIAM J. Sci. Comput. 37(1) (2015) - 2014
- [j6]Pedro R. S. Antunes:
Optimal Bilaplacian Eigenvalues. SIAM J. Control. Optim. 52(4): 2250-2260 (2014) - 2013
- [j5]Pedro R. S. Antunes:
Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues. Appl. Math. Comput. 219(9): 4239-4254 (2013) - [j4]Carlos J. S. Alves
, Pedro R. S. Antunes:
The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems. SIAM J. Sci. Comput. 35(3) (2013) - 2012
- [j3]Pedro R. S. Antunes, Pedro Freitas
:
Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians. J. Optim. Theory Appl. 154(1): 235-257 (2012) - 2010
- [j2]Pedro R. S. Antunes, Svilen S. Valtchev
:
A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks. J. Comput. Appl. Math. 234(9): 2646-2662 (2010)
2000 – 2009
- 2006
- [j1]Pedro R. S. Antunes, Pedro Freitas:
New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions. Exp. Math. 15(3): 333-342 (2006)
Coauthor Index
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