Pedro R. S. Antunes

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 17

Top Topics

Maximally Stable

Numerical Calculation

Laplacian Matrix

Boundary Value Problem

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

Numer. Algorithms

Comput. Optim. Appl.

Publications

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 (2024)
Carlos J. S. Alves, Pedro R. S. Antunes
Wave scattering problems in exterior domains with the method of fundamental solutions. Numerische Mathematik 156 (2) (2024)
Pedro R. S. Antunes, Beniamin Bogosel
Correction to: Parametric shape optimization using the support function. Comput. Optim. Appl. 82 (1) (2022)
Pedro R. S. Antunes
A well-conditioned method of fundamental solutions for Laplace equation. Numer. Algorithms 91 (3) (2022)
Pedro R. S. Antunes, Beniamin Bogosel
Parametric shape optimization using the support function. Comput. Optim. Appl. 82 (1) (2022)
Pedro R. S. Antunes
A well conditioned Method of Fundamental Solutions. CoRR (2021)
Pedro R. S. Antunes
Numerical calculation of extremal Steklov eigenvalues in 3D and 4D. Comput. Math. Appl. 104 (2021)
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 (2020)
Pedro R. S. Antunes, Davide Buoso, Pedro Freitas
On the Behavior of Clamped Plates under Large Compression. SIAM J. Appl. Math. 79 (5) (2019)
Pedro R. S. Antunes
A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation. Numer. Algorithms 79 (3) (2018)
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) (2018)
Pedro R. S. Antunes
Reducing the ill conditioning in the method of fundamental solutions. Adv. Comput. Math. 44 (1) (2018)
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 (2017)
Pedro R. S. Antunes
Is it possible to tune a drum? J. Comput. Phys. 338 (2017)
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 (2017)
Pedro R. S. Antunes, Édouard Oudet
Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries. SIAM J. Sci. Comput. 39 (3) (2017)
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)
Pedro R. S. Antunes
Optimal Bilaplacian Eigenvalues. SIAM J. Control. Optim. 52 (4) (2014)
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)
Pedro R. S. Antunes
Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues. Appl. Math. Comput. 219 (9) (2013)
Pedro R. S. Antunes, Pedro Freitas
Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians. J. Optim. Theory Appl. 154 (1) (2012)
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) (2010)
Pedro R. S. Antunes, Pedro Freitas
New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions. Exp. Math. 15 (3) (2006)