Pedro Antunes
Pedro Antunes
University of Lisbon - Group of Mathematical Physics
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Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians
PRS Antunes, P Freitas
Journal of Optimization Theory and Applications 154 (1), 235-257, 2012
742012
The method of fundamental solutions applied to the calculation of eigenfrequencies and eigenmodes of 2D simply connected shapes
CJS Alves, PRS Antunes
CMC-TECH SCIENCE PRESS- 2 (4), 251, 2005
672005
The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates
CJS Alves, PRS Antunes
International journal for numerical methods in engineering 77 (2), 177-194, 2009
422009
New bounds for the principal Dirichlet eigenvalue of planar regions
P Antunes, P Freitas
Experimental Mathematics 15 (3), 333-342, 2006
362006
Optimal spectral rectangles and lattice ellipses
PRS Antunes, P Freitas
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013
332013
A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks
PRS Antunes, SS Valtchev
Journal of computational and applied mathematics 234 (9), 2646-2662, 2010
332010
Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
PRS Antunes, P Freitas, D Krejčiřík
Advances in Calculus of Variations 10 (4), 357-379, 2017
312017
A numerical study of the spectral gap
P Antunes, P Freitas
Journal of Physics A: Mathematical and Theoretical 41 (5), 055201, 2008
252008
The method of fundamental solutions applied to some inverse eigenproblems
CJS Alves, PRS Antunes
SIAM Journal on Scientific Computing 35 (3), A1689-A1708, 2013
242013
Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction
PRS Antunes, P Freitas
Applied Mathematics & Optimization 73 (2), 313-328, 2016
212016
An Augmented-RBF Method for Solving Fractional Sturm--Liouville Eigenvalue Problems
PRS Antunes, RAC Ferreira
SIAM Journal on Scientific Computing 37 (1), A515-A535, 2015
192015
Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian∗
PRS Antunes, P Freitas, JB Kennedy
ESAIM: Control, Optimisation and Calculus of Variations 19 (2), 438-459, 2013
192013
Numerical calculation of eigensolutions of 3D shapes using the method of fundamental solutions
PRS Antunes
Numerical Methods for Partial Differential Equations 27 (6), 1525-1550, 2011
192011
On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian
PRS Antunes, A Henrot
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011
162011
Reducing the ill conditioning in the method of fundamental solutions
PRS Antunes
Advances in Computational Mathematics 44 (1), 351-365, 2018
152018
On the inverse spectral problem for Euclidean triangles
PRS Antunes, P Freitas
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011
152011
A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation
PRS Antunes
Numerical Algorithms, 2018
122018
Convex shape optimization for the least biharmonic Steklov eigenvalue
PRS Antunes, F Gazzola
ESAIM: Control, Optimisation and Calculus of Variations 19 (2), 385-403, 2013
112013
The method of fundamental solutions applied to boundary value problems on the surface of a sphere
CJS Alves, PRS Antunes
Computers & Mathematics with Applications 75 (7), 2365-2373, 2018
92018
Numerical minimization of Dirichlet Laplacian eigenvalues of four-dimensional geometries
PRS Antunes, E Oudet
SIAM Journal on Scientific Computing 39 (3), B508-B521, 2017
72017
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Artikelen 1–20