Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians PRS Antunes, P Freitas Journal of Optimization Theory and Applications 154, 235-257, 2012 | 101 | 2012 |
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 | 87 | 2005 |
New bounds for the principal Dirichlet eigenvalue of planar regions P Antunes, P Freitas Experimental Mathematics 15 (3), 333-342, 2006 | 55 | 2006 |
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 | 52 | 2017 |
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 | 47 | 2009 |
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 | 41 | 2010 |
Optimal spectral rectangles and lattice ellipses PRS Antunes, P Freitas Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013 | 38 | 2013 |
Reducing the ill conditioning in the method of fundamental solutions PRS Antunes Advances in Computational Mathematics 44, 351-365, 2018 | 32 | 2018 |
The method of fundamental solutions applied to some inverse eigenproblems CJS Alves, PRS Antunes SIAM Journal on Scientific Computing 35 (3), A1689-A1708, 2013 | 31 | 2013 |
A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation PRS Antunes Numerical Algorithms, 2018 | 30 | 2018 |
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 | 30 | 2013 |
A numerical study of the spectral gap P Antunes, P Freitas Journal of Physics A: Mathematical and Theoretical 41 (5), 055201, 2008 | 29 | 2008 |
Parametric shape optimization using the support function PRS Antunes, B Bogosel Computational Optimization and Applications 82 (1), 107-138, 2022 | 28 | 2022 |
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 | 27 | 2015 |
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 | 27 | 2011 |
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 | 23 | 2011 |
Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction PRS Antunes, P Freitas Applied Mathematics & Optimization 73 (2), 313-328, 2016 | 22 | 2016 |
On the inverse spectral problem for Euclidean triangles PRS Antunes, P Freitas Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 20 | 2011 |
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 | 17 | 2013 |
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 | 15 | 2018 |