Antunes, Pedro R. S. A well-conditioned method of fundamental solutions for Laplace equation. (English) Zbl 1500.65011 Numer. Algorithms 91, No. 3, 1381-1405 (2022). MSC: 65N80 35J05 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Numer. Algorithms 91, No. 3, 1381--1405 (2022; Zbl 1500.65011) Full Text: DOI arXiv
Antunes, Pedro R. S. Numerical calculation of extremal Steklov eigenvalues in 3D and 4D. (English) Zbl 1524.65740 Comput. Math. Appl. 104, 50-58 (2021). MSC: 65N25 35J05 35P15 49Q10 65N80 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Comput. Math. Appl. 104, 50--58 (2021; Zbl 1524.65740) Full Text: DOI arXiv
Antunes, Pedro R. S. A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation. (English) Zbl 1402.65180 Numer. Algorithms 79, No. 3, 879-897 (2018). MSC: 65N80 35J05 65F35 65N15 65F05 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Numer. Algorithms 79, No. 3, 879--897 (2018; Zbl 1402.65180) Full Text: DOI
Antunes, Pedro R. S. Reducing the ill conditioning in the method of fundamental solutions. (English) Zbl 1382.65458 Adv. Comput. Math. 44, No. 1, 351-365 (2018). MSC: 65N80 35J05 65N20 65F35 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Adv. Comput. Math. 44, No. 1, 351--365 (2018; Zbl 1382.65458) Full Text: DOI
Antunes, Pedro R. S.; Barbarosie, Cristian; Toader, Anca-Maria Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes. (English) Zbl 1375.35626 J. Comput. Phys. 333, 352-368 (2017). MSC: 35R30 74G75 35Q74 PDFBibTeX XMLCite \textit{P. R. S. Antunes} et al., J. Comput. Phys. 333, 352--368 (2017; Zbl 1375.35626) Full Text: DOI Link
Antunes, Pedro R. S. Numerical calculation of eigensolutions of 3D shapes using the method of fundamental solutions. (English) Zbl 1231.65204 Numer. Methods Partial Differ. Equations 27, No. 6, 1525-1550 (2011). MSC: 65N25 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Numer. Methods Partial Differ. Equations 27, No. 6, 1525--1550 (2011; Zbl 1231.65204) Full Text: DOI
Antunes, Pedro R. S.; Valtchev, Svilen S. A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks. (English) Zbl 1425.35144 J. Comput. Appl. Math. 234, No. 9, 2646-2662 (2010). MSC: 35Q35 65N80 PDFBibTeX XMLCite \textit{P. R. S. Antunes} and \textit{S. S. Valtchev}, J. Comput. Appl. Math. 234, No. 9, 2646--2662 (2010; Zbl 1425.35144) Full Text: DOI