Stein, David B.; Barnett, Alex H. Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects. (English) Zbl 1498.35216 Adv. Comput. Math. 48, No. 5, Paper No. 60, 46 p. (2022). MSC: 35J25 45A05 35C15 76S05 PDFBibTeX XMLCite \textit{D. B. Stein} and \textit{A. H. Barnett}, Adv. Comput. Math. 48, No. 5, Paper No. 60, 46 p. (2022; Zbl 1498.35216) Full Text: DOI arXiv
af Klinteberg, Ludvig; Barnett, Alex H. Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. (English) Zbl 1461.65026 BIT 61, No. 1, 83-118 (2021). MSC: 65D30 65D32 65R20 PDFBibTeX XMLCite \textit{L. af Klinteberg} and \textit{A. H. Barnett}, BIT 61, No. 1, 83--118 (2021; Zbl 1461.65026) Full Text: DOI arXiv
Barnett, Alex; Greengard, Leslie; Hagstrom, Thomas High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. (English) Zbl 1453.65447 J. Comput. Phys. 402, Article ID 109047, 19 p. (2020). MSC: 65R20 35P25 35L05 PDFBibTeX XMLCite \textit{A. Barnett} et al., J. Comput. Phys. 402, Article ID 109047, 19 p. (2020; Zbl 1453.65447) Full Text: DOI arXiv
Wu, Bowei; Zhu, Hai; Barnett, Alex; Veerapaneni, Shravan Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. (English) Zbl 1436.65202 J. Comput. Phys. 410, Article ID 109361, 20 p. (2020). MSC: 65N50 76D07 76M15 PDFBibTeX XMLCite \textit{B. Wu} et al., J. Comput. Phys. 410, Article ID 109361, 20 p. (2020; Zbl 1436.65202) Full Text: DOI arXiv
Rahimian, Abtin; Barnett, Alex; Zorin, Denis Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion. (English) Zbl 1395.65151 BIT 58, No. 2, 423-456 (2018). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 65D32 PDFBibTeX XMLCite \textit{A. Rahimian} et al., BIT 58, No. 2, 423--456 (2018; Zbl 1395.65151) Full Text: DOI arXiv
Barnett, Alex; Wu, Bowei; Veerapaneni, Shravan Spectrally accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations. (English) Zbl 1433.65323 SIAM J. Sci. Comput. 37, No. 4, B519-B542 (2015). MSC: 65N38 65D30 76D07 92C35 PDFBibTeX XMLCite \textit{A. Barnett} et al., SIAM J. Sci. Comput. 37, No. 4, B519--B542 (2015; Zbl 1433.65323) Full Text: DOI arXiv
Hao, S.; Barnett, A. H.; Martinsson, P. G.; Young, P. High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane. (English) Zbl 1300.65093 Adv. Comput. Math. 40, No. 1, 245-272 (2014). MSC: 65N38 35J05 65N12 PDFBibTeX XMLCite \textit{S. Hao} et al., Adv. Comput. Math. 40, No. 1, 245--272 (2014; Zbl 1300.65093) Full Text: DOI
Klöckner, Andreas; Barnett, Alexander; Greengard, Leslie; O’Neil, Michael Quadrature by expansion: a new method for the evaluation of layer potentials. (English) Zbl 1349.65094 J. Comput. Phys. 252, 332-349 (2013). MSC: 65D30 65R20 PDFBibTeX XMLCite \textit{A. Klöckner} et al., J. Comput. Phys. 252, 332--349 (2013; Zbl 1349.65094) Full Text: DOI arXiv