Wang, Yinkun; Xiang, Shuhuang Fast and stable augmented Levin methods for highly oscillatory and singular integrals. (English) Zbl 07541895 Math. Comput. 91, No. 336, 1893-1923 (2022). MSC: 65D32 65R10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Xiang}, Math. Comput. 91, No. 336, 1893--1923 (2022; Zbl 07541895) Full Text: DOI OpenURL
Huybrechs, Daan On the computation of Gaussian quadrature rules for Chebyshev sets of linearly independent functions. (English) Zbl 07538280 SIAM J. Numer. Anal. 60, No. 3, 1168-1192 (2022). MSC: 65D30 65D32 PDF BibTeX XML Cite \textit{D. Huybrechs}, SIAM J. Numer. Anal. 60, No. 3, 1168--1192 (2022; Zbl 07538280) Full Text: DOI OpenURL
Ecevit, Fatih; Boubendir, Yassine; Anand, Akash; Lazergui, Souaad Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems. (English) Zbl 07501300 Numer. Math. 150, No. 3, 803-847 (2022). MSC: 65N38 78M35 35P25 65N12 PDF BibTeX XML Cite \textit{F. Ecevit} et al., Numer. Math. 150, No. 3, 803--847 (2022; Zbl 07501300) Full Text: DOI OpenURL
Lafontaine, D.; Spence, E. A.; Wunsch, J. A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency. (English) Zbl 1481.35136 Numer. Math. 150, No. 1, 137-178 (2022). MSC: 35J05 65N15 65N30 78A45 PDF BibTeX XML Cite \textit{D. Lafontaine} et al., Numer. Math. 150, No. 1, 137--178 (2022; Zbl 1481.35136) Full Text: DOI arXiv OpenURL
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E. Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. (English) Zbl 1452.65381 SN Partial Differ. Equ. Appl. 1, No. 4, Paper No. 21, 26 p. (2020). MSC: 65N38 65R20 78A45 78M15 78M35 PDF BibTeX XML Cite \textit{A. Gibbs} et al., SN Partial Differ. Equ. Appl. 1, No. 4, Paper No. 21, 26 p. (2020; Zbl 1452.65381) Full Text: DOI arXiv OpenURL
Ecevit, Fatih; Anand, Akash; Boubendir, Yassine Galerkin boundary element methods for high-frequency multiple-scattering problems. (English) Zbl 1439.78020 J. Sci. Comput. 83, No. 1, Paper No. 1, 21 p. (2020). MSC: 78M15 78M35 65N38 35J05 35P25 PDF BibTeX XML Cite \textit{F. Ecevit} et al., J. Sci. Comput. 83, No. 1, Paper No. 1, 21 p. (2020; Zbl 1439.78020) Full Text: DOI OpenURL
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P. High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. (English) Zbl 1431.35020 SIAM J. Math. Anal. 52, No. 1, 845-893 (2020). MSC: 35J05 35J25 35P25 65N30 65N38 78A45 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} et al., SIAM J. Math. Anal. 52, No. 1, 845--893 (2020; Zbl 1431.35020) Full Text: DOI arXiv OpenURL
Kang, Hongchao; Wang, Hong Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator. (English) Zbl 07161486 J. Sci. Comput. 82, No. 2, Paper No. 29, 33 p. (2020). MSC: 65D30 65D32 65R10 41A60 PDF BibTeX XML Cite \textit{H. Kang} and \textit{H. Wang}, J. Sci. Comput. 82, No. 2, Paper No. 29, 33 p. (2020; Zbl 07161486) Full Text: DOI OpenURL
Kang, Hongchao Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals. (English) Zbl 1429.65050 Appl. Math. Comput. 346, 305-318 (2019). MSC: 65D32 65D30 41A60 65R10 PDF BibTeX XML Cite \textit{H. Kang}, Appl. Math. Comput. 346, 305--318 (2019; Zbl 1429.65050) Full Text: DOI OpenURL
Huybrechs, Daan; Opsomer, Peter High-frequency asymptotic compression of dense BEM matrices for general geometries without ray tracing. (English) Zbl 1422.65430 J. Sci. Comput. 78, No. 2, 710-745 (2019). MSC: 65N38 65F50 45A05 45M05 65R20 65N35 65N30 65F35 76Q05 PDF BibTeX XML Cite \textit{D. Huybrechs} and \textit{P. Opsomer}, J. Sci. Comput. 78, No. 2, 710--745 (2019; Zbl 1422.65430) Full Text: DOI arXiv OpenURL
Galkowski, Jeffrey; Spence, Euan A. Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators. (English) Zbl 1417.31008 Integral Equations Oper. Theory 91, No. 1, Paper No. 6, 35 p. (2019). MSC: 31B10 31B25 35J05 35J25 PDF BibTeX XML Cite \textit{J. Galkowski} and \textit{E. A. Spence}, Integral Equations Oper. Theory 91, No. 1, Paper No. 6, 35 p. (2019; Zbl 1417.31008) Full Text: DOI arXiv OpenURL
Galkowski, Jeffrey; Müller, Eike H.; Spence, Euan A. Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem. (English) Zbl 1414.35054 Numer. Math. 142, No. 2, 329-357 (2019). MSC: 35J05 35J25 65N22 65N38 65R20 PDF BibTeX XML Cite \textit{J. Galkowski} et al., Numer. Math. 142, No. 2, 329--357 (2019; Zbl 1414.35054) Full Text: DOI arXiv OpenURL
Groth, S. P.; Hewett, D. P.; Langdon, S. A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons. (English) Zbl 1469.78049 Wave Motion 78, 32-53 (2018). MSC: 78M15 76Q05 35Q60 35P25 PDF BibTeX XML Cite \textit{S. P. Groth} et al., Wave Motion 78, 32--53 (2018; Zbl 1469.78049) Full Text: DOI arXiv Link OpenURL
Lazergui, Souaad; Boubendir, Yassine Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator. (English) Zbl 1447.65179 J. Math. Anal. Appl. 456, No. 2, 767-786 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N99 35C20 35J05 35B40 PDF BibTeX XML Cite \textit{S. Lazergui} and \textit{Y. Boubendir}, J. Math. Anal. Appl. 456, No. 2, 767--786 (2017; Zbl 1447.65179) Full Text: DOI arXiv OpenURL
Boubendir, Yassine; Ecevit, Fatih; Reitich, Fernando Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects. (English) Zbl 1379.65091 SIAM J. Sci. Comput. 39, No. 6, B1130-B1155 (2017). MSC: 65N38 35J05 65N12 78A45 65F08 PDF BibTeX XML Cite \textit{Y. Boubendir} et al., SIAM J. Sci. Comput. 39, No. 6, B1130--B1155 (2017; Zbl 1379.65091) Full Text: DOI arXiv OpenURL
Ecevit, Fatih; Özen, Hasan Çağan Frequency-adapted Galerkin boundary element methods for convex scattering problems. (English) Zbl 1359.65278 Numer. Math. 135, No. 1, 27-71 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 78M15 35P25 65N12 35J05 PDF BibTeX XML Cite \textit{F. Ecevit} and \textit{H. Ç. Özen}, Numer. Math. 135, No. 1, 27--71 (2017; Zbl 1359.65278) Full Text: DOI OpenURL
Shin, Jaemin Inverse obstacle backscattering problems with phaseless data. (English) Zbl 1383.78023 Eur. J. Appl. Math. 27, No. 1, 111-130 (2016). MSC: 78A46 78A45 35J05 35R25 65H10 PDF BibTeX XML Cite \textit{J. Shin}, Eur. J. Appl. Math. 27, No. 1, 111--130 (2016; Zbl 1383.78023) Full Text: DOI OpenURL
He, Guo; Xiang, Shuhuang; Zhu, Enwen Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method. (English) Zbl 1362.65138 Int. J. Comput. Math. 93, No. 1, 83-107 (2016). MSC: 65R10 44A15 65D32 PDF BibTeX XML Cite \textit{G. He} et al., Int. J. Comput. Math. 93, No. 1, 83--107 (2016; Zbl 1362.65138) Full Text: DOI OpenURL
Baskin, Dean; Spence, Euan A.; Wunsch, Jared Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. (English) Zbl 1341.35013 SIAM J. Math. Anal. 48, No. 1, 229-267 (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 35J05 35J25 65N38 78A45 PDF BibTeX XML Cite \textit{D. Baskin} et al., SIAM J. Math. Anal. 48, No. 1, 229--267 (2016; Zbl 1341.35013) Full Text: DOI arXiv OpenURL
Hewett, D. P. Shadow boundary effects in hybrid numerical-asymptotic methods for high-frequency scattering. (English) Zbl 1383.65148 Eur. J. Appl. Math. 26, No. 5, 773-793 (2015). MSC: 65N38 35J05 35P25 33B20 78A45 65N50 PDF BibTeX XML Cite \textit{D. P. Hewett}, Eur. J. Appl. Math. 26, No. 5, 773--793 (2015; Zbl 1383.65148) Full Text: DOI arXiv OpenURL
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P. Coercivity of combined boundary integral equations in high-frequency scattering. (English) Zbl 1342.35202 Commun. Pure Appl. Math. 68, No. 9, 1587-1639 (2015). Reviewer: Hideo Nakazawa (Tokyo) MSC: 35P25 65N38 35J05 PDF BibTeX XML Cite \textit{E. A. Spence} et al., Commun. Pure Appl. Math. 68, No. 9, 1587--1639 (2015; Zbl 1342.35202) Full Text: DOI OpenURL
Xiang, Shuhuang; He, Guo; Cho, Yeol Je On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. (English) Zbl 1320.65043 Adv. Comput. Math. 41, No. 3, 573-597 (2015). Reviewer: Denis Sidorov (Irkutsk) MSC: 65D32 41A55 65T40 42A16 PDF BibTeX XML Cite \textit{S. Xiang} et al., Adv. Comput. Math. 41, No. 3, 573--597 (2015; Zbl 1320.65043) Full Text: DOI OpenURL
Jerez-Hanckes, Carlos; Pinto, José; Tournier, Simon Local multiple traces formulation for high-frequency scattering problems. (English) Zbl 1326.78023 J. Comput. Appl. Math. 289, 306-321 (2015). MSC: 78M22 78A45 65N35 PDF BibTeX XML Cite \textit{C. Jerez-Hanckes} et al., J. Comput. Appl. Math. 289, 306--321 (2015; Zbl 1326.78023) Full Text: DOI OpenURL
Kang, Hongchao; Ling, Chen Computation of integrals with oscillatory singular factors of algebraic and logarithmic type. (English) Zbl 1315.65025 J. Comput. Appl. Math. 285, 72-85 (2015). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{H. Kang} and \textit{C. Ling}, J. Comput. Appl. Math. 285, 72--85 (2015; Zbl 1315.65025) Full Text: DOI OpenURL
Chandler-Wilde, S. N.; Hewett, D. P.; Langdon, S.; Twigger, A. A high frequency boundary element method for scattering by a class of nonconvex obstacles. (English) Zbl 1314.65154 Numer. Math. 129, No. 4, 647-689 (2015). Reviewer: Qin Meng Zhao (Beijing) MSC: 65N38 76Q05 76M15 35J05 65N15 65N12 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} et al., Numer. Math. 129, No. 4, 647--689 (2015; Zbl 1314.65154) Full Text: DOI arXiv Link OpenURL
Spence, E. A. Bounding acoustic layer potentials via oscillatory integral techniques. (English) Zbl 1316.35099 BIT 55, No. 1, 279-318 (2015). Reviewer: Vladimir Mityushev (Kraków) MSC: 35J05 45M05 31B10 65N38 PDF BibTeX XML Cite \textit{E. A. Spence}, BIT 55, No. 1, 279--318 (2015; Zbl 1316.35099) Full Text: DOI Link OpenURL
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A. When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? (English) Zbl 1320.65187 BIT 55, No. 1, 171-214 (2015). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N38 35J05 PDF BibTeX XML Cite \textit{I. G. Graham} et al., BIT 55, No. 1, 171--214 (2015; Zbl 1320.65187) Full Text: DOI OpenURL
Kang, Hongchao; Shao, Xinping Fast computation of singular oscillatory Fourier transforms. (English) Zbl 1474.65523 Abstr. Appl. Anal. 2014, Article ID 984834, 8 p. (2014). MSC: 65T50 65D32 PDF BibTeX XML Cite \textit{H. Kang} and \textit{X. Shao}, Abstr. Appl. Anal. 2014, Article ID 984834, 8 p. (2014; Zbl 1474.65523) Full Text: DOI OpenURL
Boubendir, Yassine; Turc, Catalin Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems. (English) Zbl 1366.78023 Comput. Math. Appl. 67, No. 10, 1772-1805 (2014). MSC: 78M15 78A45 65R20 PDF BibTeX XML Cite \textit{Y. Boubendir} and \textit{C. Turc}, Comput. Math. Appl. 67, No. 10, 1772--1805 (2014; Zbl 1366.78023) Full Text: DOI OpenURL
Asheim, Andreas A remedy for the failure of the numerical steepest descent method on a class of oscillatory integrals. (English) Zbl 1307.65029 BIT 54, No. 3, 587-605 (2014). Reviewer: Zhihua Zhang (Beijing) MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{A. Asheim}, BIT 54, No. 3, 587--605 (2014; Zbl 1307.65029) Full Text: DOI OpenURL
Peake, M. J.; Trevelyan, J.; Coates, G. Novel basis functions for the partition of unity boundary element method for Helmholtz problems. (English) Zbl 1352.65593 Int. J. Numer. Methods Eng. 93, No. 9, 905-918 (2013). MSC: 65N38 PDF BibTeX XML Cite \textit{M. J. Peake} et al., Int. J. Numer. Methods Eng. 93, No. 9, 905--918 (2013; Zbl 1352.65593) Full Text: DOI Link OpenURL
Mohamed, M. Shadi; Seaid, Mohammed; Trevelyan, Jon; Laghrouche, Omar Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media. (English) Zbl 1349.65470 J. Comput. Phys. 251, 81-101 (2013). MSC: 65M60 PDF BibTeX XML Cite \textit{M. S. Mohamed} et al., J. Comput. Phys. 251, 81--101 (2013; Zbl 1349.65470) Full Text: DOI OpenURL
Peake, M. J.; Trevelyan, J.; Coates, G. Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems. (English) Zbl 1286.65176 Comput. Methods Appl. Mech. Eng. 259, 93-102 (2013). MSC: 65N38 74S15 PDF BibTeX XML Cite \textit{M. J. Peake} et al., Comput. Methods Appl. Mech. Eng. 259, 93--102 (2013; Zbl 1286.65176) Full Text: DOI Link OpenURL
Bruno, Oscar P.; Domínguez, Víctor; Sayas, Francisco-Javier Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems. (English) Zbl 1273.65184 Numer. Math. 124, No. 4, 603-645 (2013). Reviewer: Andreas Kleefeld (Cottbus) MSC: 65N38 65T40 65N12 76Q05 76M15 35J05 PDF BibTeX XML Cite \textit{O. P. Bruno} et al., Numer. Math. 124, No. 4, 603--645 (2013; Zbl 1273.65184) Full Text: DOI arXiv Link OpenURL
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P. A new frequency-uniform coercive boundary integral equation for acoustic scattering. (English) Zbl 1228.35183 Commun. Pure Appl. Math. 64, No. 10, 1384-1415 (2011). MSC: 35Q35 76Q05 35J05 65N30 45N05 PDF BibTeX XML Cite \textit{E. A. Spence} et al., Commun. Pure Appl. Math. 64, No. 10, 1384--1415 (2011; Zbl 1228.35183) Full Text: DOI Link OpenURL
Popovic, Jelena; Runborg, Olof Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. (English) Zbl 1260.65067 BIT 51, No. 3, 721-755 (2011). Reviewer: Sebastian Anita (Iaşi) MSC: 65L10 34B05 65L20 PDF BibTeX XML Cite \textit{J. Popovic} and \textit{O. Runborg}, BIT 51, No. 3, 721--755 (2011; Zbl 1260.65067) Full Text: DOI OpenURL
Ganesh, M.; Hawkins, S. C. A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions. (English) Zbl 1432.76158 J. Comput. Phys. 230, No. 1, 104-125 (2011). MSC: 76M10 65N30 76Q05 PDF BibTeX XML Cite \textit{M. Ganesh} and \textit{S. C. Hawkins}, J. Comput. Phys. 230, No. 1, 104--125 (2011; Zbl 1432.76158) Full Text: DOI OpenURL
Asheim, Andreas; Huybrechs, Daan Local solutions to high-frequency 2D scattering problems. (English) Zbl 1196.65181 J. Comput. Phys. 229, No. 14, 5357-5372 (2010). Reviewer: Othmar Koch (Baden) MSC: 65N38 35J05 78A45 78M15 PDF BibTeX XML Cite \textit{A. Asheim} and \textit{D. Huybrechs}, J. Comput. Phys. 229, No. 14, 5357--5372 (2010; Zbl 1196.65181) Full Text: DOI Link OpenURL
Langdon, S.; Mokgolele, M.; Chandler-Wilde, S. N. High frequency scattering by convex curvilinear polygons. (English) Zbl 1350.76041 J. Comput. Appl. Math. 234, No. 6, 2020-2026 (2010). MSC: 76M15 76Q05 35P25 65N38 PDF BibTeX XML Cite \textit{S. Langdon} et al., J. Comput. Appl. Math. 234, No. 6, 2020--2026 (2010; Zbl 1350.76041) Full Text: DOI OpenURL
Honnor, M. E.; Trevelyan, J.; Huybrechs, D. Numerical evaluation of the two-dimensional partition of unity boundary integrals for Helmholtz problems. (English) Zbl 1190.65180 J. Comput. Appl. Math. 234, No. 6, 1656-1662 (2010). MSC: 65N38 35J05 PDF BibTeX XML Cite \textit{M. E. Honnor} et al., J. Comput. Appl. Math. 234, No. 6, 1656--1662 (2010; Zbl 1190.65180) Full Text: DOI OpenURL
Anand, Akash; Boubendir, Yassine; Ecevit, Fatih; Reitich, Fernando Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case. (English) Zbl 1196.65180 Numer. Math. 114, No. 3, 373-427 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 65N38 35J05 76Q05 76M15 65N12 PDF BibTeX XML Cite \textit{A. Anand} et al., Numer. Math. 114, No. 3, 373--427 (2010; Zbl 1196.65180) Full Text: DOI OpenURL
Ecevit, Fatih; Reitich, Fernando Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case. (English) Zbl 1196.65184 Numer. Math. 114, No. 2, 271-354 (2009). Reviewer: Marius Ghergu (Dublin) MSC: 65N38 76Q05 35J05 76M15 PDF BibTeX XML Cite \textit{F. Ecevit} and \textit{F. Reitich}, Numer. Math. 114, No. 2, 271--354 (2009; Zbl 1196.65184) Full Text: DOI OpenURL
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Lindner, Marko Condition number estimates for combined potential boundary integral operators in acoustic scattering. (English) Zbl 1167.35030 J. Integral Equations Appl. 21, No. 2, 229-279 (2009). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 35P25 76Q05 47B38 35J05 65N99 47G10 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} et al., J. Integral Equations Appl. 21, No. 2, 229--279 (2009; Zbl 1167.35030) Full Text: DOI OpenURL
Ganesh, M.; Hawkins, S. C. A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces. (English) Zbl 1143.78004 J. Comput. Phys. 227, No. 9, 4543-4562 (2008). MSC: 78A45 78M05 78M25 65R20 65N35 PDF BibTeX XML Cite \textit{M. Ganesh} and \textit{S. C. Hawkins}, J. Comput. Phys. 227, No. 9, 4543--4562 (2008; Zbl 1143.78004) Full Text: DOI OpenURL
Rapún, María-Luisa; Sayas, Francisco-Javier Boundary element simulation of thermal waves. (English) Zbl 1177.80096 Arch. Comput. Methods Eng. 14, No. 1, 3-46 (2007). MSC: 80M15 80-02 65N38 PDF BibTeX XML Cite \textit{M.-L. Rapún} and \textit{F.-J. Sayas}, Arch. Comput. Methods Eng. 14, No. 1, 3--46 (2007; Zbl 1177.80096) Full Text: DOI OpenURL
Rapún, María-Luisa; Sayas, Francisco-Javier Boundary element simulation of thermal waves. (English) Zbl 1140.74565 Sci. China, Ser. G 50, No. 6, 3-46 (2007). MSC: 74S15 74F05 74J20 74-02 PDF BibTeX XML Cite \textit{M.-L. Rapún} and \textit{F.-J. Sayas}, Sci. China, Ser. G 50, No. 6, 3--46 (2007; Zbl 1140.74565) Full Text: DOI OpenURL