Kaltenbacher, Barbara; Rundell, William Nonlinearity parameter imaging in the frequency domain. (English) Zbl 07815412 Inverse Probl. Imaging 18, No. 2, 388-405 (2024). Reviewer: Giovanni S. Alberti (Genova) MSC: 35R30 35J05 78A46 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{W. Rundell}, Inverse Probl. Imaging 18, No. 2, 388--405 (2024; Zbl 07815412) Full Text: DOI arXiv
Verfürth, Barbara Higher-order finite element methods for the nonlinear Helmholtz equation. (English) Zbl 07807899 J. Sci. Comput. 98, No. 3, Paper No. 66, 24 p. (2024). MSC: 65N30 65N15 65N12 47J26 78A40 78A60 78M10 35Q60 PDFBibTeX XMLCite \textit{B. Verfürth}, J. Sci. Comput. 98, No. 3, Paper No. 66, 24 p. (2024; Zbl 07807899) Full Text: DOI arXiv OA License
Apushkinskiy, E. G.; Kozhevnikov, V. A.; Biryukov, A. V. Comparison of approximate and numerical methods for solving the homogeneous Dirichlet problem for the Helmholtz operator in a two-dimensional domain. (English) Zbl 07792264 Lobachevskii J. Math. 44, No. 9, 3989-3997 (2023). MSC: 65N35 65N30 65N06 35J05 35J25 35B38 33C10 78A60 35Q60 PDFBibTeX XMLCite \textit{E. G. Apushkinskiy} et al., Lobachevskii J. Math. 44, No. 9, 3989--3997 (2023; Zbl 07792264) Full Text: DOI
Galkowski, J.; Lafontaine, D.; Spence, E. A.; Wunsch, J. Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. (English) Zbl 1523.35135 SIAM J. Math. Anal. 55, No. 4, 3903-3958 (2023). Reviewer: Rodica Luca (Iaşi) MSC: 35J05 35J25 65N30 PDFBibTeX XMLCite \textit{J. Galkowski} et al., SIAM J. Math. Anal. 55, No. 4, 3903--3958 (2023; Zbl 1523.35135) Full Text: DOI arXiv
Galkowski, Jeffrey; Lafontaine, David; Spence, Euan Perfectly-matched-layer truncation is exponentially accurate at high frequency. (English) Zbl 1522.35164 SIAM J. Math. Anal. 55, No. 4, 3344-3394 (2023). MSC: 35J05 35P25 47A40 PDFBibTeX XMLCite \textit{J. Galkowski} et al., SIAM J. Math. Anal. 55, No. 4, 3344--3394 (2023; Zbl 1522.35164) Full Text: DOI arXiv
Spence, E. A.; Wunsch, J. Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification. (English) Zbl 1519.35073 SIAM/ASA J. Uncertain. Quantif. 11, 567-590 (2023). MSC: 35J05 35R60 PDFBibTeX XMLCite \textit{E. A. Spence} and \textit{J. Wunsch}, SIAM/ASA J. Uncertain. Quantif. 11, 567--590 (2023; Zbl 1519.35073) Full Text: DOI arXiv
Gong, Shihua; Graham, Ivan G.; Spence, Euan A. Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. (English) Zbl 1500.35105 Math. Comput. 92, No. 339, 175-215 (2023). MSC: 35J05 65N30 PDFBibTeX XMLCite \textit{S. Gong} et al., Math. Comput. 92, No. 339, 175--215 (2023; Zbl 1500.35105) Full Text: DOI arXiv
Gong, Shihua; Gander, Martin J.; Graham, Ivan G.; Lafontaine, David; Spence, Euan A. Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. (English) Zbl 1497.65252 Numer. Math. 152, No. 2, 259-306 (2022). MSC: 65N55 65N22 65F08 65F10 65Y05 35J05 PDFBibTeX XMLCite \textit{S. Gong} et al., Numer. Math. 152, No. 2, 259--306 (2022; Zbl 1497.65252) Full Text: DOI arXiv
Lafontaine, D.; Spence, E. A.; Wunsch, J. Wavenumber-explicit convergence of the \(hp\)-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. (English) Zbl 1504.65257 Comput. Math. Appl. 113, 59-69 (2022). MSC: 65N30 PDFBibTeX XMLCite \textit{D. Lafontaine} et al., Comput. Math. Appl. 113, 59--69 (2022; Zbl 1504.65257) Full Text: DOI arXiv
Chang, Zhipeng; Li, Ke; Zou, Xiufen; Xiang, Xueshuang High order deep neural network for solving high frequency partial differential equations. (English) Zbl 07493166 Commun. Comput. Phys. 31, No. 2, 370-397 (2022). MSC: 65N99 68T07 PDFBibTeX XMLCite \textit{Z. Chang} et al., Commun. Comput. Phys. 31, No. 2, 370--397 (2022; Zbl 07493166) Full Text: DOI
Galkowski, Jeffrey; Marchand, Pierre; Spence, Euan A. Eigenvalues of the truncated Helmholtz solution operator under strong trapping. (English) Zbl 1480.35111 SIAM J. Math. Anal. 53, No. 6, 6724-6770 (2021). MSC: 35J05 35P15 65N30 PDFBibTeX XMLCite \textit{J. Galkowski} et al., SIAM J. Math. Anal. 53, No. 6, 6724--6770 (2021; Zbl 1480.35111) Full Text: DOI arXiv