Cocquet, Pierre-Henri; Gander, Martin J. Asymptotic dispersion correction in general finite difference schemes for Helmholtz problems. (English) Zbl 07816748 SIAM J. Sci. Comput. 46, No. 2, A670-A696 (2024). MSC: 35J05 65N06 PDFBibTeX XMLCite \textit{P.-H. Cocquet} and \textit{M. J. Gander}, SIAM J. Sci. Comput. 46, No. 2, A670--A696 (2024; Zbl 07816748) Full Text: DOI
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
Lafontaine, David; Spence, Euan A. Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. (English) Zbl 07787350 Pure Appl. Anal. 5, No. 4, 927-972 (2023). MSC: 35J05 65N55 PDFBibTeX XMLCite \textit{D. Lafontaine} and \textit{E. A. Spence}, Pure Appl. Anal. 5, No. 4, 927--972 (2023; Zbl 07787350) Full Text: DOI arXiv
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
Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan Exponentially convergent multiscale methods for 2D high frequency heterogeneous Helmholtz equations. (English) Zbl 1518.65127 Multiscale Model. Simul. 21, No. 3, 849-883 (2023). MSC: 65N30 65N12 65N15 31A35 PDFBibTeX XMLCite \textit{Y. Chen} et al., Multiscale Model. Simul. 21, No. 3, 849--883 (2023; Zbl 1518.65127) Full Text: DOI arXiv
Galkowski, J.; Spence, E. A. Does the Helmholtz boundary element method suffer from the pollution effect? (English) Zbl 1522.65235 SIAM Rev. 65, No. 3, 806-828 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N30 65R20 35J05 33C10 78A40 78A45 78M15 35Q60 PDFBibTeX XMLCite \textit{J. Galkowski} and \textit{E. A. Spence}, SIAM Rev. 65, No. 3, 806--828 (2023; Zbl 1522.65235) Full Text: DOI arXiv
Chupeng, Ma; Alber, Christian; Scheichl, Robert Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. (English) Zbl 1517.65085 SIAM J. Numer. Anal. 61, No. 3, 1546-1584 (2023). MSC: 65M60 65N15 65M12 65N55 35J05 PDFBibTeX XMLCite \textit{M. Chupeng} et al., SIAM J. Numer. Anal. 61, No. 3, 1546--1584 (2023; Zbl 1517.65085) Full Text: DOI arXiv
Spence, E. A. A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. (English) Zbl 1514.35120 Adv. Comput. Math. 49, No. 2, Paper No. 27, 25 p. (2023). MSC: 35J05 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{E. A. Spence}, Adv. Comput. Math. 49, No. 2, Paper No. 27, 25 p. (2023; Zbl 1514.35120) Full Text: DOI arXiv
Chandler-Wilde, Simon N. (ed.); Dauge, Monique (ed.); Spence, Euan (ed.); Wunsch, Jared (ed.) At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 – October 1, 2022. (English) Zbl 1520.00023 Oberwolfach Rep. 19, No. 3, 2511-2587 (2022). MSC: 00B05 00B25 35-06 35Lxx 65K10 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} (ed.) et al., Oberwolfach Rep. 19, No. 3, 2511--2587 (2022; Zbl 1520.00023) Full Text: DOI
Lafontaine, David Decompositions of high-frequency Helmholtz solutions and application to the finite element method. (English) Zbl 07613353 Sémin. Laurent Schwartz, EDP Appl. 2021-2022, Exp. No. 16, 15 p. (2022). MSC: 65-XX 35J05 PDFBibTeX XMLCite \textit{D. Lafontaine}, Sémin. Laurent Schwartz, EDP Appl. 2021--2022, Exp. No. 16, 15 p. (2022; Zbl 07613353) Full Text: DOI