Wei, Yuxiao; Cheng, Jin; Burridge, Robert; Qian, Jianliang Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. (English) Zbl 07811323 J. Comput. Phys. 497, Article ID 112637, 36 p. (2024). MSC: 65Nxx 65Mxx 78Axx PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Comput. Phys. 497, Article ID 112637, 36 p. (2024; Zbl 07811323) Full Text: DOI arXiv
Bruno, Oscar P.; Yin, Tao Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains. (English) Zbl 07782512 Math. Comput. 93, No. 346, 551-587 (2024). MSC: 65R20 35L05 65M80 65T99 PDFBibTeX XMLCite \textit{O. P. Bruno} and \textit{T. Yin}, Math. Comput. 93, No. 346, 551--587 (2024; Zbl 07782512) Full Text: DOI arXiv
Du, Yu; Wu, Haijun Iterative pure source transfer domain decomposition methods for Helmholtz equations in heterogeneous media. (English) Zbl 07787320 Commun. Comput. Phys. 34, No. 5, 1247-1276 (2023). MSC: 65N55 65F10 65F08 65Y05 65Y20 65N30 78A40 PDFBibTeX XMLCite \textit{Y. Du} and \textit{H. Wu}, Commun. Comput. Phys. 34, No. 5, 1247--1276 (2023; Zbl 07787320) Full Text: DOI
Feng, Qiwei; Han, Bin; Michelle, Michelle Sixth-order compact finite difference method for 2D Helmholtz equations with singular sources and reduced pollution effect. (English) Zbl 07783557 Commun. Comput. Phys. 34, No. 3, 672-712 (2023). MSC: 65N06 35J05 PDFBibTeX XMLCite \textit{Q. Feng} et al., Commun. Comput. Phys. 34, No. 3, 672--712 (2023; Zbl 07783557) Full Text: DOI arXiv
Li, Ruo; Liu, Qicheng; Yang, Fanyi A discontinuous least squares finite element method for the Helmholtz equation. (English) Zbl 07776969 Numer. Methods Partial Differ. Equations 39, No. 2, 1425-1448 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1425--1448 (2023; Zbl 07776969) Full Text: DOI arXiv
Zhang, Chao; Fu, Zhuojia; Zhang, Yaoming A novel high-order collocation indirect boundary element method based on the Leis formulation for three-dimensional high frequency exterior acoustic problems. (English) Zbl 07769179 Int. J. Numer. Methods Eng. 124, No. 3, 670-695 (2023). MSC: 65Nxx 74Sxx 74Jxx PDFBibTeX XMLCite \textit{C. Zhang} et al., Int. J. Numer. Methods Eng. 124, No. 3, 670--695 (2023; Zbl 07769179) Full Text: DOI
Amlani, Faisal; Wei, Heng; Pahlevan, Niema M. A Fourier-based methodology without numerical diffusion for conducting dye simulations and particle residence time calculations. (English) Zbl 07748058 J. Comput. Phys. 493, Article ID 112472, 20 p. (2023). MSC: 65Mxx 76Mxx 76Zxx PDFBibTeX XMLCite \textit{F. Amlani} et al., J. Comput. Phys. 493, Article ID 112472, 20 p. (2023; Zbl 07748058) 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
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
Luo, Songting; Liu, Qing Huo A fixed-point iteration method for high frequency vector wave equations. (English) Zbl 07715236 J. Comput. Phys. 490, Article ID 112306, 21 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{S. Luo} and \textit{Q. H. Liu}, J. Comput. Phys. 490, Article ID 112306, 21 p. (2023; Zbl 07715236) Full Text: DOI
Liu, Yang; Song, Jian; Burridge, Robert; Qian, Jianliang A fast butterfly-compressed Hadamard-Babich integrator for high-frequency Helmholtz equations in inhomogeneous media with arbitrary sources. (English) Zbl 1524.65193 Multiscale Model. Simul. 21, No. 1, 269-308 (2023). MSC: 65F50 35J05 65R10 65R20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Multiscale Model. Simul. 21, No. 1, 269--308 (2023; Zbl 1524.65193) Full Text: DOI arXiv
Li, Buyang; Li, Yonglin; Zheng, Weiying A new perfectly matched layer method for the Helmholtz equation in nonconvex domains. (English) Zbl 1515.65294 SIAM J. Appl. Math. 83, No. 2, 666-694 (2023). MSC: 65N30 65N12 65N15 35J05 78A40 78M10 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Appl. Math. 83, No. 2, 666--694 (2023; Zbl 1515.65294) Full Text: DOI
Qian, Jianliang; Song, Jian; Lu, Wangtao; Burridge, Robert Truncated Hadamard-Babich ansatz and fast Huygens sweeping methods for time-harmonic elastic wave equations in inhomogeneous media in the asymptotic regime. (English) Zbl 1516.78001 Minimax Theory Appl. 8, No. 1, 171-212 (2023). MSC: 78A05 78A46 78M35 PDFBibTeX XMLCite \textit{J. Qian} et al., Minimax Theory Appl. 8, No. 1, 171--212 (2023; Zbl 1516.78001) Full Text: Link
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
Duan, Songyao; Wu, Haijun Adaptive FEM for Helmholtz equation with large wavenumber. (English) Zbl 1504.65253 J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023). MSC: 65N30 65N12 65N15 35J05 78A40 PDFBibTeX XMLCite \textit{S. Duan} and \textit{H. Wu}, J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023; Zbl 1504.65253) Full Text: DOI arXiv
Li, Di; Liu, Min; Lu, Xiliang; Yang, Jerry Zhijian The discontinuous Galerkin method by patch reconstruction for Helmholtz problems. (English) Zbl 1513.35144 Adv. Appl. Math. Mech. 15, No. 1, 30-48 (2023). MSC: 35J05 65N30 PDFBibTeX XMLCite \textit{D. Li} et al., Adv. Appl. Math. Mech. 15, No. 1, 30--48 (2023; Zbl 1513.35144) Full Text: DOI
Benatia, N.; El Kacimi, A.; Laghrouche, O.; El Alaoui Talibi, M.; Trevelyan, J. Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics. (English) Zbl 1525.65119 Appl. Math. Modelling 102, 115-136 (2022). MSC: 65N30 74J05 74S05 PDFBibTeX XMLCite \textit{N. Benatia} et al., Appl. Math. Modelling 102, 115--136 (2022; Zbl 1525.65119) Full Text: DOI
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
Luo, Songting; Liu, Qing Huo A fixed-point iteration method for high frequency Helmholtz equations. (English) Zbl 1503.65298 J. Sci. Comput. 93, No. 3, Paper No. 74, 18 p. (2022). MSC: 65N30 65N35 35J05 35B05 47H10 PDFBibTeX XMLCite \textit{S. Luo} and \textit{Q. H. Liu}, J. Sci. Comput. 93, No. 3, Paper No. 74, 18 p. (2022; Zbl 1503.65298) 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
Jiang, Run; Li, Yonglin; Wu, Haijun; Zou, Jun Finite element method for a nonlinear perfectly matched layer Helmholtz equation with high wave number. (English) Zbl 1502.65204 SIAM J. Numer. Anal. 60, No. 5, 2866-2896 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65H10 65N12 65N15 78A40 78A45 78A60 35Q60 35A01 35A02 PDFBibTeX XMLCite \textit{R. Jiang} et al., SIAM J. Numer. Anal. 60, No. 5, 2866--2896 (2022; Zbl 1502.65204) Full Text: DOI arXiv
Wu, Tingting; Xu, Yuesheng Inverting incomplete Fourier transforms by a sparse regularization model and applications in seismic wavefield modeling. (English) Zbl 1496.65244 J. Sci. Comput. 92, No. 2, Paper No. 48, 35 p. (2022). MSC: 65T50 42B10 62H05 86A60 94A08 PDFBibTeX XMLCite \textit{T. Wu} and \textit{Y. Xu}, J. Sci. Comput. 92, No. 2, Paper No. 48, 35 p. (2022; Zbl 1496.65244) Full Text: DOI arXiv
Gao, Yijin; Mayfield, Jay; Bao, Gang; Liu, Di; Luo, Songting An asymptotic Green’s function method for time-dependent Schrödinger equations with application to Kohn-Sham equations. (English) Zbl 07536771 J. Comput. Phys. 463, Article ID 111272, 21 p. (2022). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Comput. Phys. 463, Article ID 111272, 21 p. (2022; Zbl 07536771) Full Text: DOI
Qu, Jue; Dang, Sina; Li, Yancheng; Chai, Yingbin Analysis of the interior acoustic wave propagation problems using the modified radial point interpolation method (M-RPIM). (English) Zbl 1521.76753 Eng. Anal. Bound. Elem. 138, 339-368 (2022). MSC: 76M99 65M70 76Q05 PDFBibTeX XMLCite \textit{J. Qu} et al., Eng. Anal. Bound. Elem. 138, 339--368 (2022; Zbl 1521.76753) Full Text: DOI
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
North, Evan; Tsynkov, Semyon; Turkel, Eli Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. (English) Zbl 1484.35163 Appl. Numer. Math. 173, 51-78 (2022). MSC: 35J05 65N55 65N06 65N30 PDFBibTeX XMLCite \textit{E. North} et al., Appl. Numer. Math. 173, 51--78 (2022; Zbl 1484.35163) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Lafontaine} et al., Numer. Math. 150, No. 1, 137--178 (2022; Zbl 1481.35136) Full Text: DOI arXiv
Mayfield, Jay; Gao, Yijin; Luo, Songting An asymptotic Green’s function method for the wave equation. (English) Zbl 07516465 J. Comput. Phys. 446, Article ID 110655, 19 p. (2021). MSC: 65Mxx 65Nxx 81Qxx PDFBibTeX XMLCite \textit{J. Mayfield} et al., J. Comput. Phys. 446, Article ID 110655, 19 p. (2021; Zbl 07516465) Full Text: DOI
Jacobs, Matthew; Luo, Songting Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation. (English) Zbl 07505953 J. Comput. Phys. 438, Article ID 110357, 18 p. (2021). MSC: 65Nxx 65Mxx 35Fxx PDFBibTeX XMLCite \textit{M. Jacobs} and \textit{S. Luo}, J. Comput. Phys. 438, Article ID 110357, 18 p. (2021; Zbl 07505953) Full Text: DOI
Cheng, Dongsheng; Chen, Jianjun; Long, Guangqing An optimal fourth-order finite difference scheme for the Helmholtz equation based on the technique of matched interface boundary. (English) Zbl 1486.65222 Discrete Dyn. Nat. Soc. 2021, Article ID 2539272, 16 p. (2021). MSC: 65N06 35J05 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{D. Cheng} et al., Discrete Dyn. Nat. Soc. 2021, Article ID 2539272, 16 p. (2021; Zbl 1486.65222) Full Text: DOI
Gao, Yijin; Mayfield, Jay; Luo, Songting A second-order fast Huygens sweeping method for time-dependent Schrödinger equations with perfectly matched layers. (English) Zbl 1490.65230 J. Sci. Comput. 88, No. 3, Paper No. 49, 26 p. (2021). MSC: 65M80 41A60 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Sci. Comput. 88, No. 3, Paper No. 49, 26 p. (2021; Zbl 1490.65230) Full Text: DOI
Han, Bin; Michelle, Michelle; Wong, Yau Shu Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers. (English) Zbl 1524.35159 Comput. Math. Appl. 97, 416-438 (2021). MSC: 35J05 65N06 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{B. Han} et al., Comput. Math. Appl. 97, 416--438 (2021; Zbl 1524.35159) Full Text: DOI arXiv
Zhu, Bingxin; Wu, Haijun Preasymptotic error analysis of the HDG method for Helmholtz equation with large wave number. (English) Zbl 1471.65177 J. Sci. Comput. 87, No. 2, Paper No. 63, 34 p. (2021). MSC: 65N12 65N15 65N30 78A40 35J05 PDFBibTeX XMLCite \textit{B. Zhu} and \textit{H. Wu}, J. Sci. Comput. 87, No. 2, Paper No. 63, 34 p. (2021; Zbl 1471.65177) Full Text: DOI
Wu, Tingting; Sun, Yuran; Cheng, Dongsheng A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver. (English) Zbl 1457.76112 Appl. Numer. Math. 161, 348-371 (2021). MSC: 76M20 76Q05 65N12 PDFBibTeX XMLCite \textit{T. Wu} et al., Appl. Numer. Math. 161, 348--371 (2021; Zbl 1457.76112) Full Text: DOI
Wu, Tingting; Shen, Lixin; Xu, Yuesheng Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling. (English) Zbl 1456.86011 J. Comput. Appl. Math. 385, Article ID 113208, 20 p. (2021). MSC: 86A60 42B10 86-08 PDFBibTeX XMLCite \textit{T. Wu} et al., J. Comput. Appl. Math. 385, Article ID 113208, 20 p. (2021; Zbl 1456.86011) Full Text: DOI
Zhu, Lingxue; Zhou, Zhenhua Convergence and quasi-optimality of an adaptive continuous interior multi-penalty finite element method. (English) Zbl 1480.65352 Int. J. Comput. Math. 97, No. 9, 1884-1907 (2020). MSC: 65N30 65N12 65N15 78A40 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Z. Zhou}, Int. J. Comput. Math. 97, No. 9, 1884--1907 (2020; Zbl 1480.65352) Full Text: DOI
Biazar, Jafar; Asayesh, Roxana An efficient high-order compact finite difference method for the Helmholtz equation. (English) Zbl 1474.65269 Comput. Methods Differ. Equ. 8, No. 3, 553-563 (2020). MSC: 65M06 65F05 65T50 35J05 PDFBibTeX XMLCite \textit{J. Biazar} and \textit{R. Asayesh}, Comput. Methods Differ. Equ. 8, No. 3, 553--563 (2020; Zbl 1474.65269) Full Text: DOI
Gordon, Dan; Gordon, Rachel CADD: a seamless solution to the domain decomposition problem of subdomain boundaries and cross-points. (English) Zbl 1524.65921 Wave Motion 98, Article ID 102649, 11 p. (2020). MSC: 65N55 35J05 PDFBibTeX XMLCite \textit{D. Gordon} and \textit{R. Gordon}, Wave Motion 98, Article ID 102649, 11 p. (2020; Zbl 1524.65921) Full Text: DOI
Zhao, Lina; Park, Eun-Jae; Chung, Eric T. Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1524.65882 Comput. Math. Appl. 80, No. 12, 2676-2690 (2020). MSC: 65N30 65N15 65N12 35J05 76M10 78A40 35Q60 65N50 78M10 76Q05 PDFBibTeX XMLCite \textit{L. Zhao} et al., Comput. Math. Appl. 80, No. 12, 2676--2690 (2020; Zbl 1524.65882) Full Text: DOI arXiv
Du, Yu; Wu, Haijun A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain. (English) Zbl 1509.65130 J. Sci. Comput. 83, No. 3, Paper No. 68, 29 p. (2020). MSC: 65N55 65N30 65N12 65N15 65F10 65F08 35J05 78A45 35Q60 PDFBibTeX XMLCite \textit{Y. Du} and \textit{H. Wu}, J. Sci. Comput. 83, No. 3, Paper No. 68, 29 p. (2020; Zbl 1509.65130) Full Text: DOI arXiv
Casati, Daniele; Hiptmair, Ralf Coupling FEM with a multiple-subdomain Trefftz method. (English) Zbl 1447.35130 J. Sci. Comput. 82, No. 3, Paper No. 74, 23 p. (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35J15 35P25 35Q61 65K10 65N30 65Z05 78A45 78M10 78M16 PDFBibTeX XMLCite \textit{D. Casati} and \textit{R. Hiptmair}, J. Sci. Comput. 82, No. 3, Paper No. 74, 23 p. (2020; Zbl 1447.35130) Full Text: DOI
Drake, D.; Gopalakrishnan, J.; Goswami, T.; Grosek, J. Simulation of optical fiber amplifier gain using equivalent short fibers. (English) Zbl 1441.78002 Comput. Methods Appl. Mech. Eng. 360, Article ID 112698, 18 p. (2020). MSC: 78A25 78A60 PDFBibTeX XMLCite \textit{D. Drake} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112698, 18 p. (2020; Zbl 1441.78002) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} et al., SIAM J. Math. Anal. 52, No. 1, 845--893 (2020; Zbl 1431.35020) Full Text: DOI arXiv
Du, Yu; Wu, Haijun; Zhang, Zhimin Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number. (English) Zbl 1434.65251 J. Comput. Appl. Math. 372, Article ID 112731, 16 p. (2020). MSC: 65N30 65N15 65N12 35J05 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Comput. Appl. Math. 372, Article ID 112731, 16 p. (2020; Zbl 1434.65251) Full Text: DOI
Cao, Haitao; Wu, Haijun IPCDGM and multiscale IPDPGM for the Helmholtz problem with large wave number. (English) Zbl 1440.65189 J. Comput. Appl. Math. 369, Article ID 112590, 19 p. (2020). MSC: 65N30 65N15 35J05 76Q05 PDFBibTeX XMLCite \textit{H. Cao} and \textit{H. Wu}, J. Comput. Appl. Math. 369, Article ID 112590, 19 p. (2020; Zbl 1440.65189) Full Text: DOI
Zhu, Lingxue; Zhou, Zhenhua Convergence and quasi-optimality of an adaptive continuous interior penalty finite element method. (English) Zbl 1488.65683 Adv. Appl. Math. Mech. 11, No. 2, 428-451 (2019). MSC: 65N30 65N12 65N15 78A40 35J15 35J05 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Z. Zhou}, Adv. Appl. Math. Mech. 11, No. 2, 428--451 (2019; Zbl 1488.65683) Full Text: DOI
El Kacimi, A.; Laghrouche, O.; Ouazar, D.; Mohamed, M. S.; Seaid, M.; Trevelyan, J. Enhanced conformal perfectly matched layers for Bernstein-Bézier finite element modelling of short wave scattering. (English) Zbl 1441.78014 Comput. Methods Appl. Mech. Eng. 355, 614-638 (2019). MSC: 78A45 78M10 65N30 PDFBibTeX XMLCite \textit{A. El Kacimi} et al., Comput. Methods Appl. Mech. Eng. 355, 614--638 (2019; Zbl 1441.78014) Full Text: DOI
El Kacimi, A.; Laghrouche, O.; Mohamed, M. S.; Trevelyan, J. Bernstein-Bézier based finite elements for efficient solution of short wave problems. (English) Zbl 1440.74391 Comput. Methods Appl. Mech. Eng. 343, 166-185 (2019). MSC: 74S05 65N30 74J05 PDFBibTeX XMLCite \textit{A. El Kacimi} et al., Comput. Methods Appl. Mech. Eng. 343, 166--185 (2019; Zbl 1440.74391) Full Text: DOI Link
Jacobs, Matthew; Luo, Songting Asymptotic solutions for high frequency Helmholtz equations in anisotropic media with Hankel functions. (English) Zbl 1418.65155 J. Sci. Comput. 80, No. 2, 808-833 (2019). MSC: 65N06 41A60 PDFBibTeX XMLCite \textit{M. Jacobs} and \textit{S. Luo}, J. Sci. Comput. 80, No. 2, 808--833 (2019; Zbl 1418.65155) Full Text: DOI
Du, Yu; Zhang, Zhimin Supercloseness of linear DG-FEM and its superconvergence based on the polynomial preserving recovery for Helmholtz equation. (English) Zbl 1422.65349 J. Sci. Comput. 79, No. 3, 1713-1736 (2019). MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Zhang}, J. Sci. Comput. 79, No. 3, 1713--1736 (2019; Zbl 1422.65349) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Galkowski} et al., Numer. Math. 142, No. 2, 329--357 (2019; Zbl 1414.35054) Full Text: DOI arXiv
Luo, Songting Fast Huygens sweeping methods for time-dependent Schrödinger equation with perfectly matched layers. (English) Zbl 1411.65142 SIAM J. Sci. Comput. 41, No. 2, A877-A899 (2019). MSC: 65M80 41A60 PDFBibTeX XMLCite \textit{S. Luo}, SIAM J. Sci. Comput. 41, No. 2, A877--A899 (2019; Zbl 1411.65142) Full Text: DOI
Diwan, Ganesh C.; Moiola, Andrea; Spence, Euan A. Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? (English) Zbl 1410.65445 J. Comput. Appl. Math. 352, 110-131 (2019). MSC: 65N30 35J05 65F10 PDFBibTeX XMLCite \textit{G. C. Diwan} et al., J. Comput. Appl. Math. 352, 110--131 (2019; Zbl 1410.65445) Full Text: DOI arXiv
Xu, Ruimin; Wu, Tingting Finite volume method for solving the stochastic Helmholtz equation. (English) Zbl 1458.35491 Adv. Difference Equ. 2019, Paper No. 84, 26 p. (2019). MSC: 35R60 65N30 65C30 65N15 65N12 PDFBibTeX XMLCite \textit{R. Xu} and \textit{T. Wu}, Adv. Difference Equ. 2019, Paper No. 84, 26 p. (2019; Zbl 1458.35491) Full Text: DOI
Li, Junpu; Chen, Wen; Qin, Qinghua A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis. (English) Zbl 1440.65262 Comput. Methods Appl. Mech. Eng. 340, 121-146 (2018). MSC: 65N38 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 340, 121--146 (2018; Zbl 1440.65262) Full Text: DOI
Magoulès, Frédéric; Zhang, Hanyu Three-dimensional dispersion analysis and stabilized finite element methods for acoustics. (English) Zbl 1440.74425 Comput. Methods Appl. Mech. Eng. 335, 563-583 (2018). MSC: 74S05 65N30 65N12 74J05 PDFBibTeX XMLCite \textit{F. Magoulès} and \textit{H. Zhang}, Comput. Methods Appl. Mech. Eng. 335, 563--583 (2018; Zbl 1440.74425) Full Text: DOI
Li, Junpu; Chen, Wen A modified singular boundary method for three-dimensional high frequency acoustic wave problems. (English) Zbl 1480.74151 Appl. Math. Modelling 54, 189-201 (2018). MSC: 74J05 65N80 PDFBibTeX XMLCite \textit{J. Li} and \textit{W. Chen}, Appl. Math. Modelling 54, 189--201 (2018; Zbl 1480.74151) Full Text: DOI
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. (English) Zbl 1415.65255 J. Comput. Phys. 371, 261-279 (2018). MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{J. Fang} et al., J. Comput. Phys. 371, 261--279 (2018; Zbl 1415.65255) Full Text: DOI arXiv
Wu, Tingting; Xu, Ruimin An optimal compact sixth-order finite difference scheme for the Helmholtz equation. (English) Zbl 1409.78008 Comput. Math. Appl. 75, No. 7, 2520-2537 (2018). MSC: 78M20 65N06 65N12 PDFBibTeX XMLCite \textit{T. Wu} and \textit{R. Xu}, Comput. Math. Appl. 75, No. 7, 2520--2537 (2018; Zbl 1409.78008) Full Text: DOI
Li, Junpu; Chen, Wen; Fu, Zhuojia A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation. (English) Zbl 1459.65229 Comput. Mech. 62, No. 4, 893-907 (2018). MSC: 65N38 74H45 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Mech. 62, No. 4, 893--907 (2018; Zbl 1459.65229) Full Text: DOI
Lu, Wangtao; Qian, Jianliang; Burridge, Robert Extending Babich’s ansatz for point-source Maxwell’s equations using Hadamard’s method. (English) Zbl 1448.65242 Multiscale Model. Simul. 16, No. 2, 727-751 (2018). MSC: 65N30 65M60 78A25 35Q61 78M10 PDFBibTeX XMLCite \textit{W. Lu} et al., Multiscale Model. Simul. 16, No. 2, 727--751 (2018; Zbl 1448.65242) Full Text: DOI
Wu, Haijun; Zou, Jun Finite element method and its analysis for a nonlinear Helmholtz equation with high wave numbers. (English) Zbl 1393.65047 SIAM J. Numer. Anal. 56, No. 3, 1338-1359 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N15 65N12 65N30 78A40 35J05 PDFBibTeX XMLCite \textit{H. Wu} and \textit{J. Zou}, SIAM J. Numer. Anal. 56, No. 3, 1338--1359 (2018; Zbl 1393.65047) Full Text: DOI
Hwang, Feng-Nan; Su, Yi-Zhen; Yao, Chien-Chou An iteratively adaptive multiscale finite element method for elliptic interface problems. (English) Zbl 1382.65404 Appl. Numer. Math. 127, 211-225 (2018). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{F.-N. Hwang} et al., Appl. Numer. Math. 127, 211--225 (2018; Zbl 1382.65404) Full Text: DOI
Du, Yu; Zhang, Zhimin A numerical analysis of the weak Galerkin method for the Helmholtz equation with high wave number. (English) Zbl 1488.65610 Commun. Comput. Phys. 22, No. 1, 133-156 (2017). MSC: 65N30 65N12 65N15 78A40 35J05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Zhang}, Commun. Comput. Phys. 22, No. 1, 133--156 (2017; Zbl 1488.65610) Full Text: DOI
Wang, Kun; Wong, Yau Shu Is pollution effect of finite difference schemes avoidable for multi-dimensional Helmholtz equations with high wave numbers? (English) Zbl 1488.65562 Commun. Comput. Phys. 21, No. 2, 490-514 (2017). MSC: 65N06 65N15 65N22 65F05 35J05 78A50 35Q60 PDFBibTeX XMLCite \textit{K. Wang} and \textit{Y. S. Wong}, Commun. Comput. Phys. 21, No. 2, 490--514 (2017; Zbl 1488.65562) Full Text: DOI
Ohlberger, Mario; Verfürth, Barbara Localized orthogonal decomposition for two-scale Helmholtz-type problems. (English) Zbl 1427.65374 AIMS Math. 2, No. 3, 458-478 (2017). MSC: 65N30 65N12 65N15 35J05 35B27 78M40 78M10 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{B. Verfürth}, AIMS Math. 2, No. 3, 458--478 (2017; Zbl 1427.65374) Full Text: DOI arXiv
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. (English) Zbl 1425.35016 Res. Math. Sci. 4, Paper No. 9, 35 p. (2017). MSC: 35J05 35J25 65N30 PDFBibTeX XMLCite \textit{J. Fang} et al., Res. Math. Sci. 4, Paper No. 9, 35 p. (2017; Zbl 1425.35016) Full Text: DOI arXiv
Wang, Kun; Wong, Yau Shu; Huang, Jizu Solving Helmholtz equation at high wave numbers in exterior domains. (English) Zbl 1411.78008 Appl. Math. Comput. 298, 221-235 (2017). MSC: 78M20 65N06 65N15 65N22 78A25 PDFBibTeX XMLCite \textit{K. Wang} et al., Appl. Math. Comput. 298, 221--235 (2017; Zbl 1411.78008) Full Text: DOI
Brown, Donald L.; Gallistl, Dietmar; Peterseim, Daniel Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations. (English) Zbl 1404.65252 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VIII. Selected contributions based on the presentations at the 8th international workshop, Bonn, Germany, September 7–9, 2015. Cham: Springer (ISBN 978-3-319-51953-1/hbk; 978-3-319-51954-8/ebook). Lecture Notes in Computational Science and Engineering 115, 85-115 (2017). MSC: 65N30 35J05 76Q05 65N12 PDFBibTeX XMLCite \textit{D. L. Brown} et al., Lect. Notes Comput. Sci. Eng. 115, 85--115 (2017; Zbl 1404.65252) Full Text: DOI arXiv Link
Han, Houde; Shih, Yintzer; Yin, Dongsheng Tailored finite point methods for solving singularly perturbed eigenvalue problems with higher eigenvalues. (English) Zbl 1380.65353 J. Sci. Comput. 73, No. 1, 242-282 (2017). Reviewer: Petr Sváček (Praha) MSC: 65N25 35P15 65N30 35B25 35J10 PDFBibTeX XMLCite \textit{H. Han} et al., J. Sci. Comput. 73, No. 1, 242--282 (2017; Zbl 1380.65353) Full Text: DOI
Cheng, Dongsheng; Tan, Xu; Zeng, Taishan A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting. (English) Zbl 1373.65077 Comput. Math. Appl. 73, No. 11, 2345-2359 (2017). MSC: 65N06 65N12 35J05 PDFBibTeX XMLCite \textit{D. Cheng} et al., Comput. Math. Appl. 73, No. 11, 2345--2359 (2017; Zbl 1373.65077) Full Text: DOI
Lahaye, D.; Vuik, C. How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. (English) Zbl 1366.65094 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 85-112 (2017). MSC: 65N06 35J05 65N55 65N12 65F08 PDFBibTeX XMLCite \textit{D. Lahaye} and \textit{C. Vuik}, in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 85--112 (2017; Zbl 1366.65094) Full Text: DOI
Wu, Tingting A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation. (English) Zbl 1352.65426 J. Comput. Appl. Math. 311, 497-512 (2017). MSC: 65N06 65N22 PDFBibTeX XMLCite \textit{T. Wu}, J. Comput. Appl. Math. 311, 497--512 (2017; Zbl 1352.65426) Full Text: DOI
Geng, Hongrui; Yin, Tao; Xu, Liwei A priori error estimates of the dtn-FEM for the transmission problem in acoustics. (English) Zbl 1353.35082 J. Comput. Appl. Math. 313, 1-17 (2017). MSC: 35B45 35A35 65N30 PDFBibTeX XMLCite \textit{H. Geng} et al., J. Comput. Appl. Math. 313, 1--17 (2017; Zbl 1353.35082) Full Text: DOI
Chen, Huangxin; Qiu, Weifeng A first order system least squares method for the Helmholtz equation. (English) Zbl 1347.65174 J. Comput. Appl. Math. 309, 145-162 (2017). MSC: 65N30 65L12 PDFBibTeX XMLCite \textit{H. Chen} and \textit{W. Qiu}, J. Comput. Appl. Math. 309, 145--162 (2017; Zbl 1347.65174) Full Text: DOI arXiv
Chai, Yingbin; Li, Wei; Li, Tianyun; Gong, Zhixiong; You, Xiangyu Analysis of underwater acoustic scattering problems using stable node-based smoothed finite element method. (English) Zbl 1403.76042 Eng. Anal. Bound. Elem. 72, 27-41 (2016). MSC: 76M10 65N30 76Q05 PDFBibTeX XMLCite \textit{Y. Chai} et al., Eng. Anal. Bound. Elem. 72, 27--41 (2016; Zbl 1403.76042) Full Text: DOI
Feng, Xiaobing; Lorton, Cody An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency. (English) Zbl 1368.78135 J. Sci. Comput. 69, No. 2, 841-865 (2016). MSC: 78M10 65N12 65N15 65N30 78A40 PDFBibTeX XMLCite \textit{X. Feng} and \textit{C. Lorton}, J. Sci. Comput. 69, No. 2, 841--865 (2016; Zbl 1368.78135) Full Text: DOI arXiv
Chaumont-Frelet, Théophile On high order methods for the heterogeneous Helmholtz equation. (English) Zbl 1368.78131 Comput. Math. Appl. 72, No. 9, 2203-2225 (2016). MSC: 78M10 65L60 65L10 35J05 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet}, Comput. Math. Appl. 72, No. 9, 2203--2225 (2016; Zbl 1368.78131) Full Text: DOI
Peterseim, Daniel Variational multiscale stabilization and the exponential decay of fine-scale correctors. (English) Zbl 1357.65265 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 343-369 (2016). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{D. Peterseim}, Lect. Notes Comput. Sci. Eng. 114, 343--369 (2016; Zbl 1357.65265) Full Text: DOI arXiv
Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C. Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. (English) Zbl 1352.65456 J. Comput. Phys. 322, 473-490 (2016). MSC: 65N22 65F08 PDFBibTeX XMLCite \textit{A. H. Sheikh} et al., J. Comput. Phys. 322, 473--490 (2016; Zbl 1352.65456) Full Text: DOI
Lu, Wangtao; Qian, Jianliang; Burridge, Robert Babich-like ansatz for three-dimensional point-source Maxwell’s equations in an inhomogeneous medium at high frequencies. (English) Zbl 1352.65527 Multiscale Model. Simul. 14, No. 3, 1089-1122 (2016). MSC: 65N30 65M60 PDFBibTeX XMLCite \textit{W. Lu} et al., Multiscale Model. Simul. 14, No. 3, 1089--1122 (2016; Zbl 1352.65527) Full Text: DOI
Lu, Wangtao; Qian, Jianliang; Burridge, Robert Babich’s expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. (English) Zbl 1349.65691 J. Comput. Phys. 313, 478-510 (2016). MSC: 65N99 35J25 PDFBibTeX XMLCite \textit{W. Lu} et al., J. Comput. Phys. 313, 478--510 (2016; Zbl 1349.65691) Full Text: DOI
Chen, Wenbin; Liu, Yongxiang; Xu, Xuejun A robust domain decomposition method for the Helmholtz equation with high wave number. (English) Zbl 1361.65093 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 921-944 (2016). Reviewer: Jan Mandel (Denver) MSC: 65N55 35J05 65F10 65N06 65N12 PDFBibTeX XMLCite \textit{W. Chen} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 921--944 (2016; Zbl 1361.65093) Full Text: DOI
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro A plane wave virtual element method for the Helmholtz problem. (English) Zbl 1343.65137 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 783-808 (2016). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{I. Perugia} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 783--808 (2016; Zbl 1343.65137) Full Text: DOI arXiv
Du, Yu; Zhu, Lingxue Preasymptotic error analysis of high order interior penalty discontinuous Galerkin methods for the Helmholtz equation with high wave number. (English) Zbl 1353.65112 J. Sci. Comput. 67, No. 1, 130-152 (2016). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{L. Zhu}, J. Sci. Comput. 67, No. 1, 130--152 (2016; Zbl 1353.65112) Full Text: DOI
Qian, Jianliang; Lu, Wangtao; Yuan, Lijun; Luo, Songting; Burridge, Robert Eulerian geometrical optics and fast Huygens sweeping methods for three-dimensional time-harmonic high-frequency Maxwell’s equations in inhomogeneous media. (English) Zbl 1338.65251 Multiscale Model. Simul. 14, No. 2, 595-636 (2016). MSC: 65N30 65M60 PDFBibTeX XMLCite \textit{J. Qian} et al., Multiscale Model. Simul. 14, No. 2, 595--636 (2016; Zbl 1338.65251) Full Text: DOI
Cheng, Dongsheng; Liu, Zhiyong; Wu, Tingting A multigrid-based preconditioned solver for the Helmholtz equation with a discretization by 25-point difference scheme. (English) Zbl 07313394 Math. Comput. Simul. 117, 54-67 (2015). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{D. Cheng} et al., Math. Comput. Simul. 117, 54--67 (2015; Zbl 07313394) Full Text: DOI
Zhu, Lingxue; Du, Yu Pre-asymptotic error analysis of \(hp\)-interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1443.65385 Comput. Math. Appl. 70, No. 5, 917-933 (2015). MSC: 65N30 65N12 65N15 78M99 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Y. Du}, Comput. Math. Appl. 70, No. 5, 917--933 (2015; Zbl 1443.65385) Full Text: DOI
Darrigrand, Vincent; Pardo, David; Muga, Ignacio Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation. (English) Zbl 1443.65322 Comput. Math. Appl. 69, No. 9, 964-979 (2015). MSC: 65N30 65N50 78A25 PDFBibTeX XMLCite \textit{V. Darrigrand} et al., Comput. Math. Appl. 69, No. 9, 964--979 (2015; Zbl 1443.65322) Full Text: DOI
Gallistl, D.; Peterseim, D. Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering. (English) Zbl 1423.76231 Comput. Methods Appl. Mech. Eng. 295, 1-17 (2015). MSC: 76M10 65N30 35J05 65N12 65N15 76Q05 PDFBibTeX XMLCite \textit{D. Gallistl} and \textit{D. Peterseim}, Comput. Methods Appl. Mech. Eng. 295, 1--17 (2015; Zbl 1423.76231) Full Text: DOI arXiv
Atak, Onur; Jonckheere, Stijn; Deckers, Elke; Huybrechs, Daan; Pluymers, Bert; Desmet, Wim A hybrid boundary element-wave based method for an efficient solution of bounded acoustic problems with inclusions. (English) Zbl 1423.74942 Comput. Methods Appl. Mech. Eng. 283, 1260-1277 (2015). MSC: 74S15 65N38 74J20 PDFBibTeX XMLCite \textit{O. Atak} et al., Comput. Methods Appl. Mech. Eng. 283, 1260--1277 (2015; Zbl 1423.74942) Full Text: DOI Link
Kuo, Chung-Lun; Yeih, Weichung; Liu, Chein-Shan; Chang, Jiang-Ren Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method. (English) Zbl 1403.65165 Eng. Anal. Bound. Elem. 61, 145-152 (2015). MSC: 65N35 65N21 PDFBibTeX XMLCite \textit{C.-L. Kuo} et al., Eng. Anal. Bound. Elem. 61, 145--152 (2015; Zbl 1403.65165) Full Text: DOI
Dogan, Hakan; Popov, Viktor; Ooi, Ean Hin Dispersion analysis of the meshless local boundary integral equation and radial basis integral equation methods for the Helmholtz equation. (English) Zbl 1403.65194 Eng. Anal. Bound. Elem. 50, 360-371 (2015). MSC: 65N38 65N35 PDFBibTeX XMLCite \textit{H. Dogan} et al., Eng. Anal. Bound. Elem. 50, 360--371 (2015; Zbl 1403.65194) Full Text: DOI
Imbert-Gérard, Lise-Marie Interpolation properties of generalized plane waves. (English) Zbl 1334.65027 Numer. Math. 131, No. 4, 683-711 (2015). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65D05 35L05 41A30 PDFBibTeX XMLCite \textit{L.-M. Imbert-Gérard}, Numer. Math. 131, No. 4, 683--711 (2015; Zbl 1334.65027) Full Text: DOI arXiv
Du, Yu; Wu, Haijun Preasymptotic error analysis of higher order FEM and CIP-FEM for Helmholtz equation with high wave number. (English) Zbl 1312.65189 SIAM J. Numer. Anal. 53, No. 2, 782-804 (2015). MSC: 65N30 65N12 65N15 78A40 PDFBibTeX XMLCite \textit{Y. Du} and \textit{H. Wu}, SIAM J. Numer. Anal. 53, No. 2, 782--804 (2015; Zbl 1312.65189) Full Text: DOI arXiv
Zhou, Zhenhua; Zhu, Lingxue Convergence analysis of an adaptive continuous interior penalty finite element method for the Helmholtz equation. (English) Zbl 1311.65153 J. Math. Anal. Appl. 426, No. 2, 1061-1079 (2015). MSC: 65N30 35J05 65N12 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{L. Zhu}, J. Math. Anal. Appl. 426, No. 2, 1061--1079 (2015; Zbl 1311.65153) Full Text: DOI
Wang, Kun; Wong, Yau Shu Pollution-free finite difference schemes for non-homogeneous Helmholtz equation. (English) Zbl 1499.65614 Int. J. Numer. Anal. Model. 11, No. 4, 787-815 (2014). MSC: 65N06 65N15 65N22 65N12 41A58 35J05 PDFBibTeX XMLCite \textit{K. Wang} and \textit{Y. S. Wong}, Int. J. Numer. Anal. Model. 11, No. 4, 787--815 (2014; Zbl 1499.65614) Full Text: Link
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 PDFBibTeX XMLCite \textit{Y. Boubendir} and \textit{C. Turc}, Comput. Math. Appl. 67, No. 10, 1772--1805 (2014; Zbl 1366.78023) Full Text: DOI
Barucq, Hélène; Djellouli, Rabia; Estecahandy, Elodie Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems. (English) Zbl 1352.74101 Int. J. Numer. Methods Eng. 98, No. 10, 747-780 (2014). MSC: 74F10 74S05 65N30 74J20 PDFBibTeX XMLCite \textit{H. Barucq} et al., Int. J. Numer. Methods Eng. 98, No. 10, 747--780 (2014; Zbl 1352.74101) Full Text: DOI
Luo, Songting; Qian, Jianliang; Burridge, Robert Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. (English) Zbl 1349.78051 J. Comput. Phys. 270, 378-401 (2014). MSC: 78A48 PDFBibTeX XMLCite \textit{S. Luo} et al., J. Comput. Phys. 270, 378--401 (2014; Zbl 1349.78051) Full Text: DOI