Alonso-Rodríguez, Ana; Camaño, Jessika; De Los Santos, Eduardo; Rodríguez, Rodolfo Divergence-free finite elements for the numerical solution of a hydroelastic vibration problem. (English) Zbl 07779704 Numer. Methods Partial Differ. Equations 39, No. 1, 163-186 (2023). MSC: 65N30 65N25 76D03 74F10 74B10 74H45 35A15 74S05 76M10 35Q74 35Q35 PDFBibTeX XMLCite \textit{A. Alonso-Rodríguez} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 163--186 (2023; Zbl 07779704) Full Text: DOI
Gui, Qiang; Li, Wei; Chai, Yingbin The enriched quadrilateral overlapping finite elements for time-harmonic acoustics. (English) Zbl 07701097 Appl. Math. Comput. 451, Article ID 128018, 22 p. (2023). MSC: 65Nxx 35Jxx 74Sxx PDFBibTeX XMLCite \textit{Q. Gui} et al., Appl. Math. Comput. 451, Article ID 128018, 22 p. (2023; Zbl 07701097) 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
Shaaban, Ahmed Mostafa; Anitescu, Cosmin; Atroshchenko, Elena; Alajlan, Naif; Rabczuk, Timon Numerical investigations with extended isogeometric boundary element analysis (XIBEM) for direct and inverse Helmholtz acoustic problems. (English) Zbl 1521.74353 Eng. Anal. Bound. Elem. 143, 535-546 (2022). MSC: 74S15 65N38 76Q05 74F10 76M15 PDFBibTeX XMLCite \textit{A. M. Shaaban} et al., Eng. Anal. Bound. Elem. 143, 535--546 (2022; Zbl 1521.74353) Full Text: DOI
Ma, Houbiao; Zhang, Yahui A coupling scheme based on the partition of unity finite element method-finite element method for 3D vibro-acoustic problems. (English) Zbl 1521.74234 Eng. Anal. Bound. Elem. 142, 117-137 (2022). MSC: 74S05 65N30 74H45 PDFBibTeX XMLCite \textit{H. Ma} and \textit{Y. Zhang}, Eng. Anal. Bound. Elem. 142, 117--137 (2022; Zbl 1521.74234) Full Text: DOI
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
Ayala, Tomás; Videla, Javier; Anitescu, Cosmin; Atroshchenko, Elena Enriched isogeometric collocation for two-dimensional time-harmonic acoustics. (English) Zbl 1442.74248 Comput. Methods Appl. Mech. Eng. 365, Article ID 113033, 31 p. (2020). MSC: 74S22 65N35 PDFBibTeX XMLCite \textit{T. Ayala} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113033, 31 p. (2020; Zbl 1442.74248) Full Text: DOI
Tsukerman, Igor; Mansha, Shampy; Chong, Yi Dong; Markel, Vadim A. Trefftz approximations in complex media: accuracy and applications. (English) Zbl 1442.65408 Comput. Math. Appl. 77, No. 6, 1770-1785 (2019). MSC: 65N35 74J20 78A45 PDFBibTeX XMLCite \textit{I. Tsukerman} et al., Comput. Math. Appl. 77, No. 6, 1770--1785 (2019; Zbl 1442.65408) Full Text: DOI arXiv
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
Malek, Mustapha; Izem, Nouh; Seaid, Mohammed; Mohamed, M. Shadi; Wakrim, Mohamed A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials. (English) Zbl 1438.65240 Comput. Appl. Math. 38, No. 2, Paper No. 31, 19 p. (2019). MSC: 65M60 35K59 74A40 80A19 80M10 PDFBibTeX XMLCite \textit{M. Malek} et al., Comput. Appl. Math. 38, No. 2, Paper No. 31, 19 p. (2019; Zbl 1438.65240) Full Text: DOI
Dinachandra, M.; Raju, Sethuraman Plane wave enriched partition of unity isogeometric analysis (PUIGA) for 2D-Helmholtz problems. (English) Zbl 1440.74389 Comput. Methods Appl. Mech. Eng. 335, 380-402 (2018). MSC: 74S05 65N30 65D07 74J20 PDFBibTeX XMLCite \textit{M. Dinachandra} and \textit{S. Raju}, Comput. Methods Appl. Mech. Eng. 335, 380--402 (2018; Zbl 1440.74389) Full Text: DOI
Brenner, Susanne C.; Çeşmelioǧlu, Ayçıl; Cui, Jintao; Sung, Li-Yeng A nonconforming finite element method for an acoustic fluid-structure interaction problem. (English) Zbl 1456.65148 Comput. Methods Appl. Math. 18, No. 3, 383-406 (2018). MSC: 65N25 65N30 74F10 74H15 76Q05 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 18, No. 3, 383--406 (2018; Zbl 1456.65148) Full Text: DOI
Banerjee, Subhajit; Sukumar, N. Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem. (English) Zbl 1439.78016 Comput. Methods Appl. Mech. Eng. 317, 619-648 (2017). MSC: 78M10 65N30 74J20 76Q05 76M10 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 317, 619--648 (2017; Zbl 1439.78016) Full Text: DOI
Mahmood, M. S.; Laghrouche, O.; Trevelyan, Jon; El Kacimi, A. Implementation and computational aspects of a 3D elastic wave modelling by PUFEM. (English) Zbl 1480.74158 Appl. Math. Modelling 49, 568-586 (2017). MSC: 74J10 74J20 PDFBibTeX XMLCite \textit{M. S. Mahmood} et al., Appl. Math. Modelling 49, 568--586 (2017; Zbl 1480.74158) Full Text: DOI
Li, Hao; Ladeveze, Pierre; Riou, Hervé Extended variational theory of complex rays in heterogeneous Helmholtz problem. (English) Zbl 1398.74043 Comput. Mech. 59, No. 6, 909-918 (2017). MSC: 74E05 65N30 35J05 74H45 65N12 74S05 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Mech. 59, No. 6, 909--918 (2017; Zbl 1398.74043) Full Text: DOI HAL
Riou, Hervé On some results about the variational theory of complex rays used close to the high frequency regime. (English) Zbl 07313636 Math. Comput. Simul. 124, 30-43 (2016). MSC: 74-XX 70-XX PDFBibTeX XMLCite \textit{H. Riou}, Math. Comput. Simul. 124, 30--43 (2016; Zbl 07313636) Full Text: DOI
Li, Hao; Ladevèze, Pierre; Riou, Hervé Hybrid finite element method and variational theory of complex rays for Helmholtz problems. (English) Zbl 1360.74138 J. Comput. Acoust. 24, No. 4, Article ID 1650015, 13 p. (2016). MSC: 74S05 74H45 65N30 35J05 PDFBibTeX XMLCite \textit{H. Li} et al., J. Comput. Acoust. 24, No. 4, Article ID 1650015, 13 p. (2016; Zbl 1360.74138) Full Text: DOI
Mönkölä, Sanna On the accuracy and efficiency of transient spectral element models for seismic wave problems. (English) Zbl 1388.86005 Adv. Math. Phys. 2016, Article ID 9431583, 15 p. (2016). MSC: 86-08 74S25 65M70 86A15 PDFBibTeX XMLCite \textit{S. Mönkölä}, Adv. Math. Phys. 2016, Article ID 9431583, 15 p. (2016; Zbl 1388.86005) Full Text: DOI
Gabard, G.; Dazel, O. A discontinuous Galerkin method with plane waves for sound-absorbing materials. (English) Zbl 1352.74145 Int. J. Numer. Methods Eng. 104, No. 12, 1115-1138 (2015). MSC: 74J15 74S05 65N30 74F10 PDFBibTeX XMLCite \textit{G. Gabard} and \textit{O. Dazel}, Int. J. Numer. Methods Eng. 104, No. 12, 1115--1138 (2015; Zbl 1352.74145) Full Text: DOI Link
Diwan, G. C.; Mohamed, M. S.; Seaid, M.; Trevelyan, J.; Laghrouche, O. Mixed enrichment for the finite element method in heterogeneous media. (English) Zbl 1352.74344 Int. J. Numer. Methods Eng. 101, No. 1, 54-78 (2015). MSC: 74S05 76M10 65N30 74J20 76Q05 80A20 PDFBibTeX XMLCite \textit{G. C. Diwan} et al., Int. J. Numer. Methods Eng. 101, No. 1, 54--78 (2015; Zbl 1352.74344) Full Text: DOI Link
Deckers, Elke; Jonckheere, Stijn; Vandepitte, Dirk; Desmet, Wim Modelling techniques for vibro-acoustic dynamics of poroelastic materials. (English) Zbl 1348.74096 Arch. Comput. Methods Eng. 22, No. 2, 183-236 (2015). MSC: 74F10 PDFBibTeX XMLCite \textit{E. Deckers} et al., Arch. Comput. Methods Eng. 22, No. 2, 183--236 (2015; Zbl 1348.74096) Full Text: DOI Link
Cattabiani, Alessandro; Barbarulo, Andrea; Riou, Hervé; Ladevèze, Pierre Variational theory of complex rays applied to shell structures: in-plane inertia, quasi-symmetric ray distribution, and orthotropic materials. (English) Zbl 1336.74046 Comput. Mech. 56, No. 6, 983-997 (2015). MSC: 74K25 74H45 PDFBibTeX XMLCite \textit{A. Cattabiani} et al., Comput. Mech. 56, No. 6, 983--997 (2015; Zbl 1336.74046) Full Text: DOI HAL
Hernández, Erwin; Spa, Carlos; van Caloen, Sophie A finite element approximations of a structural acoustic control problem with a Timoshenko beam interface. (English) Zbl 1326.74061 J. Math. Anal. Appl. 424, No. 2, 1125-1142 (2015). MSC: 74H45 74K10 49M25 74P99 PDFBibTeX XMLCite \textit{E. Hernández} et al., J. Math. Anal. Appl. 424, No. 2, 1125--1142 (2015; Zbl 1326.74061) Full Text: DOI
Deckers, Elke; Atak, Onur; Coox, Laurens; D’Amico, Roberto; Devriendt, Hendrik; Jonckheere, Stijn; Koo, Kunmo; Pluymers, Bert; Vandepitte, Dirk; Desmet, Wim The wave based method: an overview of 15 years of research. (English) Zbl 1456.35006 Wave Motion 51, No. 4, 550-565 (2014). MSC: 35A25 74J05 76Q05 35J05 65N99 PDFBibTeX XMLCite \textit{E. Deckers} et al., Wave Motion 51, No. 4, 550--565 (2014; Zbl 1456.35006) Full Text: DOI Link
Ladevèze, Pierre; Riou, Hervé On Trefftz and weak Trefftz discontinuous Galerkin approaches for medium-frequency acoustics. (English) Zbl 1423.74899 Comput. Methods Appl. Mech. Eng. 278, 729-743 (2014). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{P. Ladevèze} and \textit{H. Riou}, Comput. Methods Appl. Mech. Eng. 278, 729--743 (2014; Zbl 1423.74899) Full Text: DOI HAL
Meddahi, Salim; Mora, David; Rodríguez, Rodolfo Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem. (English) Zbl 1369.74027 Comput. Math. Appl. 68, No. 12, Part A, 1733-1750 (2014). MSC: 74F10 65N30 65N25 PDFBibTeX XMLCite \textit{S. Meddahi} et al., Comput. Math. Appl. 68, No. 12, Part A, 1733--1750 (2014; Zbl 1369.74027) Full Text: DOI
Luostari, Teemu; Huttunen, Tomi; Monk, Peter The ultra weak variational formulation of thin clamped plate problems. (English) Zbl 1349.74330 J. Comput. Phys. 260, 85-106 (2014). MSC: 74S05 65N30 74K20 PDFBibTeX XMLCite \textit{T. Luostari} et al., J. Comput. Phys. 260, 85--106 (2014; Zbl 1349.74330) Full Text: DOI
Hashemi, S. H.; Boroomand, B.; Movahedian, B. Exponential basis functions in space and time: a meshless method for 2D time dependent problems. (English) Zbl 1349.74371 J. Comput. Phys. 241, 526-545 (2013). MSC: 74S25 PDFBibTeX XMLCite \textit{S. H. Hashemi} et al., J. Comput. Phys. 241, 526--545 (2013; Zbl 1349.74371) Full Text: DOI
Mönkölä, Sanna An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes. (English) Zbl 1311.76097 J. Comput. Phys. 242, 439-459 (2013). MSC: 76M22 65M70 74F10 76D55 PDFBibTeX XMLCite \textit{S. Mönkölä}, J. Comput. Phys. 242, 439--459 (2013; Zbl 1311.76097) Full Text: DOI Link
Hernández, Erwin; Santamarina, Duarte Active control of sloshing in containers with elastic baffle plates. (English) Zbl 1253.76010 Int. J. Numer. Methods Eng. 91, No. 6, 604-621 (2012). MSC: 76B15 76M10 74F10 93C95 65N30 PDFBibTeX XMLCite \textit{E. Hernández} and \textit{D. Santamarina}, Int. J. Numer. Methods Eng. 91, No. 6, 604--621 (2012; Zbl 1253.76010) Full Text: DOI Link
Santos, H. A. F. A.; Evans, John A.; Hughes, Thomas J. R. Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence. (English) Zbl 1243.74187 Comput. Methods Appl. Mech. Eng. 209-212, 101-114 (2012). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{H. A. F. A. Santos} et al., Comput. Methods Appl. Mech. Eng. 209--212, 101--114 (2012; Zbl 1243.74187) Full Text: DOI
Deckers, Elke; Hörlin, Nils-Erik; Vandepitte, Dirk; Desmet, Wim A wave based method for the efficient solution of the 2D poroelastic Biot equations. (English) Zbl 1239.74023 Comput. Methods Appl. Mech. Eng. 201-204, 245-262 (2012). MSC: 74F10 65N80 74H10 76S05 PDFBibTeX XMLCite \textit{E. Deckers} et al., Comput. Methods Appl. Mech. Eng. 201--204, 245--262 (2012; Zbl 1239.74023) Full Text: DOI Link
Van Genechten, Bert; Vandepitte, Dirk; Desmet, Wim A direct hybrid finite element - wave based modelling technique for efficient coupled vibro-acoustic analysis. (English) Zbl 1225.74110 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 742-764 (2011). MSC: 74S05 74F10 76Q05 PDFBibTeX XMLCite \textit{B. Van Genechten} et al., Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 742--764 (2011; Zbl 1225.74110) Full Text: DOI
El Kacimi, A.; Laghrouche, O. Wavelet based ILU preconditioners for the numerical solution by PUFEM of high frequency elastic wave scattering. (English) Zbl 1316.74068 J. Comput. Phys. 230, No. 8, 3119-3134 (2011). MSC: 74S25 74J20 65N30 65F08 65T60 PDFBibTeX XMLCite \textit{A. El Kacimi} and \textit{O. Laghrouche}, J. Comput. Phys. 230, No. 8, 3119--3134 (2011; Zbl 1316.74068) Full Text: DOI
Hernández, Erwin; Otárola, Enrique A superconvergent scheme for a locking-free FEM in a Timoshenko optimal control problem. (English) Zbl 1344.74045 ZAMM, Z. Angew. Math. Mech. 91, No. 4, 288-299 (2011). MSC: 74M05 74K10 49M25 65L60 PDFBibTeX XMLCite \textit{E. Hernández} and \textit{E. Otárola}, ZAMM, Z. Angew. Math. Mech. 91, No. 4, 288--299 (2011; Zbl 1344.74045) Full Text: DOI
Van Genechten, Bert; Vergote, Karel; Vandepitte, Dirk; Desmet, Wim A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions. (English) Zbl 1231.76222 Comput. Methods Appl. Mech. Eng. 199, No. 29-32, 1881-1905 (2010). MSC: 76M25 76Q05 74F10 PDFBibTeX XMLCite \textit{B. Van Genechten} et al., Comput. Methods Appl. Mech. Eng. 199, No. 29--32, 1881--1905 (2010; Zbl 1231.76222) Full Text: DOI
El Kacimi, A.; Laghrouche, O. Improvement of PUFEM for the numerical solution of high-frequency elastic wave scattering on unstructured triangular mesh grids. (English) Zbl 1202.74166 Int. J. Numer. Methods Eng. 84, No. 3, 330-350 (2010). MSC: 74S05 74J20 PDFBibTeX XMLCite \textit{A. El Kacimi} and \textit{O. Laghrouche}, Int. J. Numer. Methods Eng. 84, No. 3, 330--350 (2010; Zbl 1202.74166) Full Text: DOI
Mönkölä, Sanna Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements. (English) Zbl 1407.74028 J. Comput. Appl. Math. 234, No. 6, 1904-1911 (2010). MSC: 74F10 76Q05 65N30 65M22 93C20 PDFBibTeX XMLCite \textit{S. Mönkölä}, J. Comput. Appl. Math. 234, No. 6, 1904--1911 (2010; Zbl 1407.74028) Full Text: DOI
Boroomand, B.; Soghrati, S.; Movahedian, B. Exponential basis functions in solution of static and time harmonic elastic problems in a meshless style. (English) Zbl 1183.74350 Int. J. Numer. Methods Eng. 81, No. 8, 971-1018 (2010). MSC: 74S30 74B05 PDFBibTeX XMLCite \textit{B. Boroomand} et al., Int. J. Numer. Methods Eng. 81, No. 8, 971--1018 (2010; Zbl 1183.74350) Full Text: DOI
El Kacimi, A.; Laghrouche, O. Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method. (English) Zbl 1158.74485 Int. J. Numer. Methods Eng. 77, No. 12, 1646-1669 (2009). MSC: 74S05 74J20 PDFBibTeX XMLCite \textit{A. El Kacimi} and \textit{O. Laghrouche}, Int. J. Numer. Methods Eng. 77, No. 12, 1646--1669 (2009; Zbl 1158.74485) Full Text: DOI
Destuynder, Philippe; Vétillard, Jocelyne Modelling and control of noise in a flexible flow duct. (English) Zbl 1194.76260 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1801-1812 (2008). MSC: 76Q05 76N25 74F10 35L20 49J20 49N05 PDFBibTeX XMLCite \textit{P. Destuynder} and \textit{J. Vétillard}, Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1801--1812 (2008; Zbl 1194.76260) Full Text: DOI
Bouillard, Ph.; Almeida, J. P. M.; Decouvreur, V.; Mertens, T. Some challenges in computational vibro-acoustics: verification, validation and medium frequencies. (English) Zbl 1184.74075 Comput. Mech. 42, No. 2, 317-326 (2008). Reviewer: Yuri N. Sankin (Ul’yanovsk) MSC: 74S30 74S05 74J10 74H45 PDFBibTeX XMLCite \textit{Ph. Bouillard} et al., Comput. Mech. 42, No. 2, 317--326 (2008; Zbl 1184.74075) Full Text: DOI
Bermúdez, Alfredo; Hervella-Nieto, Luis; Rodríguez, Rodolfo A modal synthesis method for the elastoacoustic vibration problem. (English) Zbl 1066.74032 M2AN, Math. Model. Numer. Anal. 36, No. 1, 121-142 (2002). MSC: 74H45 74F10 65N15 65N25 74S05 76Q05 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., M2AN, Math. Model. Numer. Anal. 36, No. 1, 121--142 (2002; Zbl 1066.74032) Full Text: DOI Numdam EuDML