Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation
ESAIM: M2AN, 49 4 (2015) 1085-1126
Published online: 2015-06-30
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
An Efficient Dynamic P-Adaptive Discontinuous Galerkin Method for Seismic Wave Simulations
Xijun He, Jiandong Huang, Dinghui Yang, Yanjie Zhou and Xueyuan HuangIEEE Transactions on Geoscience and Remote Sensing 63 1 (2025)
https://doi.org/10.1109/TGRS.2025.3600174
Discontinuous Galerkin Method With a Novel Physics-Informed Flux for Elastic Wave Simulations in Heterogeneous Media
Xijun He, Xueyuan Huang, Dinghui Yang, Jiandong Huang and Yanjie ZhouIEEE Transactions on Geoscience and Remote Sensing 62 1 (2024)
https://doi.org/10.1109/TGRS.2024.3429541
A nodal discontinuous Galerkin method for wave propagation in coupled acoustic–elastic media
Ruiqi Li, Yijie Zhang, Naihao Liu and Jinghuai GaoGeophysical Prospecting 72 (6) 2282 (2024)
https://doi.org/10.1111/1365-2478.13520
Mixed Virtual Element approximation of linear acoustic wave equation
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri and Giuseppe VaccaIMA Journal of Numerical Analysis 44 (5) 2864 (2024)
https://doi.org/10.1093/imanum/drad078
A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems
Paola F. Antonietti, Ilario Mazzieri and Francesco MiglioriniComputers & Mathematics with Applications 134 87 (2023)
https://doi.org/10.1016/j.camwa.2023.01.016
Modeling 3-D Elastic Wave Propagation in TI Media Using Discontinuous Galerkin Method on Tetrahedral Meshes
Xijun He, Dinghui Yang, Jiandong Huang and Xueyuan HuangIEEE Transactions on Geoscience and Remote Sensing 61 1 (2023)
https://doi.org/10.1109/TGRS.2023.3247540
Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables
Tomáš Roubíček and Chrysoula TsogkaESAIM: Mathematical Modelling and Numerical Analysis 55 S397 (2021)
https://doi.org/10.1051/m2an/2020040
An efficient algorithm for sampling the shear-modulus reduction curve in the context of wave propagation using the elastoplastic Iwan model
S Chabot, E D Mercerat, N Glinsky and L F BonillaGeophysical Journal International 228 (3) 1907 (2021)
https://doi.org/10.1093/gji/ggab431
Impacts of geometric model simplifications on wave propagation—application to ground motion simulation in the lower Var valley basin (France)
Pierre Anquez, Nathalie Glinsky, Paul Cupillard and Guillaume CaumonGeophysical Journal International 229 (1) 110 (2021)
https://doi.org/10.1093/gji/ggab447
A spectral deferred correction method for incompressible flow with variable viscosity
Jörg StillerJournal of Computational Physics 423 109840 (2020)
https://doi.org/10.1016/j.jcp.2020.109840
Numerical simulation of topographical and geological site effects. Applications to canonical topographies and Rognes hill, South East France
Nathalie Glinsky, Etienne Bertrand and Julie RégnierSoil Dynamics and Earthquake Engineering 116 620 (2019)
https://doi.org/10.1016/j.soildyn.2018.10.020
A spectral hybridizable discontinuous Galerkin method for elastic–acoustic wave propagation
S Terrana, J P Vilotte and L GuillotGeophysical Journal International 213 (1) 574 (2018)
https://doi.org/10.1093/gji/ggx557
Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media
Jesse ChanInternational Journal for Numerical Methods in Engineering 113 (12) 1779 (2018)
https://doi.org/10.1002/nme.5720
A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics
Paola F Antonietti, Ilario Mazzieri, Niccolò Dal Santo and Alfio QuarteroniIMA Journal of Numerical Analysis 38 (4) 1709 (2018)
https://doi.org/10.1093/imanum/drx062
A high-order discontinuous Galerkin method for 1D wave propagation in a nonlinear heterogeneous medium
S. Chabot, N. Glinsky, E.D. Mercerat and L.F. Bonilla HidalgoJournal of Computational Physics 355 191 (2018)
https://doi.org/10.1016/j.jcp.2017.11.013
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
Chi-Wang ShuJournal of Computational Physics 316 598 (2016)
https://doi.org/10.1016/j.jcp.2016.04.030
A nodal high-order discontinuous Galerkin method for elastic wave propagation in arbitrary heterogeneous media
E. Diego Mercerat and Nathalie GlinskyGeophysical Journal International 201 (2) 1101 (2015)
https://doi.org/10.1093/gji/ggv029