Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
ESAIM: M2AN, 51 4 (2017) 1197-1221
Published online: 2017-06-21
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):
The Convergence Analysis of a Class of Stabilized Semi-Implicit Isogeometric Methods for the Cahn-Hilliard Equation
Xucheng Meng, Yuzhe Qin and Guanghui HuJournal of Scientific Computing 102 (1) (2025)
https://doi.org/10.1007/s10915-024-02753-5
Two-grid reduced-order method based on POD for a nonlinear poroelasticity model
Hongpeng Li, Hongxing Rui and Mengqi GaoJournal of Computational and Applied Mathematics 460 116413 (2025)
https://doi.org/10.1016/j.cam.2024.116413
Comparative vibroacoustic analyses: FEM vs. IGA
Tommaso Landi, Christophe Hoareau, Jean-François Deü, Roger Ohayon and Roberto CitarellaComputational Mechanics (2025)
https://doi.org/10.1007/s00466-025-02639-9
Efficient Isogeometric Analysis-Based Modeling for Transmit-Receive Mode: Application to Both Circular and Parallel-Faced Planar Transducer and Hard Reflector
Ahlem AliaJournal of Theoretical and Computational Acoustics 33 (01) (2025)
https://doi.org/10.1142/S259172852450021X
A data-driven reduced-order modeling approach for parameterized time-domain Maxwell's equations
Mengjun Yu and Kun LiNetworks and Heterogeneous Media 19 (3) 1309 (2024)
https://doi.org/10.3934/nhm.2024056
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems
Elena Zampieri and Luca F. PavarinoAdvances in Computational Mathematics 50 (2) (2024)
https://doi.org/10.1007/s10444-024-10113-y
A discontinuous Galerkin Method based on POD model reduction for Euler equation
Lan Zhu, Li Xu, Jun-Hui Yin, Shu-Cheng Huang and Bin LiNetworks and Heterogeneous Media 19 (1) 86 (2024)
https://doi.org/10.3934/nhm.2024004
A numerical B-spline Galerkin method with proper generalized decomposition for reduced order modeling of partial differential equations
Richen Li, Qingbiao Wu and Shengfeng ZhuCommunications in Nonlinear Science and Numerical Simulation 137 108057 (2024)
https://doi.org/10.1016/j.cnsns.2024.108057
A numerical comparison of Galerkin and Collocation Isogeometric approximations of acoustic wave problems
Elena Zampieri and Luca F. PavarinoApplied Numerical Mathematics (2023)
https://doi.org/10.1016/j.apnum.2023.06.001
Proper orthogonal decomposition based seismic source wavefield reconstruction for finite element reverse time migration
Wen-Zhuo Tan, Bang-Yu Wu, Rui Li and Bo LiPetroleum Science 20 (1) 199 (2023)
https://doi.org/10.1016/j.petsci.2022.08.007
Space-Time Discontinuous Galerkin Methods for Weak Solutions of Hyperbolic Linear Symmetric Friedrichs Systems
Daniele Corallo, Willy Dörfler and Christian WienersJournal of Scientific Computing 94 (1) (2023)
https://doi.org/10.1007/s10915-022-02076-3
A new approach to proper orthogonal decomposition with difference quotients
Sarah Locke Eskew and John R. SinglerAdvances in Computational Mathematics 49 (2) (2023)
https://doi.org/10.1007/s10444-023-10011-9
671 (2023)
https://doi.org/10.1109/YAC59482.2023.10401514
170 (2022)
https://doi.org/10.1190/iwmg2021-44.1
POD-Enhanced Deep Learning-Based Reduced Order Models for the Real-Time Simulation of Cardiac Electrophysiology in the Left Atrium
Stefania Fresca, Andrea Manzoni, Luca Dedè and Alfio QuarteroniFrontiers in Physiology 12 (2021)
https://doi.org/10.3389/fphys.2021.679076
Isogeometric collocation discretizations for acoustic wave problems
Elena Zampieri and Luca F. PavarinoComputer Methods in Applied Mechanics and Engineering 385 114047 (2021)
https://doi.org/10.1016/j.cma.2021.114047
A Krylov-based proper orthogonal decomposition method for elastodynamics problems with isogeometric analysis
Xiaofei Liu, Hu Wang, Xiaolong Yu and Chengjing WangEngineering Analysis with Boundary Elements 133 71 (2021)
https://doi.org/10.1016/j.enganabound.2021.08.025
Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction
Chuong Nguyen, Xiaoying Zhuang, Ludovic Chamoin, et al.Computer Methods in Applied Mechanics and Engineering 371 113306 (2020)
https://doi.org/10.1016/j.cma.2020.113306
Isogeometric analysis for time-fractional partial differential equations
Xindi Hu and Shengfeng ZhuNumerical Algorithms 85 (3) 909 (2020)
https://doi.org/10.1007/s11075-019-00844-1
Spline bas-relief modeling from sketches by isogeometric analysis approach
Jinlan Xu, Chengnan Ling, Gang Xu, Zhongping Ji and Timon RabczukGraphical Models 103 101025 (2019)
https://doi.org/10.1016/j.gmod.2019.101025
Explicit second order isogeometric discretizations for acoustic wave problems
Elena Zampieri and Luca F. PavarinoComputer Methods in Applied Mechanics and Engineering 348 776 (2019)
https://doi.org/10.1016/j.cma.2019.01.046
The time-dependent generalized membrane shell model and its numerical computation
Xiaoqin Shen, Junjun Jia, Shengfeng Zhu, et al.Computer Methods in Applied Mechanics and Engineering 344 54 (2019)
https://doi.org/10.1016/j.cma.2018.10.001
Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems
Richen Li, Qingbiao Wu and Shengfeng ZhuJournal of Computational Physics 387 280 (2019)
https://doi.org/10.1016/j.jcp.2019.02.051