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Galerkin Gradient Least Square Method for Sound Holography in Royaumont Abbey

Abstract : The Galerkin Gradient Least Square method is here proposed to simulate the sound holography inside the church of the Royaumont abbey, which has been destroyed in 1792. The church is restored with a computer aided design model, which is then meshed by a voxelization algorithm for a finite element analysis. Helmholtz equation is used for modeling the acoustics phenomena. To increase the accuracy of the finite element analysis, a stabilization parameter for the Galerkin Gradient Least Square method is first reviewed in 1D and then devised for 2D and 3D Helmholtz equation. Numerical experiments are carried out to investigate the efficiency of this new stabilization parameter and demonstrate that the Galerkin Gradient Least Square method performs superior to the Galerkin method. © 2016 IEEE.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02426675
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Submitted on : Thursday, January 2, 2020 - 4:47:37 PM
Last modification on : Thursday, July 2, 2020 - 9:12:02 AM

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Hanyu Zhang, Peter Ivanyi, Frédéric Magoulès. Galerkin Gradient Least Square Method for Sound Holography in Royaumont Abbey. 19th IEEE International Conference on Computational Science and Engineering, 14th IEEE International Conference on Embedded and Ubiquitous Computing and 15th International Symposium on Distributed Computing and Applications to Business, Engineering and Science, CSE-EUC-DCABES 2016, Aug 2016, Paris, France. pp.371-378, ⟨10.1109/CSE-EUC-DCABES.2016.211⟩. ⟨hal-02426675⟩

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