Galerkin Least Square Method for Time-Harmonic Acoustics in Royaumont Abbey

Frédéric Magoulès (1) , Hanyu Zhang

1 MICS - Mathématiques et Informatique pour la Complexité et les Systèmes

This paper investigates numerically the Galerkin Least Square method for time-harmonic acoustic simulation within the virtual church of Royaumont abbey. The church's history is here reviewed. Since this church was destroyed after the french revolution, the methodology to build an accurate computer aided design model of the church of Royaumont abbey is clearly detailed. The Helmholtz equation is considered and the finite element analysis is carried out for solving this time-harmonic acoustic problem. Numerical experiments on the computer aided design model demonstrate the efficiency of the stabilized finite element method compared to the classical finite element method. © 2016 IEEE.

Keywords: Acoustics; Computer aided design; Culturage heritage; Finite element analysis; Galerkin least square method; Stabilized finite element method

Domains: Mathematics [math]

Frédéric Magoulès, Hanyu Zhang. Galerkin Least Square Method for Time-Harmonic Acoustics 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.299-307, ⟨10.1109/CSE-EUC-DCABES.2016.201⟩. ⟨hal-02426676⟩