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Communication Dans Un Congrès Année : 2021

Unstructured Multi-Patch DG-IGA Formulation for Wave Propagation

Résumé

Wave propagation problems in geophysics and in engineering often require different tools. In geophysics, one has to contend with heterogeneous and often discontinuous physical properties determined by subsoil structures such as strata and salt domes, often represented via unstructured meshes. Recent works highlighted the advantages of discontinuous Galerkin (DG) schemes, able to achieve high-order approximations while relying on block-diagonal matrices, well-suited for parallelization. Engineering simulations, on the other hand, often involve homogeneous materials with complex, but known, geometries. Isogeometric analysis (IGA) [1], which replaces polynomial bases by B-spline (or NURBS) bases coming from CAD models, has been shown to have higher efficiency per degree of freedom, better convergence in high energy modes and an improved CFL condition for wave propagation. REFERENCES [1] T. J. R. Hughes, J. A. Cottrell, and Y. Bazilevs, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, CMAME., 2005. [2] J. Chan and J.A. Evans, Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: Explicit time-stepping and efficient mass matrix inversion, CMAME, 2018. [3] Y. Liu and J. Snoeyink, Quadratic and cubic B-splines by generalizing higher-order Voronoi diagrams, proceedings of the XXIII annual symposium on Computational geometry, ACM, 2007.
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hal-03520478 , version 1 (11-01-2022)

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  • HAL Id : hal-03520478 , version 1

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Hélène Barucq, Henri Calandra, Julien Diaz, Stefano Frambati. Unstructured Multi-Patch DG-IGA Formulation for Wave Propagation. WCCM 2020 - 14th World Congress on Computational Mechanics - ECCOMAS Congress 2020, Jan 2021, Paris, France. ⟨hal-03520478⟩
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