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Implementation of HDG method for 2D anisotropic poroelastic first-order harmonic equations

Hélène Barucq 1 Julien Diaz 1 Rose-Cloé Meyer 1 Ha Pham 1
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : In this report, we develop a Hybridizable Discontinuous Galerkin (HDG) methodapplied to solving the two-dimensional anisotropic poroelastic equations written as a first-ordersystem in the frequency domain. We motivate the choice of the HDG method by the complexity ofthe considered equations and the high number of unknowns. The HDG method possesses indeedall the advantages of Discontinuous Galerkin method (hp-adaptivity, accuracy, ability to modelrugged domain,...) without its main drawback, the dramatic increase of the number of degrees offreedom. We illustrate the accuracy of the proposed solution methodology thanks to numericalexperiments and comparisons with analytical solutions that were developed in another work. Wealso offer numerical implementations on realistic geophysical media.
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https://hal.inria.fr/hal-02486942
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Submitted on : Friday, February 21, 2020 - 2:08:39 PM
Last modification on : Friday, March 6, 2020 - 3:34:11 PM
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Hélène Barucq, Julien Diaz, Rose-Cloé Meyer, Ha Pham. Implementation of HDG method for 2D anisotropic poroelastic first-order harmonic equations. [Research Report] RR-9326, Inria Bordeaux Sud-Ouest; UPPA (LMA-Pau). 2020. ⟨hal-02486942⟩

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