Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem

Keywords

Advanced Numerical Methods for Scientific Computing
Geosciences/Protection of Land and Water Resources
Code:
30/2022
Title:
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem
Date:
Monday 9th May 2022
Author(s):
Bonetti S.; Botti M.; Antonietti P.F.
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Abstract:
We present and analyze a discontinuous Galerkin method for the numerical modelling of the fully-coupled quasi-static thermo-poroelastic problem. In particular, for the space discretization we introduce a discontinuous Galerkin method over polygonal and polyhedral grids and we present the stability analysis via two different approaches: first exploiting the Poincarè's inequality and second using the generalized inf-sup condition. Error estimates are derived for the resulting semi-discrete formulation in a suitable mesh dependent energy norm. Numerical simulations are presented in order to validate the theoretical analysis and to show the application of the model to a realistic case test.