Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
DOI10.1016/j.jcp.2023.112275arXiv2303.09481OpenAlexW4379616377MaRDI QIDQ6107119
Paola Francesca Antonietti, Unnamed Author, Michele Botti, Ilario Mazzieri
Publication date: 3 July 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.09481
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)
Cites Work
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- Mathematical aspects of discontinuous Galerkin methods.
- Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
- Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic \(h p\)-adaptivity
- A hybrid high-order discretization method for nonlinear poroelasticity
- High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes
- An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods
- Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
- On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review
- Multiphysics finite element method for quasi-static thermo-poroelasticity
- Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
- A generalized dynamical theory of thermoelasticity
- Existence and uniqueness of solutions of thermo-poroelasticity
- $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
- Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection
- Thermoelasticity and Irreversible Thermodynamics
- Mechanics of Deformation and Acoustic Propagation in Porous Media
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Thermal Stress Problem in a Fluid‐Filled Porous Circular Cylinder
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Wave Propagation Across Acoustic/Biot’s Media: A Finite-Difference Method
- Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
- Convection in Porous Media
- Finite Elements II
- A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Discontinuous Galerkin Approximation of the Fully Coupled Thermo-poroelastic Problem
This page was built for publication: Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
