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math.NA2025
A structure-preserving Lagrangian discontinuous Galerkin method using flux and slope limiting
Joshua Vedral, Nathaniel Morgan, Dmitri Kuzmin +1
We introduce a Lagrangian nodal discontinuous Galerkin (DG) cell-centered hydrodynamics method for solving multi-dimensional hyperbolic systems. By incorporating an adaptation of Z…
math.NA2023
Coupling nonconforming and enriched Galerkin methods for robust discretization and fast solvers of poroelasticity problems
Jeonghun J. Lee, Jacob Moore
In this paper we propose a new finite element discretization for the two-field formulation of poroelasticity which uses the elastic displacement and the pore pressure as primary va…