We introduce an energy-based model, which seems especially suited for constrained
systems. The proposed model generalizes classical port-Hamiltonian input–state–output …

We develop the a posteriori error analysis of three mixed finite element formulations for
rotation-based equations in elasticity, poroelasticity, and interfacial elasticity-poroelasticity …

We introduce a semi-explicit time-step** scheme of second order for linear poroelasticity
satisfying a weak coupling condition. Here, semi-explicit means that the system, which …

We develop a partially explicit time discretization based on the framework of constraint
energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for the …

For the iterative decoupling of elliptic-parabolic problems such as poroelasticity, we
introduce time discretization schemes up to order $5 $ based on the backward differentiation …

We develop a partially explicit time discretization based on the framework of constraint
energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for the …

In this work, we develop Crank-Nicolson-type iterative decoupled algorithms for a three-field
formulation of Biot's consolidation model using total pressure. We begin by constructing an …

We study the construction and convergence of decoupling multistep schemes of higher
order using the backward differentiation formulae for an elliptic-parabolic problem, which …

For the iterative decoupling of elliptic–parabolic problems such as poroelasticity, we
introduce time discretization schemes up to order five based on the backward differentiation …