The Biot–Stokes coupling using total pressure: Formulation, analysis and application to interfacial flow in the eye
R Ruiz-Baier, M Taffetani, HD Westermeyer… - Computer Methods in …, 2022 - Elsevier
We consider a multiphysics model for the flow of Newtonian fluid coupled with Biot
consolidation equations through an interface, and incorporating total pressure as an …
consolidation equations through an interface, and incorporating total pressure as an …
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form
We construct mesh-independent and parameter-robust monolithic solvers for the coupled
primal Stokes--Darcy problem. Three different formulations and their discretizations in terms …
primal Stokes--Darcy problem. Three different formulations and their discretizations in terms …
The T-coercivity approach for mixed problems
M Barré, P Ciarlet - Comptes Rendus. Mathématique, 2023 - hal.science
Classically, the well-posedness of variational formulations of mixed linear problems is
achieved through the inf-sup condition on the constraint. In this note, we propose an …
achieved through the inf-sup condition on the constraint. In this note, we propose an …
[PDF][PDF] Variational Formulations of the Strong Formulation--Forward and Inverse Modeling using Isogeometric Analysis and Physics-Informed Networks
The recently introduced Physics-Informed Neural Networks (PINNs)[5, 13, 8] have
popularized least squares formulations of both forward and inverse problems involving …
popularized least squares formulations of both forward and inverse problems involving …
Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications
The quasi-static multiple network poroelastic theory (MPET) model, first introduced in the
context of geomechanics, has recently found new applications in medicine. In practice, the …
context of geomechanics, has recently found new applications in medicine. In practice, the …
[PDF][PDF] Fractional operators in coupled multiphysics problems with implicit coupling
M Kuchta - NUMERICAL SOLUTION OF FRACTIONAL … - parallel.bas.bg
Construction of parameter robust solution algorithms for coupled multiphysics problems is
challenging due to the interaction between the system components and practical …
challenging due to the interaction between the system components and practical …