3 papers
math.NA2026
The diffuse interface approximation to fluid-structure interaction
Francis R. A. Aznaran, Martina BukaÄ, Boris Muha
We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressibl…
math.NA2024
Uniformly -stable elements for the elasticity complex
Francis R. A. Aznaran, Kaibo Hu, Charles Parker
For the discretization of symmetric, divergence-conforming stress tensors in continuum mechanics, we prove inf-sup stability bounds which are uniform in polynomial degree and mesh…
math.NA2024
Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling
Francis R. A. Aznaran, Martina BukaÄ, Boris Muha +1
We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressibl…