1 citations · 2 across the 5 of their papers we have counts for
5 papers
The diffuse interface approximation to fluid-structure interaction
Francis R. A. Aznaran, Martina Bukač, 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…
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…
Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling
Francis R. A. Aznaran, Martina Bukač, 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…
Finite element methods for multicomponent convection-diffusion
Francis R. A. Aznaran, Patrick E. Farrell, Charles W. Monroe +1
We develop finite element methods for coupling the steady-state Onsager--Stefan--Maxwell equations to compressible Stokes flow. These equations describe multicomponent flow at low…
Transformations for Piola-mapped elements
Francis Aznaran, Robert Kirby, Patrick Farrell
The Arnold-Winther element successfully discretizes the Hellinger-Reissner variational formulation of linear elasticity; its development was one of the key early breakthroughs of t…