16 papers
Unconditionally stable and energy conserving discretization of the dynamic von Kármán equations
Carsten Carstensen, Neela Nataraj, Ricardo Ruiz-Baier +1
A fully discrete approximation of the dynamic von Kármán equations combines nonconforming Morley finite element methods for spatial discretization with an energy conserving modifie…
Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain
Isaac Bermudez, Bryan Gomez-Vargas, Kent-Andre Mardal +2
We propose a fully mixed virtual element method for the numerical approximation of the coupling between linear poroelasticity equations with strong symmetry of total poroelastic st…
A Nitsche method for Navier--Stokes/generalized poroelasticity interface problems
Aparna Bansal, Nicolas A. Barnafi, Dwijendra Narain Pandey +1
We consider a time-dependent coupled Navier--Stokes/generalized poroelastic flow problem and propose a unified and monolithic finite element discretization based on implicit time s…
A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems
Franco Dassi, Rekha Khot, Andres E. Rubiano +1
We develop and analyse residual-based a posteriori error estimates for the virtual element discretisation of a nonlinear stress-assisted diffusion problem in two and three dimensio…
Robust stability and preconditioning of Darcy-Forchheimer equations
Rishi Das, Harsha Hutridurga, Amiya K. Pani +1
We derive parameter-robust quasi-optimal error estimates for mixed finite element methods for the nonlinear Darcy--Forchheimer equations with mixed boundary conditions. Using the f…
Convergence analysis and adaptive computation of a Banach-space mixed finite element method for generalized bioconvective flows
Eligio Colmenares, Ricardo Ruiz-Baier, Dalidet Sanhueza
We develop and analyse an adaptive fully mixed finite element method for stationary generalized bioconvective flows, where the Navier--Stokes equations with concentration-dependent…