27 citations · 56 across the 16 of their papers we have counts for
3 papers · 1 filter
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem
Erik Burman, Rebecca Durst, Johnny Guzman
We analyze a splitting method for a canonical fluid structure interaction problem. The splittling method uses a Robin-Robin boundary condition, explicit strategy. We prove the meth…
Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow
Gabriel Barrenechea, Erik Burman, Johnny Guzmàn
We consider a linearised model of incompressible inviscid flow. Using a regularisation based on the Hodge Laplacian we prove existence and uniqueness of weak solutions for smooth d…
New stability estimates for an unfitted finite element method for two-phase Stokes problem
Ernesto Cáceres, Johnny Guzmán, Maxim Olshanskii
The paper addresses stability and finite element analysis of the stationary two-phase Stokes problem with a piecewise constant viscosity coefficient experiencing a jump across the…