4 citations · 7 across the 11 of their papers we have counts for
6 papers · 1 filter
3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact
Erik Burman, Miguel A. Fernández, Stefan Frei +1
In this note we introduce a mixed dimensional Stokes-Darcy coupling where a dimensional Stokes' flow is coupled to a Darcy model on the dimensional boundary of the domain…
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries
Erik Burman, Peter Hansbo, Mats G. Larson
We consider -continuous approximations of the Kirchhoff plate problem in combination with a mesh dependent augmented Lagrangian method on a simply supported Signorini boundary…
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…
Cut Bogner-Fox-Schmit Elements for Plates
Erik Burman, Mats G. Larson, Peter Hansbo
We present and analyze a method for thin plates based on cut Bogner-Fox-Schmit elements, which are elements obtained by taking tensor products of Hermite splines. The formula…
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
Erik Burman, Stefan Frei, Andre Massing
This article is concerned with the discretisation of the Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as an extension of a r…
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…