47 citations · 190 across the 24 of their papers we have counts for
4 papers · 1 filter
Preconditioning trace coupled 3-1 systems using fractional Laplacian
Miroslav Kuchta, Kent-Andre Mardal, Mikael Mortensen
Multiscale or multiphysics problems often involve coupling of partial differential equations posed on domains of different dimensionality. In this work we consider a simplified mod…
On the Singular Neumann Problem in Linear Elasticity
Miroslav Kuchta, Kent-Andre Mardal, Mikael Mortensen
The Neumann problem of linear elasticity is singular with a kernel formed by the rigid motions of the body. There are several tricks that are commonly used to obtain a non-singular…
Variational data assimilation for transient blood flow simulations
S. W. Funke, M. Nordaas, Øyvind Evju +2
Several cardiovascular diseases are caused from localised abnormal blood flow such as in the case of stenosis or aneurysms. Prevailing theories propose that the development is caus…
Efficient preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains
Miroslav Kuchta, Magne Nordaas, Joris C. G. Verschaeve +2
We study preconditioners for a model problem describing the coupling of two elliptic subproblems posed over domains with different topological dimension by a parameter dependent co…