93 citations · 337 across the 15 of their papers we have counts for
3 papers · 2 filters
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…
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…