136 citations · 588 across the 51 of their papers we have counts for
4 papers · 1 filter
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
The paper studies a geometrically unfitted finite element method (FEM), known as trace FEM or cut FEM, for the numerical solution of the Stokes system posed on a closed smooth surf…
Numerical modelling of phase separation on dynamic surfaces
Vladimir Yushutin, Annalisa Quaini, Maxim Olshanskii
The paper presents a model of lateral phase separation in a two component material surface. The resulting fourth order nonlinear PDE can be seen as a Cahn-Hilliard equation posed o…
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…
An unfitted finite element method for the Darcy problem in a fracture network
Alexey Y. Chernyshenko, Maxim A. Olshanskii
The paper develops an unfitted finite element method for solving the Darcy system of equations posed in a network of fractures embedded in a porous matrix. The approach builds on t…