53 citations · 76 across the 3 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2019
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…
math.NA2014★ 53 cited
An adaptive octree finite element method for PDEs posed on surfaces
Alexey Y. Chernyshenko, Maxim A. Olshanskii
The paper develops a finite element method for partial differential equations posed on hypersurfaces in , . The method uses traces of bulk finite element funct…
math.NA2013
Non-degenerate Eulerian finite element method for solving PDEs on surfaces
Alexey Y. Chernyshenko, Maxim A. Olshanskii
The paper studies a method for solving elliptic partial differential equations posed on hypersurfaces in , . The method builds upon the formulation introduced…