53 citations · 76 across the 3 of their papers we have counts for
4 papers
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…
A hybrid finite volume -- finite element method for bulk--surface coupled problems
Alexey Y. Chernyshenko, Maxim A. Olshanskii, Yuri V. Vassilevski
The paper develops a hybrid method for solving a system of advection--diffusion equations in a bulk domain coupled to advection--diffusion equations on an embedded surface. A monot…
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…
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…