2 papers
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…
physics.comp-ph2017
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…