155 citations
- Centre National de la Recherche ScientifiqueFR31 papers
- Université de BordeauxFR30 papers
- Laboratoire Ondes et Matière d'AquitaineFR28 papers
- Institute for Physics of MicrostructuresRU21 papers
- Moscow Institute of Physics and TechnologyRU18 papers
- Monash UniversityAU12 papers
- N. I. Lobachevsky State University of Nizhny NovgorodRU11 papers
- Universidad Adventista de ChileCL11 papers
- Russian Academy of SciencesRU8 papers
- University of CambridgeGB6 papers
- Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of SciencesRU5 papers
- Potsdam Institute for Climate Impact ResearchDE5 papers
3 papers · 1 filter
A stabilized trace finite element method for partial differential equations on evolving surfaces
Christoph Lehrenfeld, Maxim A. Olshanskii, Xianmin Xu
In this paper, we study a numerical method for the solution of partial differential equations on evolving surfaces. The numerical method is built on the stabilized trace finite ele…
A quasi-Lagrangian finite element method for the Navier-Stokes equations in a time-dependent domain
Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski
The paper develops a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method builds on a quasi-Lagrangian formu…
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…