A. Lozinski

activity

20182025

most cited

ϕ

-FEM: a finite element method on domains defined by level-sets

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NA2019★ 1 cited

$ϕ$ -FEM: a finite element method on domains defined by level-sets

Michel Duprez, Alexei Lozinski

We propose a new fictitious domain finite element method, well suited for elliptic problems posed in a domain given by a level-set function without requiring a mesh fitting the bou…

math.NA2019

CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes

Alexei Lozinski

We present a method of CutFEM type for the Poisson problem with either Dirichlet or Neumann boundary conditions. The computational mesh is obtained from a background (typically uni…

ϕ-FEM: a finite element method on domains defined by level-sets

CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes

$ϕ$ -FEM: a finite element method on domains defined by level-sets