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-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer
Stephane Cotin, Michel Duprez, Vanessa Lleras +2
One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, g…
A new -FEM approach for problems with natural boundary conditions
Michel Duprez, Vanessa Lleras, Alexei Lozinski
We present a new finite element method, called -FEM, to solve numerically elliptic partial differential equations with natural (Neumann or Robin) boundary conditions using simpl…
-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…
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…