54 citations · 139 across the 17 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
math.NA2005
New constructions of domain decomposition methods for systems of PDEs
Victorita Dolean, Frédéric Nataf, Gerd Rapin
We propose new domain decomposition methods for systems of partial differential equations in two and three dimensions. The algorithms are derived with the help of the Smith factori…
math.NA2005★ 1 cited
A New Domain Decomposition Method for the Compressible Euler Equations
Victorita Dolean, Frédéric Nataf
In this work we design a new domain decomposition method for the Euler equations in 2 dimensions. The basis is the equivalence via the Smith factorization with a third order scalar…
math.NA2005★ 54 cited
A new construction of perfectly matched layers for the linearized Euler equations
Frédéric Nataf
Based on a PML for the advective wave equation, we propose two PML models for the linearized Euler equations. The derivation of the first model can be applied to other physical mod…