57 citations · 69 across the 5 of their papers we have counts for
6 papers
Slip Wall Boundary Conditions in Curved Domains for Finite Element ALE Hydrodynamics
Nabil Atallah, Kevin Sweet, Paul Moujaes +3
We present a high-order finite element arbitrary Lagrangian-Eulerian (ALE) method for hydrodynamics with slip-wall boundary conditions on analytically curved domains. The method co…
A High-Order Shifted Interface Method for Lagrangian Shock Hydrodynamics
Nabil M. Atallah, Ketan Mittal, Guglielmo Scovazzi +1
We present a new method for two-material Lagrangian hydrodynamics, which combines the Shifted Interface Method (SIM) with a high-order Finite Element Method. Our approach relies on…
Weak Boundary Conditions for Lagrangian Shock Hydrodynamics: A High-Order Finite Element Implementation on Curved Boundaries
Nabil M. Atallah, Vladimir Z. Tomov, Guglielmo Scovazzi
We propose a new Nitsche-type approach for weak enforcement of normal velocity boundary conditions for a Lagrangian discretization of the compressible shock-hydrodynamics equations…
Analysis of the Shifted Boundary Method for the Poisson Problem in General Domains
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
The shifted boundary method (SBM) is an approximate domain method for boundary value problems, in the broader class of unfitted/embedded/immersed methods. It has proven to be quite…
The Second-Generation Shifted Boundary Method and Its Numerical Analysis
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
Recently, the Shifted Boundary Method (SBM) was proposed within the class of unfitted (or immersed, or embedded) finite element methods. By reformulating the original boundary valu…
A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
E. N. Karatzas, G. Stabile, N. Atallah +2
A model order reduction technique is combined with an embedded boundary finite element method with a POD-Galerkin strategy. The proposed methodology is applied to parametrized heat…