5 citations · 6 across the 3 of their papers we have counts for
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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…