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Nabil Atallah

Lawrence Livermore National Laboratory

P.O. Box 808

Livermore, CA 94551

United States

SCHOLARLY PAPERS

2

DOWNLOADS

212

TOTAL CITATIONS

0

Scholarly Papers (2)

1.

A Weighted Shifted Boundary Method for Immersed Moving Boundary Simulations of Stokes' Flow

Number of pages: 36 Posted: 06 Nov 2023
Duke University, Delft University of Technology, affiliation not provided to SSRN, Duke University, Lawrence Livermore National Laboratory, affiliation not provided to SSRN and Duke University
Downloads 136 (537,489)

Abstract:

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Immersed boundary method, unfitted finite element method, approximate boundary, Moving Boundaries, Computational Fluid Dynamics, Shifted Boundary Method.

2.

Analysis of the Weighted Shifted Boundary Method for the Poisson and Stokes Problems

Number of pages: 31 Posted: 18 Mar 2025
Nabil Atallah, Claudio Canuto and Guglielmo Scovazzi
Lawrence Livermore National Laboratory, Politecnico di Torino and Duke University
Downloads 76 (830,555)

Abstract:

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Weighted Shifted Boundary Method, Immersed Boundary Method, small cut-cell problem, approximate domain boundaries, weak boundary conditions, unfitted finite element methods.