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Guglielmo Scovazzi

Duke University

SCHOLARLY PAPERS

14

DOWNLOADS

979

TOTAL CITATIONS

3

Scholarly Papers (14)

1.

The Shifted Boundary Method for Contact Problems

Number of pages: 32 Posted: 05 Nov 2024
Kangan Li, Andrea Gorgi, Riccardo Rossi and Guglielmo Scovazzi
Duke University, affiliation not provided to SSRN, affiliation not provided to SSRN and Duke University
Downloads 198 (387,924)

Abstract:

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Contact mechanics, Shifted Boundary Method, embedded domains, small cut-cell problem, Nitsche's method, Lagrange multiplier method

2.

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.

3.

A Shifted Boundary Method for the Compressible Euler Equations

Number of pages: 26 Posted: 11 Mar 2024
Xianyi Zeng, Ting Song and Guglielmo Scovazzi
Lehigh University, affiliation not provided to SSRN and Duke University
Downloads 85 (771,553)

Abstract:

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shifted boundary method, explicit time integration, Euler equations, compressible flow, Finite element method

4.

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.

5.

The Generalized Shifted Boundary Method for Geometry-Parametric Pdes and Time-Dependent Domains

Number of pages: 29 Posted: 09 Aug 2025
Oriol Colomés, Jan Modderman and Guglielmo Scovazzi
Delft University of Technology, affiliation not provided to SSRN and Duke University
Downloads 71 (867,774)

Abstract:

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Generalized Shifted Boundary Method, Unfitted Finite Element Method, Immersed Boundary Method, Moving Geometry, Parametrized Geometry

6.

Simulating Incompressible Flows Over Complex Geometries Using the Shifted Boundary Method with Incomplete Adaptive Octree Meshes

Number of pages: 45 Posted: 17 Dec 2024
Iowa State University, Duke University, Iowa State University and Iowa State University
Downloads 69 (883,195)
Citation 2

Abstract:

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Shifted Boundary Method, Computational Fluid Dynamics, Incomplete octree, Optimal surrogate boundary, Weak boundary conditions

7.

A Weighted Shifted Boundary Method for the Navier-Stokes Equations with Immersed Moving Boundaries

Number of pages: 33 Posted: 12 May 2025
Duke University, Duke University, Delft University of Technology, affiliation not provided to SSRN, Pennsylvania State University, Lawrence Livermore National Laboratory and affiliation not provided to SSRN
Downloads 66 (916,100)

Abstract:

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immersed boundary method, unfitted finite element method, approximate boundary, moving boundaries, computational fluid dynamics, Shifted Boundary Method

8.

A Shifted Boundary Method for Thermal Flows

Number of pages: 37 Posted: 28 Mar 2025
Iowa State University, Duke University, Iowa State University and Iowa State University
Downloads 65 (916,100)

Abstract:

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Shifted Boundary Method, Immersed Boundary Method, Incomplete Octree, Weak boundary conditions, Buoyancy-driven convection, Residual-based variational multiscale

9.

The Isogeometric Gap-Shifted Boundary Method

Number of pages: 30 Posted: 04 Feb 2026
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, Duke University and affiliation not provided to SSRN
Downloads 57 (1,000,027)

Abstract:

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Shifted Boundary Method (SBM), Gap-SBM, Isogeometric Analysis (IGA), Unfitted Boundary Methods

10.

Crack Branching and Merging Simulations with the Shifted Fracture Method

Number of pages: 20 Posted: 11 Sep 2024
Kangan Li, Antonio Rodriguez-Ferran and Guglielmo Scovazzi
Pennsylvania State University, Universitat Politécnica de Catalunya and Duke University
Downloads 45 (1,121,190)
Citation 1

Abstract:

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Crack branching, crack merging, shifted boundary method, shifted fracture method, fracture mechanics

11.

Direct Flow Simulations with Implicit Neural Representation of Complex Geometry

Number of pages: 33 Posted: 31 Mar 2025
Iowa State University, Iowa State University, Iowa State University, Iowa State University, Duke University, Iowa State University and Iowa State University
Downloads 36 (1,236,159)

Abstract:

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Implicit Neural Representations, Shifted Boundary Method, Flow Simulations, Complex Geometries, Neural Networks

12.

A Stabilized Linear Tetrahedral Finite Element with Fine-Scale Kinematics

Number of pages: 27 Posted: 19 Nov 2022
Guglielmo Scovazzi, Rubén Zorrilla and Riccardo Rossi
Duke University, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 33 (1,277,121)

Abstract:

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Variational multiscale method, stabilized methods, finite deformation, nonlinear elasticity, piece-wise linear interpolation, nearly incompressible elasticity.

13.

The Gap-Shifted Boundary Method for Solid Mechanics Problems: Linear Elasticity, Hyperelasticity and Elastoplasticity

Number of pages: 39 Posted: 13 Jun 2026
Kangan Li, Tushar Mittal, J. Haydel Collins and Guglielmo Scovazzi
Pennsylvania State University, Pennsylvania State University, Duke University and Duke University
Downloads 21

Abstract:

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Shifted Boundary Method, embedded domains, elasticity, hyperelasticity, elastoplasticity

14.

Gap-Sbm: A New Conceptualization of the Shifted Boundary Method with Optimal Convergence for the Neumann and Dirichlet Problems

Number of pages: 29 Posted: 14 Aug 2025
J. Haydel Collins, Kangan Li, Alexei Lozinski and Guglielmo Scovazzi
Duke University, Pennsylvania State University, University of Franche-Comté and Duke University
Downloads 21 (1,436,435)

Abstract:

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