A Multiscale Discontinuous Galerkin Method. - Pavel B. Bochev; Thomas J. R. Hughes; Guglielmo Scovazzi (LSSC, 2005)

Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. - E. Love; William J. Rider; Guglielmo Scovazzi (J. Comput. Phys., 2009)

Stabilized Methods for Compressible Flows. - Thomas J. R. Hughes; Guglielmo Scovazzi; Tayfun E. Tezduyar (J. Sci. Comput., 2010)

Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. - Pavel B. Bochev; Denis Ridzal; Guglielmo Scovazzi; Mikhail J. Shashkov (J. Comput. Phys., 2011)

A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements. - A. López Ortega; Guglielmo Scovazzi (J. Comput. Phys., 2011)

Lagrangian shock hydrodynamics on tetrahedral meshes: A stable and accurate variational multiscale approach. - Guglielmo Scovazzi (J. Comput. Phys., 2012)

Isogeometric analysis of Lagrangian hydrodynamics. - Yuri Bazilevs; I. Akkerman; D. J. Benson; Guglielmo Scovazzi; Mikhail J. Shashkov (J. Comput. Phys., 2013)

A discontinuous Galerkin method for gravity-driven viscous fingering instabilities in porous media. - Guglielmo Scovazzi; A. Gerstenberger; S. S. Collis (J. Comput. Phys., 2013)

A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: High-order computations of viscous fingering instabilities in complex geometry. - Guglielmo Scovazzi; H. Huang; S. S. Collis; Jichao Yin (J. Comput. Phys., 2013)

A frame-invariant vector limiter for flux corrected nodal remap in arbitrary Lagrangian-Eulerian flow computations. - Xianyi Zeng; Guglielmo Scovazzi (J. Comput. Phys., 2014)

A variational multiscale finite element method for monolithic ALE computations of shock hydrodynamics using nodal elements. - Xianyi Zeng; Guglielmo Scovazzi (J. Comput. Phys., 2016)

Analytical and variational numerical methods for unstable miscible displacement flows in porous media. - Guglielmo Scovazzi; Mary F. Wheeler; Andro Mikelic; Sanghyun Lee (J. Comput. Phys., 2017)

A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. - Milan Kucharik; Guglielmo Scovazzi; Mikhail J. Shashkov; Raphaël Loubère (J. Comput. Phys., 2018)

The shifted boundary method for embedded domain computations. Part I: Poisson and Stokes problems. - Alex Main; Guglielmo Scovazzi (J. Comput. Phys., 2018)

The shifted boundary method for embedded domain computations. Part II: Linear advection-diffusion and incompressible Navier-Stokes equations. - Alex Main; Guglielmo Scovazzi (J. Comput. Phys., 2018)

The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows. - Ting Song; Alex Main; Guglielmo Scovazzi; Mario Ricchiuto (J. Comput. Phys., 2018)

Dual-scale Galerkin methods for Darcy flow. - Guoyin Wang; Guglielmo Scovazzi; Léo Nouveau; Christopher E. Kees; Simone Rossi 003; Oriol Colomés; Alex Main (J. Comput. Phys., 2018)

An ALE/embedded boundary method for two-material flow simulations. - Xianyi Zeng; Kangan Li; Guglielmo Scovazzi (Comput. Math. Appl., 2019)

A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations. - Efthymios N. Karatzas; Giovanni Stabile; Léo Nouveau; Guglielmo Scovazzi; Gianluigi Rozza (CoRR, 2019)

High-order gradients with the shifted boundary method: An embedded enriched mixed formulation for elliptic PDEs. - Léo Nouveau; Mario Ricchiuto; Guglielmo Scovazzi (J. Comput. Phys., 2019)

The Second-Generation Shifted Boundary Method and Its Numerical Analysis. - Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi (CoRR, 2020)

Analysis of the Shifted Boundary Method for the Poisson Problem in General Domains. - Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi (CoRR, 2020)

A weighted Shifted Boundary Method for free surface flow problems. - Oriol Colomés; Alex Main; Léo Nouveau; Guglielmo Scovazzi (J. Comput. Phys., 2021)

Analysis of the shifted boundary method for the Poisson problem in domains with corners. - Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi (Math. Comput., 2021)

Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method. - Xianyi Zeng; Giovanni Stabile; Efthymios N. Karatzas; Guglielmo Scovazzi; Gianluigi Rozza (CoRR, 2022)

A penalty-free Shifted Boundary Method of arbitrary order. - J. Haydel Collins; Alexei Lozinski; Guglielmo Scovazzi (CoRR, 2023)

Optimal Surrogate Boundary Selection and Scalability Studies for the Shifted Boundary Method on Octree Meshes. - Cheng-Hau Yang; Kumar Saurabh; Guglielmo Scovazzi; Claudio Canuto; Adarsh Krishnamurthy; Baskar Ganapathysubramanian (CoRR, 2023)

Simulating incompressible flows over complex geometries using the shifted boundary method with incomplete adaptive octree meshes. - Cheng-Hau Yang; Guglielmo Scovazzi; Adarsh Krishnamurthy; Baskar Ganapathysubramanian (CoRR, 2024)

Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries. - Nabil M. Atallah; Vladimir Z. Tomov; Guglielmo Scovazzi (J. Comput. Phys., 2024)

A weighted shifted boundary method for immersed moving boundary simulations of Stokes' flow. - Danjie Xu; Oriol Colomés; Alex Main; Kangan Li; Nabil M. Atallah; Nabil Abboud; Guglielmo Scovazzi (J. Comput. Phys., 2024)

A high-order Shifted Interface Method for Lagrangian shock hydrodynamics. - Nabil M. Atallah; Ketan Mittal; Guglielmo Scovazzi; Vladimir Z. Tomov (J. Comput. Phys., 2025)

A Shifted Boundary Method for the compressible Euler equations. - Xianyi Zeng; Ting Song; Guglielmo Scovazzi (J. Comput. Phys., 2025)

Octree-Based Shifted Boundary Method for Multiphysics Simulations Using Linearized Navier-Stokes in Complex Geometries. - Cheng-Hau Yang; Guglielmo Scovazzi; Adarsh Krishnamurthy; Baskar Ganapathysubramanian (CoRR, 2025)

Direct Flow Simulations with Implicit Neural Representation of Complex Geometry. - Samundra Karki; Mehdi Shadkah; Cheng-Hau Yang; Aditya Balu; Guglielmo Scovazzi; Adarsh Krishnamurthy; Baskar Ganapathysubramanian (CoRR, 2025)

Gap-SBM: A New Conceptualization of the Shifted Boundary Method with Optimal Convergence for the Neumann and Dirichlet Problems. - J. Haydel Collins; Kangan Li; Alexei Lozinski; Guglielmo Scovazzi (CoRR, 2025)