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09/21/2023
A High-Order Shifted Interface Method for Lagrangian Shock Hydrodynamics
We present a new method for two-material Lagrangian hydrodynamics, which...
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09/02/2023
Weak Boundary Conditions for Lagrangian Shock Hydrodynamics: A High-Order Finite Element Implementation on Curved Boundaries
We propose a new Nitsche-type approach for weak enforcement of normal ve...
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07/04/2023
Optimal Surrogate Boundary Selection and Scalability Studies for the Shifted Boundary Method on Octree Meshes
The accurate and efficient simulation of Partial Differential Equations ...
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06/22/2023
A penalty-free Shifted Boundary Method of arbitrary order
We introduce and analyze a penalty-free formulation of the Shifted Bound...
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01/24/2022
Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method
We consider fully discrete embedded finite element approximations for a ...
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06/01/2020
Analysis of the Shifted Boundary Method for the Poisson Problem in General Domains
The shifted boundary method (SBM) is an approximate domain method for bo...
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04/22/2020
The Second-Generation Shifted Boundary Method and Its Numerical Analysis
Recently, the Shifted Boundary Method (SBM) was proposed within the clas...
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07/23/2019
