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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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07/02/2023
New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime
We propose, analyze, and investigate numerically a novel feedback contro...
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06/12/2023
Higher-order adaptive virtual element methods with contraction properties
The realization of a standard Adaptive Finite Element Method (AFEM) pres...
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03/25/2023
Weighted reduced order methods for uncertainty quantification in computational fluid dynamics
In this manuscript we propose and analyze weighted reduced order methods...
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12/29/2022
A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations
We consider the Virtual Element method (VEM) introduced by Beirão da Vei...
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05/02/2022
Solving PDEs by Variational Physics-Informed Neural Networks: an a posteriori error analysis
We consider the discretization of elliptic boundary-value problems by va...
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09/05/2021
Variational Physics Informed Neural Networks: the role of quadratures and test functions
In this work we analyze how Gaussian or Newton-Cotes quadrature rules of...
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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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12/12/2019
