activity
20122026
most citedVariational Physics Informed Neural Networks: the role of quadratures and test functions

75 citations · 304 across the 24 of their papers we have counts for

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Showing 2023 · math.NAShow all

5 papers · 2 filters

math.NA2023★ 2 cited

Optimal Surrogate Boundary Selection and Scalability Studies for the Shifted Boundary Method on Octree Meshes

Cheng-Hau Yang, Kumar Saurabh, Guglielmo Scovazzi +3

The accurate and efficient simulation of Partial Differential Equations (PDEs) in and around arbitrarily defined geometries is critical for many application domains. Immersed bound…

math.NA2023★ 2 cited

New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime

Maria Strazzullo, Francesco Ballarin, Traian Iliescu +1

We propose, analyze, and investigate numerically a novel feedback control strategy for high Reynolds number flows. For both the continuous and the discrete (finite element) setting…

math.NA2023★ 8 cited

Higher-order adaptive virtual element methods with contraction properties

Claudio Canuto, Davide Fassino

The realization of a standard Adaptive Finite Element Method (AFEM) preserves the mesh conformity by performing a completion step in the refinement loop: in addition to elements ma…

math.NA2023★ 1 cited

Weighted reduced order methods for uncertainty quantification in computational fluid dynamics

Julien Genovese, Francesco Ballarin, Gianluigi Rozza +1

In this manuscript we propose and analyze weighted reduced order methods for stochastic Stokes and Navier-Stokes problems depending on random input data (such as forcing terms, phy…

math.NA2023★ 1 cited

Adaptive VEM for variable data: convergence and optimality

L. Beirão da Veiga, C. Canuto, R. H. Nochetto +2

We design an adaptive virtual element method (AVEM) of lowest order over triangular meshes with hanging nodes in 2d, which are treated as polygons. AVEM hinges on the stabilization…