1 citations · 1 across the 5 of their papers we have counts for
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Conforming and non-conforming virtual element methods for the biharmonic Steklov eigenvalue problem with minimum regularity
Dibyendu Adak, Daniele Boffi, Francesca Gardini +2
In this work, we analyze the conforming and -non-conforming Virtual Element Method for a fourth-order Steklov eigenvalue problem on a generally shaped, possibly nonconvex, pol…
The low-rank tensor-train finite difference method for three-dimensional parabolic equations
Gianmarco Manzini, Tommaso Sorgente
This paper presents a numerical framework for the low-rank approximation of the solution to three-dimensional parabolic problems. The key contribution of this work is the tensoriza…
A Fast, Accurate and Oscillation-free Spectral Collocation Solver for High-dimensional Transport Problems
Nicola Cavallini, Gianmarco Manzini, Daniele Funaro +1
Transport phenomena-describing the movement of particles, energy, or other physical quantities-are fundamental in various scientific disciplines, including nuclear physics, plasma…
A Low-Rank QTT-based Finite Element Method for Elasticity Problems
Elena Benvenuti, Gianmarco Manzini, Marco Nale +1
We present an efficient and robust numerical algorithm for solving the two-dimensional linear elasticity problem that combines the Quantized Tensor Train format and a domain partit…
Mesh Optimization for the Virtual Element Method: How Small Can an Agglomerated Mesh Become?
Tommaso Sorgente, Stefano Berrone, Silvia Biasotti +3
We present an optimization procedure for generic polygonal or polyhedral meshes, tailored for the Virtual Element Method (VEM). Once the local quality of the mesh elements is analy…
The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification
Steven Walton, Svetlana Tokareva, Gianmarco Manzini
The stochastic finite volume method offers an efficient one-pass approach for assessing uncertainty in hyperbolic conservation laws. Still, it struggles with the curse of dimension…