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math.NA2024★ 4 cited
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…
math.NA2024★ 1 cited
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…