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cs.LG2021
Data-driven reduced order modeling of environmental hydrodynamics using deep autoencoders and neural ODEs
Sourav Dutta, Peter Rivera-Casillas, Orie M. Cecil +3
Model reduction for fluid flow simulation continues to be of great interest across a number of scientific and engineering fields. In a previous work [arXiv:2104.13962], we explored…
math.NA2021
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces
Elena Bachini, Gianmarco Manzini, Mario Putti
We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial diffe…