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math.NA2023
Two-Scale Finite Element Approximation of a Homogenized Plate Model
Martin Rumpf, Stefan Simon, Christoph Smoch
This paper studies the discretization of a homogenization and dimension reduction model for the elastic deformation of microstructured thin plates proposed by Hornung, Neukamm, and…
math.NA2023★ 2 cited
Approximation of Splines in Wasserstein Spaces
Jorge Justiniano, Martin Rumpf, Matthias Erbar
This paper investigates a time discrete variational model for splines in Wasserstein spaces to interpolate probability measures. Cubic splines in Euclidean space are known to minim…