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math.NA2019★ 15 cited
A Geometrical Method for Low-Dimensional Representations of Simulations
Rodrigo Iza-Teran, Jochen Garcke
We propose a new data analysis approach for the efficient post-processing of bundles of finite element data from numerical simulations. The approach is based on the mathematical pr…
math.NA2019
Simplex Stochastic Collocation for Piecewise Smooth Functions with Kinks
Barbara Fuchs, Jochen Garcke
Most approximation methods in high dimensions exploit smoothness of the function being approximated. These methods provide poor convergence results for non-smooth functions with ki…