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math.NA2016
Uncertainty Quantification for PDEs with Anisotropic Random Diffusion
Helmut Harbrecht, Michael Peters, Marc Schmidlin
In this article, we consider elliptic diffusion problems with an anisotropic random diffusion coefficient. We model the notable direction in terms of a random vector field and deri…
math.NA2016
Multilevel tensor approximation of PDEs with random data
Jonas Ballani, Daniel Kressner, Michael Peters
In this paper, we introduce and analyze a new low-rank multilevel strategy for the solution of random diffusion problems. Using a standard stochastic collocation scheme, we first a…