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math.NA2019★ 3 cited
Multilevel Monte Carlo Simulations of Composite Structures with Uncertain Manufacturing Defects
T. J. Dodwell, S. Kinston, R. Butler +3
By adopting a Multilevel Monte Carlo (MLMC) framework, we show that only a handful of costly fine scale computations are needed to accurately estimate statistics of the failure of…
math.NA2019
High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites
Richard Butler, Tim Dodwell, Anne Reinarz +3
The key innovation in this paper is an open-source, high-performance iterative solver for high contrast, strongly anisotropic elliptic partial differential equations implemented wi…