79 citations · 258 across the 61 of their papers we have counts for
4 papers · 2 filters
Mixed Finite Element Analysis of Lognormal Diffusion and Multilevel Monte Carlo Methods
Ivan G. Graham, Robert Scheichl, Elisabeth Ullmann
This work is motivated by the need to develop efficient tools for uncertainty quantification in subsurface flows associated with radioactive waste disposal studies. We consider sin…
Regularity for Maxwell eigenproblems in photonic crystal fibre modelling
Monique Dauge, Richard A. Norton, Robert Scheichl
The convergence behaviour and the design of numerical methods for modelling the flow of light in photonic crystal fibres depend critically on an understanding of the regularity of…
A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow
T. J. Dodwell, C. Ketelsen, R. Scheichl +1
In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo methods for large--scale applications with high dimensional…
Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs
Eike Mueller, Xu Guo, Robert Scheichl +1
Many problems in geophysical and atmospheric modelling require the fast solution of elliptic partial differential equations (PDEs) in "flat" three dimensional geometries. In partic…