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Showing 2013 · math.NAShow all
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math.NA2013
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…
math.NA2013★ 3 cited
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…
math.NA2013★ 9 cited
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…