Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients KA Cliffe, MB Giles, R Scheichl, AL Teckentrup Computing and Visualization in Science 14 (1), 3, 2011 | 327 | 2011 |

Domain decomposition for multiscale PDEs IG Graham, PO Lechner, R Scheichl Numerische Mathematik 106 (4), 589-626, 2007 | 165 | 2007 |

Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods J Charrier, R Scheichl, AL Teckentrup SIAM Journal on Numerical Analysis 51 (1), 322-352, 2013 | 144 | 2013 |

Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients AL Teckentrup, R Scheichl, MB Giles, E Ullmann Numerische Mathematik 125 (3), 569-600, 2013 | 126 | 2013 |

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Numerische Mathematik 126 (4), 741-770, 2014 | 117 | 2014 |

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications IG Graham, FY Kuo, D Nuyens, R Scheichl, IH Sloan Journal of Computational Physics 230 (10), 3668-3694, 2011 | 117 | 2011 |

Analysis of FETI methods for multiscale PDEs C Pechstein, R Scheichl Numerische Mathematik 111 (2), 293-333, 2008 | 92 | 2008 |

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients IG Graham, FY Kuo, JA Nichols, R Scheichl, C Schwab, IH Sloan Numerische Mathematik 131 (2), 329-368, 2015 | 70 | 2015 |

Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps V Dolean, F Nataf, R Scheichl, N Spillane Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 12 …, 2012 | 70 | 2012 |

Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients R Scheichl, E Vainikko Computing 80 (4), 319-343, 2007 | 70 | 2007 |

Robust domain decomposition algorithms for multiscale PDEs IG Graham, R Scheichl Numerical Methods for Partial Differential Equations: An International …, 2007 | 62 | 2007 |

Parallel computation of flow in heterogeneous media modelled by mixed finite elements KA Cliffe, IG Graham, R Scheichl, L Stals Journal of Computational Physics 164 (2), 258-282, 2000 | 60 | 2000 |

Analysis of FETI methods for multiscale PDEs. Part II: interface variation C Pechstein, R Scheichl Numerische Mathematik 118 (3), 485-529, 2011 | 59 | 2011 |

A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow TJ Dodwell, C Ketelsen, R Scheichl, AL Teckentrup SIAM/ASA Journal on Uncertainty Quantification 3 (1), 1075-1108, 2015 | 58 | 2015 |

Decoupling and block preconditioning for sedimentary basin simulations R Scheichl, R Masson, J Wendebourg Computational Geosciences 7 (4), 295-318, 2003 | 57 | 2003 |

Weighted poincaré inequalities C Pechstein, R Scheichl IMA Journal of Numerical Analysis 33 (2), 652-686, 2013 | 47 | 2013 |

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems P Bastian, M Blatt, R Scheichl Numerical Linear Algebra with Applications 19 (2), 367-388, 2012 | 47 | 2012 |

Massively parallel solvers for elliptic partial differential equations in numerical weather and climate prediction EH Müller, R Scheichl Quarterly Journal of the Royal Meteorological Society 140 (685), 2608-2624, 2014 | 45 | 2014 |

Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems B Aksoylu, IG Graham, H Klie, R Scheichl Computing and Visualization in Science 11 (4-6), 319-331, 2008 | 44 | 2008 |

A robust two-level domain decomposition preconditioner for systems of PDEs N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Comptes Rendus Mathematique 349 (23-24), 1255-1259, 2011 | 39 | 2011 |