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Robert Scheichl
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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, 3-15, 2011
6422011
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
2592013
Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
AL Teckentrup, R Scheichl, MB Giles, E Ullmann
Numerische Mathematik 125, 569-600, 2013
2542013
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, 741-770, 2014
2532014
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
2122011
Domain decomposition for multiscale PDEs
IG Graham, PO Lechner, R Scheichl
Numerische Mathematik 106, 589-626, 2007
2092007
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
181*2015
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, 329-368, 2015
1732015
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 12 (4), 391-414, 2012
1402012
A Stein variational Newton method
G Detommaso, T Cui, Y Marzouk, A Spantini, R Scheichl
Advances in Neural Information Processing Systems 31, 2018
1292018
Analysis of FETI methods for multiscale PDEs
C Pechstein, R Scheichl
Numerische Mathematik 111 (2), 293-333, 2008
1072008
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems
F Kuo, R Scheichl, C Schwab, I Sloan, E Ullmann
Mathematics of Computation 86 (308), 2827-2860, 2017
1042017
Decoupling and block preconditioning for sedimentary basin simulations
R Scheichl, R Masson, J Wendebourg
Computational Geosciences 7, 295-318, 2003
942003
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
882012
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
852014
Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients
R Scheichl, E Vainikko
Computing 80, 319-343, 2007
79*2007
Weighted poincaré inequalities
C Pechstein, R Scheichl
IMA Journal of Numerical Analysis 33 (2), 652-686, 2013
782013
Analysis of FETI methods for multiscale PDEs. Part II: interface variation
C Pechstein, R Scheichl
Numerische Mathematik 118, 485-529, 2011
782011
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
752000
Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems
R Scheichl, AM Stuart, AL Teckentrup
SIAM/ASA Journal on Uncertainty Quantification 5 (1), 493-518, 2017
742017
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