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Elisabeth Ullmann
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On the convergence of generalized polynomial chaos expansions
OG Ernst, A Mugler, HJ Starkloff, E Ullmann
ESAIM: Mathematical Modelling and Numerical Analysis 46 (2), 317-339, 2012
5632012
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
2642013
Computational aspects of the stochastic finite element method
M Eiermann, OG Ernst, E Ullmann
Computing and visualization in science 10 (1), 3-15, 2007
1382007
Stochastic Galerkin matrices
OG Ernst, E Ullmann
SIAM Journal on Matrix Analysis and Applications 31 (4), 1848-1872, 2010
1272010
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
1082017
A Kronecker product preconditioner for stochastic Galerkin finite element discretizations
E Ullmann
SIAM Journal on Scientific Computing 32, 923-946, 2010
1042010
Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data
OG Ernst, CE Powell, S David J, E Ullmann
SIAM Journal on Scientific Computing 31 (2), 1424-1447, 2009
982009
Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems
E Ullmann, HC Elman, OG Ernst
SIAM Journal on Scientific Computing 34 (2), A659 - A682, 2012
922012
Multilevel Sequential Monte Carlo for Bayesian Inverse Problems
J Latz, I Papaioannou, E Ullmann
Journal of Computational Physics 368, 154-178, 2018
632018
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients
A Ahmad Ali, E Ullmann, M Hinze
SIAM/ASA J. Uncertainty Quantification 5 (1), 466 - 492, 2017
612017
Multilevel estimation of rare events
E Ullmann, I Papaioannou
SIAM/ASA J. Uncertainty Quantification 3 (1), 922-953, 2015
562015
Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields
U Khristenko, L Scarabosio, P Swierczynski, E Ullmann, B Wohlmuth
SIAM/ASA Journal on Uncertainty Quantification 7 (3), 948-974, 2019
472019
EP-PINNs: Cardiac electrophysiology characterisation using physics-informed neural networks
C Herrero Martin, A Oved, RA Chowdhury, E Ullmann, NS Peters, ...
Frontiers in Cardiovascular Medicine 8, 768419, 2022
462022
Solution strategies for stochastic finite element discretizations
E Ullmann
442008
Preconditioning Stochastic Galerkin Saddle Point Problems
CE Powell, E Ullmann
Preprint 31, 2009
432009
On multilevel best linear unbiased estimators
D Schaden, E Ullmann
SIAM/ASA J. Uncertainty Quantification 8 (2), 601 - 635, 2020
412020
Preconditioning stochastic Galerkin saddle point systems
CE Powell, E Ullmann
SIAM Journal on Matrix Analysis and Applications 31 (5), 2813-2840, 2010
402010
Mixed Finite Element analysis of lognormal diffusion and multilevel Monte Carlo methods
IG Graham, R Scheichl, E Ullmann
Stochastic Partial Differential Equations: Analysis and Computations, 2015
302015
Fast sampling of parameterised Gaussian random fields
J Latz, M Eisenberger, E Ullmann
Computer Methods in Applied Mechanics and Engineering 348, 978-1012, 2019
282019
Multilevel sequential importance sampling for rare event estimation
F Wagner, J Latz, I Papaioannou, E Ullmann
SIAM Journal on Scientific Computing 42 (4), A2062–A2087, 2020
272020
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