Elisabeth Ullmann
TitleCited byYear
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
3392012
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
1722013
Stochastic Galerkin matrices
OG Ernst, E Ullmann
SIAM Journal on Matrix Analysis and Applications 31 (4), 1848-1872, 2010
1062010
Computational aspects of the stochastic finite element method
M Eiermann, OG Ernst, E Ullmann
Computing and visualization in science 10 (1), 3-15, 2007
1052007
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
832009
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
792012
A Kronecker product preconditioner for stochastic Galerkin finite element discretizations
E Ullmann
SIAM Journal on Scientific Computing 32, 923-946, 2010
782010
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
552017
Preconditioning Stochastic Galerkin Saddle Point Problems
CE Powell, E Ullmann
Preprint 31, 2009
432009
Preconditioning stochastic Galerkin saddle point systems
CE Powell, E Ullmann
SIAM Journal on Matrix Analysis and Applications 31 (5), 2813-2840, 2010
372010
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
272015
Multilevel estimation of rare events
E Ullmann, I Papaioannou
SIAM/ASA J. Uncertainty Quantification 3 (1), 922-953, 2015
242015
Multilevel Sequential Monte Carlo for Bayesian Inverse Problems
J Latz, I Papaioannou, E Ullmann
Journal of Computational Physics 368, 154-178, 2018
202018
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
162017
Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods
E Ullmann, C Powell
SIAM/ASA J. Uncertainty Quantification 3 (1), 509–534, 2015
102015
Fast sampling of parameterised Gaussian random fields
J Latz, M Eisenberger, E Ullmann
Computer Methods in Applied Mechanics and Engineering 348, 978-1012, 2019
82019
Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields
U Khristenko, L Scarabosio, P Swierczynski, E Ullmann, B Wohlmuth
arXiv preprint arXiv:1809.07570, 2018
72018
Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth
C Kahle, KF Lam, J Latz, E Ullmann
SIAM/ASA Journal on Uncertainty Quantification 7 (2), 526-552, 2019
42019
Expansion of random field gradients using hierarchical matrices
I Busch, OG Ernst, E Ullmann
PAMM 11 (1), 911-914, 2011
32011
Multilevel adaptive sparse Leja approximations for Bayesian inverse problems
IG Farcas, J Latz, E Ullmann, T Neckel, HJ Bunagrtz
arXiv preprint arXiv:1904.12204, 2019
12019
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Articles 1–20