Elisabeth
Ullmann's Publications
Submitted
- Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems (with F.Y. Kuo, R. Scheichl, Ch. Schwab, and I.H. Sloan). (link to preprint)
Journals
- Multilevel estimation of rare events (with I.
Papaioannou). To appear in SIAM/ASA J. Uncert. Quantif., 2015. (link to preprint)
- Solving log-transformed random diffusion problems by
stochastic Galerkin mixed finite element methods (with C.E.
Powell). SIAM/ASA J. Uncert. Quantif. 3 (1), pp. 509 - 534, 2015. (link to full text)
- Mixed finite element analysis of lognormal diffusion
and multilevel Monte Carlo methods (with I.G. Graham and R.
Scheichl). Stochastic Partial Differential Equations: Analysis and Computations. Published online 12 June 2015. (link to full text)
- Further analysis of multilevel Monte Carlo
methods for elliptic PDEs with random coefficients
(with A.L. Teckentrup, R. Scheichl and M.B. Giles).
Numerische Mathematik 125
(3), pp. 569 - 600, 2013. (link to full text)
- Efficient iterative solvers for stochastic
Galerkin discretizations of log-transformed random
diffusion problems (with H. C. Elman and O. G.
Ernst). SIAM J. Sci. Comput. 34
(2), pp. A659 - A682, 2012. (link to full text)
- On the convergence of generalized polynomial chaos
expansions (with O. G. Ernst, A. Mugler and H.-J.
Starkloff). ESAIM: Math. Model. Numer. Anal.
46 (2), pp. 317 - 339, 2012. (link
to full text)
- Expansion of random field gradients using
hierarchical matrices (with I. Busch and O. G.
Ernst). Proc.
Appl. Math. Mech. 11 (1), pp. 911
- 914, 2011. (link
to full text)
- Preconditioning stochastic Galerkin saddle point
systems (with C. E. Powell). SIAM J. Matrix
Anal. Appl. 31 (5), pp.
2813-2840, 2010. (link to full text) (link to erratum)
- Stochastic Galerkin matrices (with O. G. Ernst).
SIAM J. Matrix Anal. Appl. 31
(4), pp. 1848-1872, 2010. (link to full text)
- A Kronecker product preconditioner for stochastic
Galerkin finite element discretizations. SIAM
J. Sci. Comput. 32 (2), pp.
923-946, 2010. (link to full text)
- Efficient solvers for a linear stochastic
Galerkin mixed formulation of diffusion problems
with random data (with O. G. Ernst, C. E. Powell and
D. J. Silvester). SIAM J. Sci. Comput. 31
(2), pp. 1424-1447, 2009. (link to full text)
- Computational aspects of the stochastic finite
element method (with M. Eiermann and O. G. Ernst). Comput.
Visual. Sci. 10 (1), pp.
3-15, 2007. (link to full text)
Theses
- Solution Strategies for Stochastic Finite Element
Discretizations. PhD thesis, Fakultät für Mathematik
und Informatik, TU Bergakademie Freiberg, 2008. (link to full text)
- Adaptive finite Element Methoden zur
Approximation von Grundwasserströmungen. Diploma
thesis, Institut für Angewandte Mathematik II, TU
Bergakademie Freiberg, 2002. (download pdf, 1.8 MB)
Technical reports
- Krylov subspace recycling methods in stochastic
finite element computations. Preprint 2008-02,
Fakultät für Mathematik und Informatik, TU
Bergakademie Freiberg, ISSN 1433-9307. (download pdf, 603 KB)