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)