Research Associate at Universität Hamburg. Research Associate at University of Bath



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Elisabeth Ullmann Fachbereich Mathematik Universität Hamburg Bundesstr. 55, 20146 Hamburg, Germany Phone: +49 (0)40 42838 5151 E-mail: elisabeth.ullmann@uni-hamburg.de Personal Data Citizenship: Germany Education 2002 2008 Doctorate in Mathematics (Dr. rer. nat.) at TU Bergakademie Freiberg, Germany Dissertation: Solution Strategies for Stochastic Finite Element Discretizations Rating: summa cum laude, Supervisor: Oliver G. Ernst 1997 2002 Diploma in Applied Mathematics (Dipl.-Math.) at TU Bergakademie Freiberg Thesis: Adaptive Finite Element Methods for Groundwater Flow Calculations (in German), Supervisor: Oliver G. Ernst Professional Experience July 2014 present Research Associate at Universität Hamburg July 2011 June 2014 Research Associate at University of Bath August 2008 June 2011 Postdoctoral Research Associate in the German Research Foundation (DFG) Priority Program 1324 Extraction of quantifiable information from complex systems at TU Bergakademie Freiberg April September 2009 Visiting Research Associate at University of Maryland, College Park, USA June 2002 July 2008 Research Associate and Teaching Assistant at the Department of Mathematics and Computer Science, TU Bergakademie Freiberg Memberships SIAM GAMM Society for Industrial and Applied Mathematics Activity Group on Uncertainty Quantification Activity Group Applied and Numerical Linear Algebra Awards 2008 Michael-Jürgen-Leisler-Kiep Travel Fellowship, awarded annually by the TU Bergakademie Freiberg to young researchers for a study trip to a scientific institution prior in North America.

Research Experience 2011 2014 Postdoctoral Researcher in project Multilevel Monte Carlo Methods for Elliptic Problems with Applications to Radioactive Waste Disposal funded by the EPSRC. Principal Investigator: Prof. Scheichl (Bath) 2009 2011 Participated in joint project on Probabilistic Uncertainty Quantification for Subsurface Flows applied to Radioactive Waste Disposal and C02 Sequestration with Prof. Cliffe (University of Nottingham, UK) and Prof. Ernst and Prof. van den Boogaart (Freiberg) sponsored by the German Academic Exchange Service (DAAD). 2008 2011 Postdoctoral Researcher in project Stochastic Galerkin Methods: Fundamentals and Algorithms funded by the DFG Priority Program 1324. Principal Investigators: Prof. Ernst (Freiberg) and Prof. Starkloff (Zwickau). Topic: Efficient iterative solvers for stochastic Galerkin discretizations of PDEs with random data. Research Interests Uncertainty quantification for PDE-based simulations in science and engineering Discretizations, solvers and estimators for partial differential equations with random data Multilevel Monte Carlo estimators Stochastic Galerkin methods Finite element methods, in particular mixed elements Numerical Linear Algebra: Iterative solvers, Krylov subspace methods, Preconditioning Estimation of rare events Professional Activities Referee for Journals IMA Journal of Numerical Analysis Journal of Computational Physics Numerische Mathematik SIAM Journal on Matrix Analysis and Applications SIAM Journal on Scientific Computing SIAM/ASA Journal on Uncertainty Quantification Reviewer AMS Mathematical Reviews (since 2012) Organizer April 2011 GAMM Annual Meeting, Graz, Austria. Co-organizer: Eveline Rosseel Minisymposium Title: Numerical Methods for PDEs with Uncertainties Selected in annual GAMM Young Researcher s Minisymposium contest. Summer Term 2015 Co-organizer of public lecture series Mathematics and Simulation of Uncertain Complex Systems (in German), Universität Hamburg.

Publications Submitted Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods. (with C. E. Powell). MIMS Preprint 2014.76, University of Manchester, December 2014. Multilevel estimation of rare events. (with I. Papaioannou). Hamburger Beiträge zur Angew. Mathematik 2014-24, October 2014. Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. (with R. Scheichl and I. G. Graham). Available from arxiv.org:1312.6047 Journals 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 (2013), pp. 569 600. 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 (2012), pp. A659 A682. On the convergence of generalized polynomial chaos expansions. (with O. G. Ernst, A. Mugler, and H.-J. Starkloff). ESAIM: Math. Model. Numer. Anal., 46 (2012), pp. 317 339. Expansion of random field gradients using hierarchical matrices. (with I. Busch and O. G. Ernst). Proc. Appl. Math. Mech., 11 (2011), pp. 911 914. A Kronecker product preconditioner for stochastic Galerkin finite element discretizations. SIAM J. Sci. Comput., 32 (2010), pp. 923 946. Stochastic Galerkin matrices. (with O. G. Ernst). SIAM J. Matrix Anal. Appl., 31 (2010), pp. 1848 1872. Preconditioning stochastic Galerkin saddle point systems. (with C. E. Powell). SIAM J. Matrix Anal. Appl., 31 (2010), pp. 2813 2840. 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 (2009), pp. 1424 1447. Computational aspects of the stochastic finite element method. (with M. Eiermann and O. G. Ernst). Comput. Visual. Sci., 10 (2007), pp. 3 15. Theses Solution Strategies for Stochastic Finite Element Discretizations. Dissertation, Fakultät für Mathematik und Informatik, TU Bergakademie Freiberg, June 2008. Adaptive finite Element Methoden zur Approximation von Grundwasserströmungen. Diploma Thesis, Institut für Angewandte Mathematik II, TU Bergakademie Freiberg, May 2002.

Selected Conferences, Workshops, Seminars Invited Talk September 2014 July 2014 April 2014 March 2014 September 2013 June 2013 June 2013 January 2013 October 2012 June 2012 February 2012 January 2012 June 2011 April 2011 February 2011 May 2010 Numer. Analysis and Scient. Computing Seminar, University of Manchester, UK 11th World Congress on Computational Mechanics, Barcelona, Spain (MS) SIAM Conference on Uncertainty Quantification, Savannah, GA (MS) Mathematics and Statistics for Metrology (MATHMET 2014), Physikalisch- Technische Bundesanstalt, Institut Berlin, Germany (Invited Plenary) Symposium on Stochastic Parameterisation in Weather and Climate Models, Bonn, Germany 25th Biennial Conference on Numerical Analysis, Glasgow, UK (MS) SIAM Conf. on Math. and Comput. Issues in the Geosciences, Padova, Italy (MS) Engineering Risk Analysis Group, TU München, Germany (Seminar) Numerical Analysis Group, Rutherford Appleton Laboratory, Didcot, UK (Seminar) Numerical Analysis of Stochastic PDEs (NASPDE) Workshop, Warwick, UK Tenth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Sydney, Australia (MS) University of Manchester, Workshop on Linear Algebra and PDEs with Random Data Householder Symposium XVIII, Tahoe City, CA Received U.S. Dept of Energy travel funding. 82nd GAMM Annual Meeting, Graz, Austria Received NAWI Graz travel funding. 20th Int. Conference on Domain Decomposition Methods, San Diego, CA (MS) Received DAAD travel grant, declined conference travel funding. ICMS Workshop on Uncertainty Quantification, Royal Society of Edinburgh, UK Talk May 2013 January 2013 March 2012 Workshop on Numerical Methods for Uncertainty Quantification, Hausdorff Center for Mathematics, Bonn, Germany 29th GAMM Seminar on Numerical Methods for UQ, MPI Leipzig, Germany SIAM Conference on Uncertainty Quantification, Raleigh, NC Programs September 2011 January 2011 Ideas Sandpit 2: Substainable Water, University of Bath In-house multidisciplinary workshop for academic staff at University of Bath. Topics: Water availability, use and challenges to recycling. Research Networks Training Workshop, Amsterdam Workshop for Early Career Researchers organized by the British Council. Topics: Management of an international research career with focus on creativity, innovation, collaboration, and impact. Participation awarded by the British Council.

Teaching and Supervision 2014 present PhD thesis of Ahmad Ali: Optimal control of semilinear equations with state constraints (jointly with Prof. Michael Hinze), Universität Hamburg Summer Term 2015 Lecturer for the course Numerical Methods for Stochastic Differential Equations attended by Master s students in Mathematics at the Universität Hamburg Winter Term 2014 Supervision of a Pro/Seminar Least Squares Estimation and Kalman Filter attended by Bachelor s and Master s students in Mathematics at the Universität Hamburg Teaching assistant for the course Everything you always wanted to know about linear systems of equations attended by Master s students in Education at the Universität Hamburg 2013 Lecturer for the Numerical Methods section of the course Advanced Mathematical Modelling attended by Year 3 Undergraduate Chemical Engineering students at the University of Bath 2011 12 Tutor for the following courses attended by Year 2 Undergraduate Mathematics students at the University of Bath: Numerical Analysis Partial Differential Equations and Continuum Mechanics 2002 2009 As a teaching assistant I developed or graded problem sets and exams, held review sessions and office hours and on occasion substituted for the instructor in the following courses given by the faculty of the Institut für Numerische Mathematik und Optimierung at TU Bergakademie Freiberg: Numerical Analysis Numerical Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Finite Element Method Algorithms and Data Structures Advanced Mathematical Methods for Scientists (Calculus, Linear Algebra, ODEs)

References Prof. Armin Iske Fachbereich Mathematik Universität Hamburg Bundesstr. 55, 20146 Hamburg, Germany armin.iske@uni-hamburg.de Prof. Robert Scheichl Department of Mathematical Sciences University of Bath Bath BA2 7AY, United Kingdom R.Scheichl@bath.ac.uk Prof. Oliver G. Ernst Fakultät für Mathematik Technische Universität Chemnitz 09107 Chemnitz, Germany oliver.ernst@mathematik.tu-chemnitz.de Prof. Howard C. Elman Department of Computer Science University of Maryland College Park, MD 20742, USA elman@cs.umd.edu Prof. David J. Silvester School of Mathematics The University of Manchester Manchester M13 9PL, UK david.silvester@manchester.ac.uk April 11, 2015 (Elisabeth Ullmann)