Edit Profile Ullmann, Elisabeth Compute Distance To: Compute Author ID: ullmann.elisabeth Published as: Ullmann, E.; Ullmann, Elisabeth External Links: MGP · Wikidata · ORCID Documents Indexed: 22 Publications since 2007 all top 5 Co-Authors 1 single-authored 6 Latz, Jonas 5 Ernst, Oliver G. 4 Powell, Catherine Elizabeth 3 Papaioannou, Iason 3 Scheichl, Robert 1 Ahmad Ali, Ahmad 1 Bulté, Matthieu 1 Bungartz, Hans-Joachim 1 Eiermann, Michael 1 Eisenberger, Marvin 1 Elman, Howard C. 1 Farcas, Ionut-Gabriel 1 Giles, Michael B. 1 Graham, Ivan G. 1 Hinze, Michael 1 Kahle, Christian 1 Khristenko, Ustim 1 Kuo, Frances Y. 1 Lam, Kei Fong 1 Mugler, Antje 1 Neckel, Tobias 1 Scarabosio, Laura 1 Schaden, Daniel 1 Schwab, Christoph 1 Silvester, David J. 1 Sloan, Ian Hugh 1 Starkloff, Hans-Jörg 1 Swierczynski, Piotr 1 Teckentrup, Aretha L. 1 Wagner, Frank Olaf 1 Wohlmuth, Barbara I. all top 5 Serials 6 SIAM/ASA Journal on Uncertainty Quantification 5 SIAM Journal on Scientific Computing 3 SIAM Journal on Matrix Analysis and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Mathematics of Computation 1 Numerische Mathematik 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Stochastic and Partial Differential Equations. Analysis and Computations all top 5 Fields 22 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 15 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 17 Publications have been cited 338 times in 250 Documents Cited by ▼ Year ▼ On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth 82 2012 Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients. Zbl 1306.65009Teckentrup, A. L.; Scheichl, R.; Giles, M. B.; Ullmann, E. 60 2013 A Kronecker product preconditioner for stochastic Galerkin finite element discretizations. Zbl 1210.35306Ullmann, Elisabeth 28 2010 Stochastic Galerkin matrices. Zbl 1205.65021Ernst, Oliver G.; Ullmann, Elisabeth 25 2010 Computational aspects of the stochastic finite element method. Zbl 1123.65004Eiermann, Michael; Ernst, Oliver G.; Ullmann, Elisabeth 24 2007 Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth 23 2017 Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. Zbl 1187.35298Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. 21 2009 Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems. Zbl 1251.35200Ullmann, Elisabeth; Elman, Howard C.; Ernst, Oliver G. 18 2012 Multilevel estimation of rare events. Zbl 1327.65246Ullmann, Elisabeth; Papaioannou, Iason 13 2015 Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. Zbl 1371.65008Graham, I. G.; Scheichl, R.; Ullmann, E. 11 2016 Preconditioning stochastic Galerkin saddle point systems. Zbl 1216.65010Powell, Catherine E.; Ullmann, Elisabeth 9 2010 Multilevel sequential Monte Carlo for Bayesian inverse problems. Zbl 1392.65012Latz, Jonas; Papaioannou, Iason; Ullmann, Elisabeth 8 2018 Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael 6 2017 Fast sampling of parameterised Gaussian random fields. Zbl 1441.65001Latz, Jonas; Eisenberger, Marvin; Ullmann, Elisabeth 3 2019 Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields. Zbl 07118418Khristenko, U.; Scarabosio, L.; Swierczynski, P.; Ullmann, E.; Wohlmuth, B. 3 2019 Bayesian parameter identification in Cahn-Hilliard models for biological growth. Zbl 1422.65239Kahle, Christian; Lam, Kei Fong; Latz, Jonas; Ullmann, Elisabeth 3 2019 Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods. Zbl 1325.65018Ullmann, Elisabeth; Powell, Catherine E. 1 2015 Fast sampling of parameterised Gaussian random fields. Zbl 1441.65001Latz, Jonas; Eisenberger, Marvin; Ullmann, Elisabeth 3 2019 Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields. Zbl 07118418Khristenko, U.; Scarabosio, L.; Swierczynski, P.; Ullmann, E.; Wohlmuth, B. 3 2019 Bayesian parameter identification in Cahn-Hilliard models for biological growth. Zbl 1422.65239Kahle, Christian; Lam, Kei Fong; Latz, Jonas; Ullmann, Elisabeth 3 2019 Multilevel sequential Monte Carlo for Bayesian inverse problems. Zbl 1392.65012Latz, Jonas; Papaioannou, Iason; Ullmann, Elisabeth 8 2018 Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth 23 2017 Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael 6 2017 Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. Zbl 1371.65008Graham, I. G.; Scheichl, R.; Ullmann, E. 11 2016 Multilevel estimation of rare events. Zbl 1327.65246Ullmann, Elisabeth; Papaioannou, Iason 13 2015 Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods. Zbl 1325.65018Ullmann, Elisabeth; Powell, Catherine E. 1 2015 Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients. Zbl 1306.65009Teckentrup, A. L.; Scheichl, R.; Giles, M. B.; Ullmann, E. 60 2013 On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth 82 2012 Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems. Zbl 1251.35200Ullmann, Elisabeth; Elman, Howard C.; Ernst, Oliver G. 18 2012 A Kronecker product preconditioner for stochastic Galerkin finite element discretizations. Zbl 1210.35306Ullmann, Elisabeth 28 2010 Stochastic Galerkin matrices. Zbl 1205.65021Ernst, Oliver G.; Ullmann, Elisabeth 25 2010 Preconditioning stochastic Galerkin saddle point systems. Zbl 1216.65010Powell, Catherine E.; Ullmann, Elisabeth 9 2010 Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. Zbl 1187.35298Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. 21 2009 Computational aspects of the stochastic finite element method. Zbl 1123.65004Eiermann, Michael; Ernst, Oliver G.; Ullmann, Elisabeth 24 2007 all cited Publications top 5 cited Publications all top 5 Cited by 445 Authors 17 Scheichl, Robert 16 Schwab, Christoph 13 Nobile, Fabio 12 Ullmann, Elisabeth 11 Tempone, Raúl F. 8 Kuo, Frances Y. 7 Elman, Howard C. 7 Willcox, Karen E. 6 Giles, Michael B. 6 Graham, Ivan G. 6 Herrmann, Lukas 6 Nuyens, Dirk 6 Peherstorfer, Benjamin 6 Powell, Catherine Elizabeth 6 Sloan, Ian Hugh 6 Teckentrup, Aretha L. 5 Cortés López, Juan Carlos 5 Eigel, Martin 5 Gunzburger, Max D. 5 Latz, Jonas 5 Narayan, Akil C. 4 Dolgov, Sergey V. 4 Haji-Ali, Abdul-Lateef 4 Krumscheid, Sebastian 4 Matthies, Hermann Georg 4 Najm, Habib N. 4 Papaioannou, Iason 4 Pultarová, Ivana 4 Rahman, Sharif 4 Soize, Christian 4 Webster, Clayton G. 4 Zhou, Tao 3 Augustin, Florian 3 Barth, Andrea 3 Calatayud, Julia 3 Chen, Peng 3 Dick, Josef 3 Doostan, Alireza 3 Harbrecht, Helmut 3 Hoel, Hakon A. 3 Jakeman, John Davis 3 Jornet, Marc 3 Ketelsen, Christian 3 Kirchner, Kristin 3 Lee, Kookjin 3 Litvinenko, Alexander 3 Pulch, Roland 3 Sarkar, Abhijit 3 Shi, Wenjie 3 Sousedík, Bedřich 3 Stein, Andreas 3 Subber, Waad 3 Vandewalle, Stefan G. 3 Venturi, Daniele 3 von Schwerin, Erik 3 Zhang, Chengjian 3 Zhang, Guannan 2 Aboulaich, Rajae 2 Bal, Guillaume 2 Beck, Joakim 2 Benner, Peter 2 Dahlke, Stephan 2 Dodwell, Timothy J. 2 Döhring, Nicolas 2 El Guarmah, El Mahdi 2 Fikal, Najib 2 Ganesh, Mahadevan 2 Gantner, Robert Nicholas 2 Ghanem, Roger G. 2 Gittelson, Claude Jeffrey 2 Guo, Ling 2 Hall, Eric Joseph 2 Hawkins, Stuart Collin 2 Hesthaven, Jan S. 2 Jantsch, P. 2 Jiang, Lijian 2 Karniadakis, George Em 2 Khoromskij, Boris N. 2 Kinzel, Stefan 2 Krämer, Boris 2 Kressner, Daniel 2 Le Gia, Quoc Thong 2 Le Maître, Olivier P. 2 Levajković, Tijana 2 Marschall, Manuel 2 Marzouk, Youssef M. 2 Multerer, Michael D. 2 Nguyen, Ngoc Cuong 2 Nouy, Anthony 2 Onwunta, Akwum 2 Özen, Hasan Çağan 2 Pagnacco, Emmanuel 2 Peraire, Jaime 2 Peters, Michael D. 2 Pfeffer, Max 2 Phipps, Eric T. 2 Pisaroni, M. 2 Pivovarov, Dmytro 2 Plešinger, Martin 2 Pranesh, Srikara ...and 345 more Authors all top 5 Cited in 72 Serials 45 SIAM/ASA Journal on Uncertainty Quantification 20 Journal of Computational Physics 19 Computer Methods in Applied Mechanics and Engineering 19 SIAM Journal on Scientific Computing 12 Numerische Mathematik 8 Computers & Mathematics with Applications 6 SIAM Journal on Numerical Analysis 6 Numerical Linear Algebra with Applications 6 Stochastic and Partial Differential Equations. Analysis and Computations 5 Journal of Computational and Applied Mathematics 5 Computational Mechanics 4 Mathematics of Computation 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Review 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Linear Algebra and its Applications 3 Foundations of Computational Mathematics 3 Multiscale Modeling & Simulation 2 Journal of Mathematical Analysis and Applications 2 BIT 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Computational Geosciences 2 Archives of Computational Methods in Engineering 2 Mathematical Modelling of Natural Phenomena 2 Journal of Mathematics in Industry 1 Advances in Applied Probability 1 International Journal of Engineering Science 1 Inverse Problems 1 Physics Reports 1 Applied Mathematics and Computation 1 Calcolo 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Journal of Applied Probability 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Journal of Complexity 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal of Mathematical Imaging and Vision 1 International Journal of Computer Vision 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Stochastics 1 GAMM-Mitteilungen 1 Electronic Journal of Statistics 1 Mathematical Geosciences 1 Journal of Nonlinear Science and Applications 1 GEM - International Journal on Geomathematics 1 Journal of Probability and Statistics 1 Symmetry 1 Statistics and Computing 1 ISRN Applied Mathematics 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 Open Mathematics 1 SMAI Journal of Computational Mathematics all top 5 Cited in 31 Fields 206 Numerical analysis (65-XX) 121 Probability theory and stochastic processes (60-XX) 99 Partial differential equations (35-XX) 33 Statistics (62-XX) 23 Fluid mechanics (76-XX) 22 Mechanics of deformable solids (74-XX) 14 Approximations and expansions (41-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Ordinary differential equations (34-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Computer science (68-XX) 9 Systems theory; control (93-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 5 Special functions (33-XX) 5 Integral equations (45-XX) 5 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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