CONTACT

Bernhard Wieland
Telefon +49 (0)731 50-23536
Telefax +49 (0)731 50-23548

Postal Address
Institut für Numerische Mathematik
Universität Ulm
D-89069 Ulm
Germany

FIELD OF RESEARCH

REDUCED BASIS METHODS (RBM)
for parameterized PDEs with stochastic influences

PDEs with stochastic influences
- stochasticity in coefficients, right-hand side, domain
- linear and nonlinear, stationary and instationary PDEs
Affine decompositions of stochastic processes for application within the RBM
- connection of the Karhunen-Loeve expansion with the RBM
- modifications of the empirical interpolation method (EIM)
- implicit partitions of probability spaces
Efficient and rigorous a-posteriori error analysis
- error bounds for reduced random solutions
- error bounds for output functionals (linear and quadratic)
- error bounds moments and variance (quadratic output problems)
Mini-introduction to RBM (1 page, in German)

PUBLICATIONS

2013-10	Bernhard Wieland Implicit Partitioning Methods for Unknown Parameter Domains - in the Context of the Reduced Basis Method Preprint, Universität Ulm, October 2013
2013-04	Bernhard Wieland Reduced Basis Methods for Partial Differential Equations with Stochastic Influences PhD Thesis, Ulm University, April 2013
2013-02	Bernard Haasdonk, Karsten Urban and Bernhard Wieland Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences using the Karhunen-Loève Expansion SIAM/ASA J. Uncertainty Quantification, 1:79–105, 2013. Press release: launch of SIAM/ASA JUQ Volume 1
2012-09	Karsten Urban and Bernhard Wieland Reduced Basis Methods for Quadratically Nonlinear Partial Differential Equations with Stochastic Influences CD-ROM Proceedings ECCOMAS 2012, Vienna, Austria (BibTex) Available as Preprint, Universität Ulm, July 2012
2012-06	Karsten Urban and Bernhard Wieland Affine Decompositions of Parametric Stochastic Processes for Application within Reduced Basis Methods Proceedings MATHMOD 2012, 7th Vienna International Conference on Mathematical Modelling, 2012
2012-04	Bernard Haasdonk, Karsten Urban and Bernhard Wieland Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences using the Karhunen-Loève Expansion Preprint, Universität Ulm, April 2012

SELECTED TALKS

2013-01-23	Reduced Basis Methods for parametrized PDEs with stochastic influences @ 29th GAMM-Seminar Leipzig on Numerical Methods for Uncertainty Quantification, Max Planck Institute for Mathematics in the Sciences, January 21-23, 2013
2012-10-03	An Implicit Partitioning Method for Unknown Parameter Domains @ Second International Workshop on Model Reduction for Parametrized Systems (MoRePaS II), Schloss Reisensburg, Günzburg, October 2-5, 2012
2012-09-11	Reduced Basis Methods for quadratically nonlinear PDEs with stochastic influences @ ECCOMAS 2012, 6th European Conference on Computational Methods in Applied Science and Engineering, Vienna, September 10-14, 2012
2012-08-29	An Implicit Partitioning Method for Unknown Parameter Domains (in the context of RBMs with stochastic influences) @ Workoshop on Reduced Basis Methods, Freudenstadt, August 28-31, 2012
2012-02-15	Affine Decompositions of Parametric Stochastic Processes for Application within Reduced Basis Methods @ MathMod, Vienna Conference on Mathematical Modelling, Vienna, February 14 - 17, 2012
2011-11-21	Affine Decompositions of Parametric Stochastic Processes for Application within RBM @ Workshop on Advances in POD and RB Model Order Reduction, Konstanz
2011-10-25	Reduced Basis Methods for PDEs on Stochastic Domains @ Summer School on Reduced Basis Methods, Günzburg Reisensburg, October 25-28, 2011
2011-02-08	Reduced Basis Methods for PDEs with Stochastic Influences @SimTech Network Seminar Model Reduction, Control and Real Time Simulation, Stuttgart
2010-12-08	Reduced Basis Methods for PDEs with Stochastic Influences @ Workshop on Reduced Basis Methods, Ulm, December 7-8, 2010
2010-07-12	Reduced Basis Methods for Parametric PDEs with Stochastic Influences @ Summer School Optimal Control of PDEs, Cortona, July 12-17, 2010

SHORT CV

12/2009 to 06/2013: Doctoral Student at the Institute for Numerical Mathematics at Ulm University
Supported by the German federal state of Baden-Württemberg according to the “State Postgraduate Scholarships Act“ (Landesgraduiertenförderungsgesetz)
10/2003 to 10/2009: Studies of Mathematics at Ulm University, Minor in Computer Science
Thesis: Speech Signal Noise Reduction with Wavelets
Degree: Diplom Mathematiker
08/2007 to 05/2008: Studies in Applied Mathematics at Florida Institute of Technology in Melbourne, FL, United States of America
Scholarship: Fulbright Travel Grant
Degree: MSc in Applied Mathematics