CONTACT

  • Opens window for sending emailBernhard Wieland
  • Helmholtzstraße 20
  • Raum 1.45
  • 89081 Ulm
  • Telefon +49 (0)731 50-15391
  • Telefax +49 (0)731 50-23548
  • Postanschrift
  • Institut für Numerische Mathematik
  • Universität Ulm
  • 89069 Ulm

 

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)
  • Initiates file downloadMini-introduction to RBM (1 page, in German) 

 

PUBLICATIONS

2013-02Bernard Haasdonk, Karsten Urban and Bernhard Wieland
Initiates file downloadReduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences using the Karhunen-Loève Expansion 
SIAM/ASA J. Uncertainty Quantification, 1:79–105, 2013.
Opens external link in new windowPress 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 (Initiates file downloadBibTex)
Initiates file downloadAvailable as Preprint, Universität Ulm, July 2012 
2012-06Karsten Urban and Bernhard Wieland
Initiates file downloadAffine Decompositions of Parametric Stochastic Processes for Application within Reduced Basis Methods 
accepted for publication in 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

2013-01-23Initiates file downloadReduced 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
2012-10-03An 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
2012-09-11Initiates file downloadReduced 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
2012-08-29An 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
2012-02-15Initiates file downloadAffine Decompositions of Parametric Stochastic Processes for Application within Reduced Basis Methods 
@ MathMod, Vienna Conference on Mathematical Modelling, Vienna, February 14 - 17, 2012
2011-11-21Affine Decompositions of Parametric Stochastic Processes for Application within RBM
@ Workshop on Advances in POD and RB Model Order Reduction, Konstanz
2011-10-25Reduced Basis Methods for PDEs on Stochastic Domains
@ Summer School on Reduced Basis Methods, Günzburg Reisensburg, October 25-28, 2011
2011-02-08Reduced Basis Methods for PDEs with Stochastic Influences
@SimTech Network Seminar Model Reduction, Control and Real Time Simulation, Stuttgart
2010-12-08Initiates file downloadReduced Basis Methods for PDEs with Stochastic Influences 
@ Workshop on Reduced Basis Methods, Ulm, December 7-8, 2010
2010-07-12Reduced Basis Methods for Parametric PDEs with Stochastic Influences
@ Summer School Optimal Control of PDEs, Cortona, July 12-17, 2010

  

SHORT CV

Since 12/2009

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: Initiates file downloadSpeech 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

     

TEACHING

Sommersemester 2013: Opens internal link in current windowNumerik II, Übungen

Sommersemester 2013, 12, 11, 10: Mathematische Modellierung und Simulation in der Mechanik II: Dynamische Probleme, Übungen und Computerpraktikum

Wintersemester 2012/13, 11/12, 10/11: Mathematische Modellierung und Simulation in der Mechanik I: Statische Probleme, Übungen und Computerpraktikum

Sommersemester 2012: Modellierung und Simulation II für CSE, Übungen und Computerpraktikum

 

Dipl.-Math. Bernhard Wieland