Rapid Reliable Solution
of the Parametrized Partial Differential Equations
of Continuum Mechanics and Transport



Methodology: Seminar Presentations

We include here selected recent presentations of our group relevant to reduced basis approximation and a posteriori error estimation.

Note this list has been recently pruned and re-ordered. We have archived the original list in the event that you might wish to refer to it.

42. AT Patera, Playing with (Helmholtz) Blocks: Interactive Analysis and Design of Musical Instrument Air Columns, Center for New Music - IRCAM Workshop, Boston University, Boston, MA, April 27, 2016. pdf slideshow (presentation) | Accompanying Musical Examples (.zip file)

41. AT Patera, Model Reduction for Fast Optimization and Identification of PDE-Constrained Systems. Application to Acoustics and Elasticity, Optimal Control and Inverse Problems 2016, Technical University of Munich, Munich, Germany, March 14–16, 2016. pdf slideshow (presentation)

40. AT Patera, PDE Apps for Education, Boeing Distinguished Colloquia, Department of Applied Mathematics, University of Washington, Seattle, WA, January 14, 2016. pdf slideshow (presentation)

39. AT Patera, PDE Apps for Education, SUTD-MIT International Design Center, Singapore University of Technology and Design, Singapore, 13 May 2015. pdf slideshow (presentation)

38. M Yano, An Extracted-Domain Parametrized-Background Data-Weak Formulation for Variational Data Assimilation: Real-Time In-Situ State Estimation in Complex Environments, ONR BRC Annual Meeting, Stanford University, Palo Alto, CA, 27–28 May 2014. pdf slideshow (presentation) | The video presented in the talk is also available.

37. AT Patera, Real-Time In Situ Variational Data Assimilation: A Parametrized-Background Weak-Data Approach, University of Bordeaux & INRIA, Bordeaux, France, 22 May 2014. pdf slideshow (presentation) | The video presented in the talk is also available.

36. AT Patera, Real-Time In Situ Data Assimilation: Computational Mechanics and Experimental Observations, 36th Israel Symposium on Computational Mechanics, Israel Association of Computational Methods in Mechanics, The Technion --- Israel Institute of Technology, Haifa, Israel, 24 April 2014. pdf slideshow (presentation) | The video presented in the talk is also available.

35. AT Patera, A Parametrized-Background Data-Weak Formulation for Variational Data Assimilation: Dimension Reduction by Experimental Observation, Numerical Methods for High-Dimensional Problems, École des Ponts Paristech, Marne-la-Vallée, France, 17 April 2014. pdf slideshow (presentation) | The video presented in the talk is also available.

34. AT Patera, A Parametrized-Background Data-Weak Formulation for Variational Data Assimilation: Application to Acoustics, SMAI CANUM 2014, Carry-le-Rouet, France, 3 April 2014. pdf slideshow (presentation) | The video presented in the talk is also available.

33. AT Patera, A Parametrized-Background Data-Weak Formulation for Variational Data Assimilation: Application to Acoustics, Fakultät Mathematik und Physik Fachbereich Mathematik, Institut für Angewandte Analysis and Numerische Simulation, Universität Stuttgart, 6 March 2014. pdf slideshow (presentation) | The video presented in the talk is also available.

32. AT Patera, A Parametrized-Background Data-Weak Formulation for Variational Data Assimilation: Application to Acoustics, ANEDP Seminar, Department of Mathematics, Université Paris-Sud, 23 January 2014. pdf slideshow (presentation) | The slide presentation along with its four videos are also available for download as a zip file.

31. AT Patera, Fast Variational Data Assimilation for the Parametrized PDEs of Continuum Mechanics and Transport: Weak Form, Error Estimates, Greedy Spaces, Fondation Sciences Mathématiques Paris Horizons Maths, GDF Suez, 16–17 December 2013. pdf slideshow (presentation)

30. AT Patera, Many-Query, Real-Time, In-Situ State Estimation: Reduced Basis Approximation of a Model-Data Weak Formulation of the Variational Data Assimilation Problem, RBPODPGD Conference, Blois, France, 3–6 November 2013. pdf slideshow (presentation) | The video on data acquisition presented in the talk is also available.

29. M Yano, Model-Data Weak Formulation for State and Model-Bias Estimation: Foundations and Reduced Basis Approximation (Real-Time, In Situ In-Painting for Partial Differential Equations), Institut für Geometrie und Praktische Mathematik Seminar, RWTH Aachen University, Aachen, Germany, 24 October 2013. pdf slideshow (presentation) | The video on data acquisition presented in the talk is also available.

28. AT Patera, Model-Data Weak Formulation for State and Model-Bias Estimation or In-Painting for Partial Differential Equations, Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris, France, 4 October 2013. pdf slideshow (presentation)

27. AT Patera, A Model-Data Variational Formulation for State and Bias Estimation or In-Painting for Partial Differential Equations, AFOSR Computational Math Program Review Meeting, Arlington, VA, 29 July – 1 August 2013. pdf slideshow (presentation)

26. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations, GAMM 2013, Novi Sad, Serbia,18–22 March 2013. pdf slideshow (presentation)

25. AT Patera, Model Order Reduction for Parametric Manifolds, AFOSR Computational Math Program Review Meeting, Arlington, VA, 30 July – 2 August 2012. pdf slideshow (presentation)

24. AT Patera, The Manifold Beneath, MOX10: Immaginare il Futuro con uno Sguardo al Passato, Milano, 28 May 2012. pdf slideshow (presentation) | Accompanying Musical Examples (.zip file)

23. AT Patera, Parametric Manifold Models for Validation; Verification for Parametric Manifold Models, The National Academies' Symposium on Verification, Validation, and Uncertainty Quantification, Washington, DC, 28 March 2012.pdf slideshow (presentation)

22. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations: from Components to Systems, AFOSR MURI Annual Meeting, Brown University, Providence, RI, 31 October – 1 November 2011.pdf slideshow (presentation)

21. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations: from Components to Systems, Reduced Order Modeling BRC Review, Office of Naval Research, Arlington, VA, 14–15 September 2011.pdf slideshow (presentation)

20. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations: from Components to Systems — Application to Frequentistic Validation, AC.CES 2011, Aachen Conference on Computational Engineering Science, RWTH Aachen, Germany, 13–15 July 2011.pdf slideshow (presentation)

19. AT Patera (with DBP Huynh and DJ Knezevic), The Reduced Basis Method: Desiderata and Difficulties, Reduced Basis Workshop, University of Paris 6, Paris, France, 23–24 June 2011.pdf slideshow (presentation)

18. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations: from Components to Systems, ADMOS 2011 — International Conference on Adaptive Modeling and Simulation, Paris, France, 6–8 June 2011.pdf slideshow (presentation)

17. AT Patera, Certified Reduced Basis Methods: In-Situ Real-Time Solution of Parametrized Partial Differential Equations, INI/WIMCS Meeting on Computational Challenges in Partial Differential Equations, Swansea University, Swansea, Wales, UK, 4--8 April 2011.pdf slideshow (presentation)

16. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations; Application to Continuum Mechanics and Transport, Numerics for PDEs Lectures, Universität Ulm, Germany, 9–10 December 2010.pdf slideshow and error bound derivation (This talk also contains tutorial material on reduced basis basics.) For printing: pdf digest (slideshow in mono form) and a scanned version (six slides to a page in mono form)

15. AT Patera, Smartphone as Supercomputer Surrogate: In-Situ Scientific Simulation, Hans-Kupczyk-Gastprofessur Lecture, Universität Ulm, Germany, 7 December 2010.pdf slideshow (presentation)

14. AT Patera, Parameter Estimation and Uncertainty; A Reduced Basis Approach to Frequentistic Hypothesis Testing, AFOSR MURI Annual Meeting, Massachusetts Institute of Technology, Cambridge, MA, 29 October 2010. pdf slideshow (presentation)

13. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations; Application to Continuum Mechanics and Transport, EU Regional School, Aachen Institute for Advanced Study in Computational Engineering Science (AICES), RWTH Aachen University, Germany, 30 September 2010. pdf slideshow and error bound derivation (This talk also contains tutorial material on reduced basis basics.) pdf digest (slideshow in mono form for printing)

12. AT Patera, Real-Time Reliable Solution of Partial Differential Equations on Smartphones; Application to Parameter Estimation, Design, and Optimization “in the Field”, Modeling and Optimization: Theory and Applications Conference (MOPTA 2010), Lehigh University, Bethlehem, PA, 18--20 August 2010. pdf slideshow (presentation wth minor corrections)

11. AT Patera, Reduced Basis Basics and Inverse Problems; In-Situ Assessment of Parameter Uncertainty Acoustic Impedance “Measurement”, AFOSR Computational Mathematics Program Review, Arlington, VA, 27–30 July 2010. pdf slideshow (presentation)

10. DBP Huynh and DJ Knezevic, Supercomputing on a Smartphone via Model Order Reduction with Rigorous Error Bounds, Computation Research in Boston (CRiB) Seminar Series, MIT, 7 May 2010. pdf slideshow (presentation)

9. AT Patera, Certified Reduced Basis Methods for Parametrized Partial Differential Equations, Numerical Methods for PDEs Seminar Series, Department of Mathematics, MIT, 28 April 2010. pdf slideshow (presentation)

8. AT Patera, Certified Reduced Basis Methods; Application to Continuum Mechanics and Transport, Symposium on High Accuracy Flow Simulations in Honor of Professor Michel Deville, Ecole Polytechnique Fédérale de Lausanne, Switzerland, 15–16 February 2010. pdf slideshow (presentation)

7. AT Patera, Certified Reduced Basis Methods; Application to Continuum Mechanics and Transport, MechSE Seminar Series, University of Illinois at Urbana-Champaign, Urbana, IL, 1 December 2009; and CERMICS Seminar Series École Nationale des Ponts et Chaussées, 15 December 2009. pdf slideshow (presentations combined into one set of slides)

6. AT Patera, Model Order Reduction; Rigorous Error Control, OSD/AFOSR MURI Kick-Off Meeting, Brown University, Providence, RI, 30 October 2009. pdf slideshow (presentation)

5. AT Patera, Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations, Rocca Day, Politecnico di Milano, 28 September 2009; and MOX, Dipartimento di Matematica, Politecnico di Milano, 29 September 2009. pdf slideshow (presentations combined into one set of slides)

4. AT Patera, Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations, MoRePaS 09, Münster, Germany, 16–18 September 2009. pdf slideshow (presentation)

3. AT Patera, Reduced Basis Approximation and A Posteriori Error Estimation for the 2nd-Order Wave Equation, ICOSAHOM ’09, Trondheim, Norway, 23 June 2009. pdf slideshow (presentation)

2. AT Patera, Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations, AFOSR Joint Program Review, Long Beach, CA, 7 August 2007.pdf slideshow (presentation) pdf digest (presentation in digest form for printing)

1. AT Patera, Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations, College de France, 8 June 2007; Reliable Real-Time Solution of Parametrized PDEs, ENPC/CERMICS, Paris, 12 June 2007. pdf slideshow (presentations combined into one set of slides)

 

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