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The program of the workshop will consist primarily of two tutorials and several plenary talks presented by the invited speakers. The members of ERC-CZ MORE research team will also provide information concerning the results achieved so far within the framework of the project. The submitted contributions will be presented in a poster session with a blitz introductory session. Special attention will be paid to organization of formal and informal discussions concerning the formulation of open problems and stimulating research questions.


Plenary lectures

The detailed program can be downloaded [ here ].

Sunday, September 6

18.00-22.00 Registration
19.00-20.45 Dinner
21.00-21.05 Opening: M. Rozloľník, M. Bulíček
21.05-21.20 V. Ciml: SlidesLive


Monday, September 7

  9.00-10.40 Chair: Z. Strakoą

V. Mehrmann: Model reduction: analysis, numerical solution and real world applications

Lecture I: Model reduction, a survey

M. Hinze: Mathematical aspects of proper orthogonal decomposition (POD)

Lecture I: POD for time-dependent PDEs (emphasis on numerical analysis)
10.40-11.10 Coffee – Tea
11.10-12.00 Chair: I. Pultarová

V. Mehrmann: Model reduction: analysis, numerical solution and real world applications

Lecture II: Preservation of physical properties in model reduction methods
12.00-15.30 Lunch break
15.30-16.00 Coffee – Tea
16.00-17.40 Chair: W. Jäger

M. Hinze: Mathematical aspects of proper orthogonal decomposition (POD)

Lecture II: POD in PDE constrained optimization (with error analysis)

V. Mehrmann: Model reduction: analysis, numerical solution and real world applications

Lecture III: Model reduction in real world and industrial applications
     18.30-21.00 Dinner

Tuesday, September 8

9.00-10.40 Chair: M. Vohralík

M. Hinze: Mathematical aspects of proper orthogonal decomposition (POD)

Lecture III: MOR in applications - towards parametric MOR for nonlinear PDE systems in networks
9.50-10.40 J. M. Nordbotten: Understanding discretization error, solver error, and model error for deformable porous media
10.40-11.10 Coffee – Tea
11.10-12.00 Chair: E. Rohan
11.10-12.00 S. Gugercin: Structure-preserving interpolatory model reduction for linear and nonlinear dynamical systems
12.00-15.30 Lunch break
15.30-16.00 Coffee – Tea
16.00-17.50 Chair:  E. Süli
                                          Presentation of the project MORE  Part 1
16.00-16.50 J. Málek: Implicitly constituted materials: from modelling towards PDE-analysis
16.50-17.20 K. R. Rajagopal: The mechanics and mathematics of bodies described by implicit constitutive equations
17.20-17.30 A. Janečka: Euler-Bernoulli type beam theory for elastic material with nonlinear response in the small strain range
17.30-17.40 G. Tierra: Simulations of flows of fluids characterized by a non-monotone implicit constitutive relation
18.30-20.00 Dinner

RSJ Poster blitz introductory session

P. K. Goyal: Interpolatory model reduction  for bilinear descriptor systems

C. Himpe: Optimization-based combined reduction for nonlinear systems

M. Isoz: Gravity-driven rivulet flow on a slowly varying substrate

V. Janovský: Numerical analysis of a lumped parameter friction model

M. Lanzendörfer: Some open problems in piezoviscous lubrication

Y. Lu: Model order reduction via a balanced truncation-interpolation approach for gas networks

B. Müller: Model reduction for geometrically nonlinear elasticity

P. Minakowski: A novel Eulerian approach to crystal plasticity

M. Moldenhauer: Optimal hip implant positioning

V. Orava: Multi-phase modeling of non-isothermal reactive flow in fluidized bed reactors

J. Papeľ: Algebraic error in Cascadic Conjugate Gradient Method

I. Pultarová: Spectral properties of stochastic Galerkin matrices

E. Rohan: Modelling tissue perfusion - hierarchical models and identification

H. ©vihlová: Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics

J. ®abenský: Completion of the existence theory for unsteady flows with a pressure- and shear-dependent viscosity
20.30-21.30 RSJ Poster session – wine & cheese

Wednesday, September 9

9.00-10.40 Chair: D. Henrion
9.00-9.50 R. W. Freund: Krylov subspace-based model order reduction  of RCL circuit equations
9.50-10.40 L. Chamoin: Verification and effectivity of PGD model reduction
10.40-11.10 Coffee – Tea
11.10-12.00 Chair: M. Bulíček
11.10-12.00 U. Maas: Hierarchical concepts for model reduction for reacting flows based on low-dimensional manifolds
12.00-15.30 Lunch break
15.30-16.00 Coffee – Tea
16.00-17.40 Chair: E. Feireisl
16.00-16.50 J. -F. Gerbeau: Approximated Lax pair for nonlinear evolution equations
16.50-17.40 K. R. Rajagopal: Modeling the flow of traffic
19.00-22.00 Dinner at restaurant Spilka

Thursday, September 10

9.00-10.30 Chair: V. Průąa
9.00-9.50 R. Codina: Reduced-order subscales for POD models in fluid mechanics
                                           Presentation of the project MORE Part 2
9.50-10.10 J. Hron: Mixed formulations, numerical solutions and computations for viscous-plastic flows using implicit material relations
10.10-10.30 M. Vohralík: A posteriori error estimates and adaptivity for Stokes flow with implicit constitutive laws
10.30-11.00 Coffee – Tea
11.00-12.10 Chairs: M. Hinze, W. Jäger, Z. Strakoą
11.00-12.00 Panel discussion
12.00-12.10 Final words
12.15-13.15 Lunch 
13.30 Bus departure