|
|
Gene Golub SIAM Summer School 2014
Simulation, Optimization, and Identification in Solid Mechanics
|
|
4 August - 15 August 2014, Linz, Austria
|
|
Daily Schedule and Program Details
Sunday, 3 August 2014 (Arrival)
|
|
Get together
|
Monday, 4 August 2014
|
Morning |
The program on Monday morning will start with an introductory lecture.
The main aim of this lecture is to ensure that all participants have
some working knowledge in modeling of (linear elastic) materials.
This will also provide a common notational framework to avoid confusion
due to different notational habits of all participants.
The lecture will conclude with an outlook to familiarize all participants
with the intended program.
|
Afternoon |
On Monday afternoon we will have a session to introduce the participants
to the lab-facilities and ensure that everyone can use the computing
facilities or connect their own laptops.
|
Tuesday, 5 August 2014
|
Morning | |
09:00‐10:30 |
Lecture MO/TO1 (Sizing Optimization by means of an example; M. Stingl)
A simple beam design problem with varying thickness
Existence of solutions
A convergent approximation scheme
Numerical solution
|
11:00‐12:30 |
Lecture IIP1 (Introduction to Tomography and Inverse Problems; E. Klann)
|
Afternoon |
C-Lab MO/TO1 (Thickness optimization of a beam)
Lab IIP1 (Getting started)
|
Wednesday, 6 August 2014
|
Morning | |
09:00‐10:30 |
Lecture MO/TO2 (From 1D-Sizing to 2D-Topology Optimization; M. Stingl)
An abstract existence and approximation framework
Introduction to (parametric) topology and material optimization
Application of abstract theory to a class of 2D topology optimization problems
|
11:00‐12:30 |
Lecture IIP-2 (Regularization methods; E. Klann)
Standard assumptions and results for generalized Tikhonov regularization
|
Afternoon |
Lab MO/TO2 (Material optimization)
C-Lab IIP2 (Influence of parameters)
|
Thursday, 7 August 2014
|
Morning | |
09:00‐10:30 |
Lecture MO/TO3 (SIMP-type models and their solution by the OCM method; M. Stingl)
Design problems from an engineering point of view
Sensitivity analysis
The optimality criteria method
|
11:00‐12:30 |
Lecture IIP3 (Geometrical inverse problems; E. Klann)
Spaces of shapes
Shape sensitivity analysis
Level-sets
|
Afternoon |
C-Lab MO/TO3 (Numerical solution)
Lab IIP3 (Shape derivatives)
|
Friday, 8 August 2014
|
Morning | |
09:00‐10:30 |
Lecture MO/TO4 (From Topology to (free) Material Optimization; M. Stingl)
A tailor made topology for a class of material optimization problems
Existence and convergence results
Outlook: on optimization of herogeneous and orthotropic materials
|
11:00‐12:30 |
Lecture IIP4 (Shape and parameter identification; E. Klann)
Simultaneous reconstruction and segmentation from tomography data
|
Afternoon |
Lab MO/TO4 (Advanced MO models)
C-Lab IIP4 (Shape identification)
|
Saturday, 9 August 2014
|
|
Excursion to VoestAlpine Stahlwelt |
Sunday, 10 August 2014
|
|
Excursion to Stift Melk and boat trip on Danube |
Monday, 11 August 2014
|
Morning | |
9:00-10:30 11:00-12:30 |
Guest-Lecture: Jakob Jensen |
Afternoon | |
|
Postersession |
Tuesday, 12 August 2014
|
Morning | |
09:00‐10:30 |
Lecture AFEM1 (AFEM for PDE simulation; W. Wollner)
Introduction to AFEM
Model Algorithm
Residual Error Estimates (Energy-Norm)
|
11:00‐12:30 |
Lecture MPCC1 (Introduction to MPCCs; R. Herzog)
Introduction to MPCCs and MPECs
Review of Optimality Conditions in Nonlinear Optimization
|
Afternoon |
Lab MPCC1 (Introduction to MPCCs)
C-Lab AFEM1 (Estimators for different problems)
|
Wednesday, 13 August 2014
|
Morning | |
09:00‐10:30 |
Lecture AFEM2 (AFEM for the PDE simulation II; W. Wollner)
Marking Strategies
Convergence of AFEM
Complexity of AFEM
|
11:00‐12:30 |
Lecture MPCC2 (Optimality conditions; R. Herzog)
Optimality Conditions for MPCCs
Numerical Approaches for MPCCs
|
Afternoon |
C-Lab MPCC2 (Optimality conditions)
Lab AFEM2 (Refinement strategies)
|
Thursday, 14 August 2014
|
Morning | |
09:00‐10:30 |
Lecture AFEM3 (AFEM for the PDE simulation III; W. Wollner)
Other Error Estimators
‐Implicit, Recovery, Hierarchical Estimators
L2 Error Estimates
Errors in Quantities of Interest
|
11:00‐12:30 |
Lecture MPCC3 (MPCCs in mechanics; R. Herzog)
The Chain Problem and Associated MPCCs
The Obstacle Problem and Associated MPCCs
An Elastoplastic Truss Problem and Associated MPCCs
|
Afternoon |
Lab MPCC3 (MPCCs in mechanics)
C-Lab AFEM3 (Error estimators)
|
Friday, 15 August 2014
|
Morning | |
09:00‐10:30 |
Lecture AFEM4 (Extensions to optimization problems; W. Wollner)
AFEM for Optimization Problems with PDEs
‐Residual and DWR type estimates
Extensions to
‐State Constraints
‐Control in the Coefficients
|
11:00‐12:30 |
Lecture MPCC4 (Elastoplasticity; R. Herzog)
Standard Model in Elastoplasticity
Optimization Problems in Elastoplasticity
Numerical Approaches
|
Afternoon |
C-Lab MPCC4 (Elastoplasticity)
Lab AFEM4 (Optimization)
|
Evening |
We will close the summer school with a far-well party on Friday evening.
|
Saturday, 16 August 2014 (Departure)
|
|
|