Download PDF Large-Scale PDE-Constrained Optimization (Lecture Notes in Computational Science and Engineering)

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Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations PDEs give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them.

These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research. Lorenz T.

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The task then is to determine solutions that are feasible for all considered realizations of the uncertain parameters, and among them one with best guaranteed solution value. We will introduce a number of electricity and gas network optimization problems for which robust protection is appropriate. Already for simplified cases, the design of algorithmically tractable robust counterparts and global solution algorithms is challenging. As an example, the stationary case in gas network operations is complex due to non-convex dependencies in the physical state variables pressures and flows.

In the robust version, two-stage robust problems with a non-convex second stage are to be solved, and new solution methodologies need to be developed. We will highlight robust optimization approaches and conclude by pointing out some challenges and generalizations in the field. The main focus of Frauke Liers' research is on the development, the analysis and the implementation of global solution approaches in mixed-integer nonlinear optimization.

In particular, she is active in robust optimization and puts emphasis on the development of algorithmically tractable robust counterparts for problems under uncertainty. Her work is motivated by optimization tasks with applications in logistics, in operations research, in engineering, and in the natural sciences. She received her doctorate degree in and the Habilitation degree from the University of Cologne in She is principal investigator in the Collaborative Research Center on mathematical modelling, simulation and optimization using the example of gas networks.

Primal-dual interior-point methods for semidefinite programming, as implemented in widely used solvers, rely on the elegant theory of self-scaled barriers and the property that the dense symmetric positive semidefinite matrices form a symmetric convex cone. In applications it is very common that the constraints in a semidefinite program are sparse.

It is natural to pose such problems as conic optimization problems over cones of sparse positive semidefinite matrices, in order to exploit theory and algorithms from sparse linear algebra. Examples of this approach are the splitting techniques based on decomposition theorems for chordal sparsity patterns, which have been applied successfully in first-order methods and interior-point algorithms. However sparse semidefinite matrix cones are not symmetric, and conic optimization algorithms for these cones lack the extensive theory behind the primal-dual methods for dense semidefinite optimization.

The talk will explore new formulations of primal-dual interior-point methods for sparse semidefinite programming. It will mostly focus on the important special case of chordal sparsity patterns that define homogeneous convex cones. He obtained the Electrical Engineering degree and a Ph. It was founded in and became one of the most prestigious education institutions in Europe. The university is known for its highly ranked engineering programmes, especially in mechanical engineering and engineering management.

Leibniz in The WIAS conducts project oriented research in applied mathematics with the aim of solving complex problems in technology, science and economy. You are invited to attend our welcome reception on Sun, Aug 4, , — at the main building of TU Berlin. The reception will include drinks and light snacks and serves as a good occasion to meet other participants in a casual social atmosphere.

Furthermore, it provides an early opportunity to register for the ICCOPT and to collect your name badges and conference materials. We will then cruise through the city of Berlin while having dinner from buffet with modern German food. The menue contains also vegetarian options. If you need a special diet, please inform us in advance via email to.

A poster session will be held on Monday, August 5 from to at the Lichthof of the conference venue. Baverages and snacks will be provided. Please note that Every poster presenter needs to be registered for the conference.

Posters need to be printed, and delivered to the venue. Please format your poster as a portrait A0. This will be possible during the following times: Saturday: to Sunday: to Monday: to For summer school participants, there is another poster session during the Summer School BBQ event. Please drop your poster by Saturday to participate. Apr 15, Deadline for submission of posters Apr 26, Approval of posters May 15, Early bird registration deadline.

The submitted papers should be in the area of continuous optimization and satisfy one of the following three criteria: Passed the first round of a normal refereeing process in a journal; Published during the year of or after including forthcoming ; Certified by a thesis adviser or postdoctoral mentor as a well-polished paper that is ready for submission to a journal.

Papers can be single-authored or multi-authored, subject to the following criterion: Each paper must have at least one qualifying author who was under age 30 on January 1, , or has not earned a Ph. D before that date.

In case of joint authorship involving senior researchers i. A selection committee will decide on questions on eligibility in exceptional cases. The selection criteria will be based solely on the quality of the paper, including originality of results and potential impact.

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Up to four papers will be selected as finalists of the competition. The finalists will be featured in a dedicated session at ICCOPT , and the prize winner will be determined after the finalist session. All the three finalists will receive a diploma, and the winner will be presented an award of EUR. You can submit your invited or contributed session via the conference web system Converia. During the process, title and abstract of the session, as well as names and email addresses of the suggested speakers and the preliminary titles of their talks need to be given.

Your speakers will be informed about the submission, and can adjust their personal data, and from Mar 22, to Apr 7, , also their titles and abstracts.

Please connect the session to one of the topic clusters of the conference. Organized sessions will be scheduled in groups of 3 talks. The minimum number of talks in a session is thus 3. You may also compose your session of a multiple of three talks. Submit invited or contributed talks via the conference web system Converia.

During the process, title and abstract of the talk, as well as names and email addresses of possible co-authors need to be entered. If applicable, co-authors will be informed about the submission. Please also connect the talk to one of the topic clusters of the conference.

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Please note that every speaker needs to register for the conference, every participant is allowed to give at most one talk at the ICCOPT Apr 7, Deadline for submission of talks Apr 10, Approval of talks May 15, Early bird registration deadline. Registration fees Deadlines Registration Desk Grants. Map of the venue Visa regulations and invitation letters Links and information Accommodation. Welcome reception Conference dinner City tours.

Important dates Live page Updated info, links to app download etc. Second day ended successfully Aug 6 After a busy day with plenty of talks, the participants enjoyed the conference dinner on a boat, cruising through the historic center of Berlin. Supported by. Committees Program Committee M. Frankowska France J. Gondzio UK T. Luo China J. Pang US D. Ralph UK C.

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Sun Hong Kong M. Teboulle Israel S. Ulbrich Germany S. Wright US. Organizing Committee M. Eichfelder TU Ilmenau C. Hinze Uni Hamburg D. Mehrmann TU Berlin C. Schulz Uni Trier F. Ulbrich TU Darmstadt. Local Organizers M. Henrion D. Mehrmann C. Rautenberg F.

Overview Schedule overview Conference Book pdf Parallel sessions overview pdf Detailed schedule Conference Apps The scientific program of ICCOPT consists of plenary talks, semi-plenary talks, invited minisymposia, contributed minisymposia, contributed talks, a poster session.