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Postdoctoral position in Solving structural topology optimization problems by polynomial programming

Czech Technical University in Prague The Human Resources Strategy for Researchers
19 Jun 2023

Job Information

Organisation/Company
Czech Technical University in Prague
Research Field
Mathematics » Applied mathematics
Mathematics » Computational mathematics
Engineering » Civil engineering
Engineering » Mechanical engineering
Engineering » Aerospace engineering
Researcher Profile
Recognised Researcher (R2)
Established Researcher (R3)
Country
Czech Republic
Application Deadline
Type of Contract
Temporary
Job Status
Full-time
Hours Per Week
40
Offer Starting Date
Is the job funded through the EU Research Framework Programme?
Not funded by an EU programme
Reference Number
Topic #1-5
Is the Job related to staff position within a Research Infrastructure?
No

Offer Description

We are looking for a motivated postdoctoral candidate to join the Open Mechanics Group at Czech Technical University (CTU) to advance solution techniques in structural topology optimization. The position is embedded in the Open Mechanics group led by Jan Zeman, and the candidate will collaborate with Marek Tyburec (Czech Technical University in Prague).

 

Within this project, the candidate will develop techniques and tools for solving selected topology optimization problems to certified global optimality. The idea of the project rests on exploiting the fact that topology optimization problems can be formulated as a minimization of a polynomial function over a feasible set, generally nonconvex, described by an intersection of a finite number of polynomial inequalities. Recent results in mathematical optimization have shown that, in such cases, the moment-sum-of-squares (Lasserre) hierarchy of outer convexifications enables obtaining certified globally-optimal solutions.

The candidate will explore the application of these recent results in polynomial optimization to address specific topology optimization problems. The focus will be on evaluating the scalability of the proposed method, analyzing and exploiting the problem structure, and establishing convergence guarantees.

Moreover, in addition to the theoretical aspects of the project, we can provide access to conventional additive manufacturing and testing facilities. This would enable the candidate to not only develop innovative designs but also manufacture and validate them.

The candidate is expected to have a strong background and applied mathematics and experience in mathematical optimization. 

 

The list below includes some of the relevant references for the position:

 

[1] Tyburec M, Zeman J, Kružík M, Henrion D. Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy. Structural and Multidisciplinary Optimization 2021; 64: 1963–1981.

[2] Tyburec M, Kočvara M, Kružík M. Global weight optimization of frame structures with polynomial programming; 2023. arXiv:2211.14066

[3]  Lasserre JB. An Introduction to Polynomial and Semi-Algebraic Optimization. Cambridge University Press, 2015.

Requirements

Research Field
Mathematics » Applied mathematics
Education Level
PhD or equivalent
Research Field
Mathematics » Computational mathematics
Education Level
PhD or equivalent
Research Field
Engineering » Civil engineering
Education Level
PhD or equivalent
Research Field
Engineering » Mechanical engineering
Education Level
PhD or equivalent
Research Field
Engineering » Aerospace engineering
Education Level
PhD or equivalent
Skills/Qualifications
  • Ph.D. degree (obtained not more than 7 years ago or to be obtained soon) in mathematical optimization, structural optimization, computational mechanics, solid mechanics, structural mechanics, or a related field, 
  • Co-author of at least 3 papers published in journals with impact factor, 
  • Professional proficiency in the English language is required. 
Specific Requirements

Candidates should have a proven background in some or, ideally, all of the following areas:

  • Mathematical optimization,
  • Computational mechanics of materials and structures,
  • Topology optimization,
  • Code development skills, preferably in MATLAB, C++, or a related programming language.
Languages
ENGLISH
Level
Excellent
Internal Application form(s) needed
Application_form_#1-5.pdf
English
(116.65 KB - PDF)
Download

Additional Information

Benefits

We offer:

 

Eligibility criteria
  • Ph.D. degree (obtained no more than 7 years ago or to be obtained soon) in computational mechanics, solid mechanics, structural mechanics, mechanics of materials, or a related field, 
  • Co-author of at least 3 papers published in journals with impact factor, 
  • Professional proficiency in the English language is required.
Selection process

Interested candidates are invited to use the provided link to submit their applications:

https://forms.gle/g6DRsEyhXvJVnbJ78 

The application package should contain the following:

  • The completed application form available above,
  • Academic curriculum vitae, including a detailed list of publications,
  • A recommendation letter,
  • A motivation letter (up to two pages) stating personal goals and research interests,
  • Date when your Ph.D. was awarded or the expected date of your Ph.D. thesis defense,
  • A copy of or a link to your Ph.D. thesis,
  • A copy of the Ph.D. certificate.

 

For full consideration, complete applications must be received by 30 November 2023. We reserve the right to disregard incomplete applications.

Applications will be assessed by a committee based on documents sent by applicants. The mentor has a strong vote in the selection process.

Review of applications will begin immediately and will continue no later than 14 December 2023, when the evaluation committee will invite shortlisted candidates to the interview stage (in-person for applicants living in the Czech Republic; remote for all other candidates).

By submitting an application form, the candidate agrees to the processing of personal data for the purposes of the selection procedure following the General Data Protection Regulation (EU) 2016/679 and, in particular, to the distribution of the submitted materials in the electronic form to the members of the selection committee.

 

Additional comments

Czech Technical University in Prague now offers a new fellowship program, the CTU Global Postdoc Fellowship. This new and attractive two-year fellowship program offers excellent researchers who have recently completed their Ph.D. the chance to continue their research career at CTU. Fellows receive a two-year fellowship and become members of a team led by a mentor. The fellowship primarily aims at external international scientists who are currently conducting research abroad, but national candidates are also eligible. 

For more information

Website for additional job details

Work Location(s)

Number of offers available
1
Company/Institute
Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague
Country
Czech Republic
City
Prague
Postal Code
16629
Street
Thákurova 7

Where to apply

Website

Contact

State/Province
Czech Republic
City
Prague
Website
Street
Jugoslávských partyzánů 1580/3
Postal Code
16000
E-Mail
pavel.koudelak@cvut.cz