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Syllabus for

Academic year
TMV145 - Introduction to structural and multidisciplinary optimizat
Owner: TM
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: C

Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0104 Project 3,0 c Grading: TH   3,0 c    
0204 Examination 2,0 c Grading: TH   2,0 c   Contact examiner

In programs

TM Teknisk matematik, Year 2 (elective)


Professor  Michael Patriksson


For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

Linear algebra, multidimensional calculus. Experience in using MATLAB


Students should:
-Understand the fundamental principles of nonlinear programming and calculus of varitions
- Improve their modelling skills and develop the capacity of pose optimal design problems arising in engineering in mathematical programming terms
- Br able to select appropriate optimization algorithms, to use them, and to critically asses the results obtained
- Learn several standard methods of choosing design parametrizations, objective functionals, and restrictions
- Understand and be able to perform sensivity analyses, both analytically anf numerically
- Be able to ctitically asses the complexity of an optimization model and to make realistic decision of its practical solvability


1. Introduction to mathematical programming and calculus of variations
2. Structural optimization, multi-physics problems
3. Modeling aspects: design parametrization, alternative formulations, multi-objective optimization, strong/soft restrictions, uncertainties in data
4. Sensitivity analysis
5. Optimization algorithms


A mixture of lectures and computer exercises form a basis of the course, which is complemented with an independent work on the course project and some theoritical exercises.


- R.T. Haftka, Z. Gurdal. Elements of Structural Optimizatio. Kluwer Academic Publishers, 1992
-M.P. Bensoe, O. Sigmund. Topology Optimization: Theory, Methods, and Applications. Springer-Verlag, 2003
- B. Mohammadi, O Pironneau. Applied shape optimization for fluids. Oxfors University Press, 2001
- Hand-outs


Reports on compulsory theoretical and computer exercises. Written and oral report on the course project. Written examination on mathematical topics studied during the course. The written examination gives 2 credits, while the course projrct gives 3 credits.

Page manager Published: Thu 03 Nov 2022.