317.540 Isogeometric Analysis
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, VU, 4.0h, 5.0EC


  • Semester hours: 4.0
  • Credits: 5.0
  • Type: VU Lecture and Exercise

Learning outcomes

After successful completion of the course, students are able to explain and utilize the basic approaches regarding modeling in CAD systems and in the classic finite element simulation. They will be able to combine these two approaches to isogeometric analysis and can handle its application to various classes of problems (structural mechanics, heat transfer and CFD) under consideration of the pros and cons. A focus area of the course will be the particularities of isogeometric analysis as compared to standard finite elements, in particular in terms of quadrature and assembly.

The students will have written their own isogeometric analysis program in Matlab and will have detailed knowledge of the components relevant to such a program. 

Subject of course

  • Geometry representation (Bézier splines, B-splines, NURBS, T-splines)
  • Geometry manipulation and derivatives
  • Isogeometric analysis in comparison to standard finite elements
  • Assembly 
  • Quadrature
  • Refinement
  • Imposition of boundary conditions
  • Trimmed NURBS in isogeometric analysis
  • Applications of IGA

Teaching methods

The lecture makes use of different multi-media elements, combining slides with hand-written parts. Furthermore, the lecture contains interactive concepts such as quizzes or online programs. Finally, the exercise in Matlab teaches the students hands-on, what isogeometric analysis demands of the user. 

Mode of examination




Course dates

08:30 - 12:0003.03.2020 - 05.03.2020Seminarraum BD 02C Lecture Isogeometric Analysis
Wed10:00 - 13:0011.03.2020Seminarraum Lehar 02 VO Isogeometrische Analyse
Thu08:30 - 12:0012.03.2020Seminarraum BA 08B VO Isogeometrische Analyse
Isogeometric Analysis - Single appointments
Tue03.03.202008:30 - 12:00Seminarraum BD 02C Lecture Isogeometric Analysis
Wed04.03.202008:30 - 12:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu05.03.202008:30 - 12:00Seminarraum BD 02C Lecture Isogeometric Analysis
Wed11.03.202010:00 - 13:00Seminarraum Lehar 02 VO Isogeometrische Analyse
Thu12.03.202008:30 - 12:00Seminarraum BA 08B VO Isogeometrische Analyse

Examination modalities

oral examination

Course registration

Begin End Deregistration end
31.01.2020 09:00 31.03.2020 23:59 31.03.2020 23:59



No lecture notes are available.

Previous knowledge

Basic knowledge of the finite element method