Lecture (2 VO) by Stefan Takacs
Tutorial (1 UE) by Thomas Takacs
Exam: presentation or oral exam
Contents: Iogeometric Analysis (IgA) is a paradigm aiming to improve the connection between the world of computer aided design (CAD) and the world of finite element (FEM) simulation by using spline functions or other functions commonly used in CAD also for the FEM simulation. The use of high-order functions in IgA yields approximation errors that are smaller than those of standard FEM. Unlike in standard high-order FEM approaches, which show similar approximation errors, in IgA increasing the spline degree basically does not increase the number of unknowns. This does not come for free: the condition numbers of the resulting mass and stiffness matrices grow exponentially with the spline degree. We will discuss how to set up isogeometric discretizations, approximation error estimates, multi-patch isogeometric analysis, ways of locally refining splines and linear solvers.
Lecture notes: PDF
Slides from WS 2016/17: