As part of the research colloquium for students, doctoral and habiliation candidates, , we cordially invite you to attend on

Tuesday, 11.02.2025, at 16:30 in room 3516 (Mönchebergstr. 7).

Dr.-Ing. Jonas Boungard will give a lecture with the title

"Potentials for increasing the computing speed of master-slave elimination"

in which he will present the current state of his research at the Institute of Structural Analysis.

We look forward to seeing you there!

Abstract

Multi-point constraints are indispensable in modeling various engineering problems, e.g. in the context of joints subjected to large rotations or in the coupling of different element types in finite element analysis. Master-slave elimination is an efficient method for the numerical treatment of constraints as it reduces the dimension of the resulting system of linear equations, which is particularly advantageous when a large number of constraints have to be considered. However, the method requires an inversion of the submatrix of the Jacobian matrix of the constraints. For nonlinear constraints, this inversion must be performed for each individual iteration step of the Newton-Raphson method [1]. Nevertheless, the method has a lower computational complexity compared to Lagrange multipliers and the penalty method. This is also true if the analysis of redundant constraints and the identification of slave degrees of freedom are included.

The prsentation will present and discuss different potentials to drastically increase the computational speed of this already efficient method. In particular, the prsentation aims at exploiting the specific structure of the Jacobian matrix of constraints as it occurs in typical technical applications.