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We are a team of engineers, physicists and mathematicians from the department Nonlinear Dynamics of Laser Processing NLD of RWTH Aachen University and the Modelling and Simulation department of the Fraunhofer Institute for Laser Technology ILT.
At the department Nonlinear Dynamics of Laser Processing we investigate the fundamentals of optical technologies and their applications in cooperation with the Fraunhofer Institute for Laser Technology ILT, the department Laser Technology LLT and the department Technology of Optical Systems TOS. We also cooperate with the Institut für Mathematik at Johannes Gutenberg University Mainz.
As result a vertically organised structure for research of fundamental and development of applications is established.
Modeling One of our primary educational goals is the teaching of scientific methodology. Modeling is guided by experimental diagnosis of laser processing and numerical calculation of selected model tasks.
Model Reduction A mathematically-based reduction of the model equations is performed based on the information from the diagnosis and numerical calculation. The solution properties of the reduced equations are completely contained within the solutions of the initial system of partial differential equations and do not exhibit any unnecessary complexity.
Simulation The reduced equations are reliably solvable with controlled error and permit a sound analysis of the solution structure in addition to consideration of special solutions of the non-reduced systems of partial differential equations.
NLD is a member of the Cluster of Excellence Internet of Production, particularly in the fields of CRD B Production Technology, CRD C Agile Product Development and works in the Cluster projects CRD B2.2 Data Based Model Order Reduction and Composition, CRD C2 Enabler for Agile Product Development and CRD A3 Functional Perspective: Algorithms for Linking Machine Learning with Model-Based Analysis and Control.