Job Description

The »Grid-free Methods« department at the Fraunhofer Institute for Industrial Mathematics ITWM focuses on the modeling and efficient simulation of complex industrial problems for the design and optimization of technical processes and products.

The efficient solution of large linear systems of equations is a key challenge in numerous scientific and industrial applications – from numerical simulations to data-driven models. The aim of this master’s thesis is to systematically analyse Krylov subspace recycling methods for dense linear matrices and to optimize them with respect to their performance. The insights gained will then be implemented in a prototype and integrated into the simulation software MESHFREE.

Be part of change

• Literature review of existing Krylov subspace recycling techniques for changing linear systems
• Implementation of the most promising approaches to solve the linear systems arising from MESHFREE point clouds, for example for the hydrostatic pressure equation outside of MESHFREE
• Analysis and investigation of the results using performance benchmarking
• Extension and integration of the best methods into MESHFREE
• Presentation of the results in research seminar

What you contribute

• Current studies in mathematics or computer science
• Experience in the field of: numerical discretization and/or iterative solvers
• Ability to work in a team, creativity, motivation
• Very good knowledge of German or English

What we offer

• Exciting tasks in a dedicated, international team of scientists who are fully committed to applied research
• Exciting questions from the field of industrial application
• A varied, exciting job at the interface between research and application
• Room for your own ideas and independent action
• Opportunity to pursue a doctorate

We value and promote the diversity of our employees' skills and therefore welcome all applications – regardless of age, gender, nationality, ethnic and social origin, religion, ideology, disability, sexual orientation and identity. Severely disabled persons are given preference in the event of equal suitability. Our tasks are diverse and adaptable – for applicants with disabilities, we work together to find solutions that best promote their abilities.

With its focus on developing key technologies that are vital for the future and enabling the commercial utilization of this work by business and industry, Fraunhofer plays a central role in the innovation process. As a pioneer and catalyst for groundbreaking developments and scientific excellence, Fraunhofer helps shape society now and in the future.

Ready for a change? Then apply now and make a difference! Once we have received your online application, you will receive an automatic confirmation of receipt. We will then get back to you as soon as possible and let you know what happens next.

If you have any questions regarding content, please contact: chaitanya.sanghavi@itwm.fraunhofer.de

If you have any questions regarding the application or the application process, please contact: isabelle.dieckhoff@itwm.fraunhofer.de

Fraunhofer Institute for Industrial Mathematics ITWM

www.itwm.fraunhofer.de

Requisition Number: 83401