Reduced Order Approaches for Micromagnetics

Computational micromagnetics is a discipline which describes and calculates magnetic phenomenons on nano- to micrometer scales using both classical and quantum physics. It emerged from applications like magnetic recording and magnetic material design and is nowadays a booster for the design of rare earth reduced high-performance magnets for green energy applications for electric/hybrid vehicles and electric wind and hydro-power generation. Among many others, further applications are random access memory, magnetic sensors and nanomagnetic materials and devices. However, the computer simulations which are used for the design of these applications encounter computational limits since the interplay of phenomenons of rather large length scales (classical electromagnetism) and very small (quantum physics) need both to be taken into account. This exceeds the available computational resources very easily. The project Reduced Order Approaches for Micromagnetics aims at providing applied physicists, theorists and engineers with novel and feasible mathematical tools for their materials and design simulations. The approaches concentrate on ways to reduce the complexity by underlying simplified (numerical) models, such as tensor product approaches, which reduce the dimensionality but still catch the essence. A main objective is the development of computer simulation methods which track the time-dependent change of magnetic states in materials of several microns in size, a task which is definitely not possible for conventional methods nowadays. The project is an example for enhancement of a discipline of computational science by innovative theoretical models and practical numerical methods and is directly linked and useful for applications in engineering.

No additional funding sources recorded.