Die ökologischen Folgen der Freisetzung von Radionukliden durch den Reaktorunfall in Tschernobyl 1986 sind noch bis heute spürbar. Unter den vielen emittierten Radionukliden stellt das Americiumisotop Am-241 zum jetzigen ...

The goal is to provide an overview about function spaces, and more generally speaking functional frameworks that include metric spacs, normed spaces, inner product spaces, and convex sets for variational inequalities. ...

This course is devoted to phase-field fracture methods. Four different sessions are centered around modeling, discretizations, solvers, adaptivity, optimization, simulations and current developments. The key focus is on ...

These lecture notes are devoted to numerical concepts and solution of algorithmic systems and neural networks. The course is divided into four parts: traditional AI (artificial intelligence), deep learning in neural networks, ...

In this contribution, we revisit adjoint formulations for stationary and nonstationary space-time fluid-structure interaction. The adjoints serve for two purposes: goal-oriented a posteriori error estimation with the ...

Gauge theories are ubiquitous in physics. Many intriguing phenomena in condensed matter physics owe to the action of the electromagnetic field, which is an Abelian gauge theory. The numerical treatment of many-body systems ...

These lecture notes accompany a refresher course in applied mathematics with a focus on numerical concepts (Part I), numerical linear algebra (Part II), numerical analysis, Fourier series and Fourier transforms (Part ...

In this article, we transform thoughts from classical strategy and insights from modern complexity science into a novel concept of intervention. In doing so, we pursue two goals: First, to improve the prediction of outcomes, ...