Ursula van Rienen

Jenny Brockmann, winner of the 2020 Willms Neuhaus Prize, divides her time between Berlin and New York. Her work is characterized by a far-reaching, interdisciplinary discourse with participatory interaction and extensive artistic freedom of design. Although her artistic questions are focused on spatio-temporal and current social experiences, her works always provide room for coincidence. Since its establishment in 2013, the Willms Neuhaus Foundation – Coincidence and Design has been dedicated to the research of coincidence and differentiated considerations of it. The foundation is dedicated to the promotion of art and science; it initiates and organizes interdisciplinary discourses, in particular to gain the interest of the arts, natural sciences, and humanities in this topic and to promote further projects and colloquia in an environment devoted to this theme. Languages: English and German

treated in more detail. They are just specimen of larger classes of schemes. Es­ sentially, we have to distinguish between semi-analytical methods, discretiza­ tion methods, and lumped circuit models. The semi-analytical methods and the discretization methods start directly from Maxwell's equations. Semi-analytical methods are concentrated on the analytical level: They use a computer only to evaluate expressions and to solve resulting linear algebraic problems. The best known semi-analytical methods are the mode matching method, which is described in subsection 2. 1, the method of integral equations, and the method of moments. In the method of integral equations, the given boundary value problem is transformed into an integral equation with the aid of a suitable Greens' function. In the method of moments, which includes the mode matching method as a special case, the solution function is represented by a linear combination of appropriately weighted basis func­ tions. The treatment of complex geometrical structures is very difficult for these methods or only possible after geometric simplifications: In the method of integral equations, the Greens function has to satisfy the boundary condi­ tions. In the mode matching method, it must be possible to decompose the domain into subdomains in which the problem can be solved analytically, thus allowing to find the basis functions. Nevertheless, there are some ap­ plications for which the semi-analytic methods are the best suited solution methods. For example, an application from accelerator physics used the mode matching technique (see subsection 5. 4).