TY - CONF
A1 - Kraußhar, Rolf Sören
A1 - Constales, Denis
A1 - Gürlebeck, Klaus
A1 - Sprößig, Wolfgang
A2 - Gürlebeck, Klaus
A2 - Könke, Carsten
T1 - APPLICATIONS OF QUATERNIONIC ANALYSIS IN ENGINEERING
N2 - The quaternionic operator calculus can be applied very elegantly to solve many important boundary value problems arising in fluid dynamics and electrodynamics in an analytic way. In order to set up fully explicit solutions. In order to apply the quaternionic operator calculus to solve these types of boundary value problems fully explicitly, one has to evaluate two types of integral operators: the Teodorescu operator and the quaternionic Bergman projector. While the integral kernel of the Teodorescu transform is universal for all domains, the kernel function of the Bergman projector, called the Bergman kernel, depends on the geometry of the domain. Recently the theory of quaternionic holomorphic multiperiodic functions and automorphic forms provided new impulses to set up explicit representation formulas for large classes of hyperbolic polyhedron type domains. These include block shaped domains, wedge shaped domains (with or without additional rectangular restrictions) and circular symmetric finite and infinite cylinders as particular subcases. In this talk we want to give an overview over the recent developments in this direction.
KW - Architektur
KW - CAD
KW - Computerunterstütztes Verfahren
Y1 - 2006
UR - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2912
UR - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170327-29128
UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html
ER -