@inproceedings{BockGuerlebeck, author = {Bock, Sebastian and G{\"u}rlebeck, Klaus}, title = {A Coupled Ritz-Galerkin Approach Using Holomorphic and Anti-holomorphic Functions}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2928}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29281}, pages = {14}, abstract = {The contribution focuses on the development of a basic computational scheme that provides a suitable calculation environment for the coupling of analytical near-field solutions with numerical standard procedures in the far-field of the singularity. The proposed calculation scheme uses classical methods of complex function theory, which can be generalized to 3-dimensional problems by using the framework of hypercomplex analysis. The adapted approach is mainly based on the factorization of the Laplace operator EMBED Equation.3 by the Cauchy-Riemann operator EMBED Equation.3 , where exact solutions of the respective differential equation are constructed by using an orthonormal basis of holomorphic and anti-holomorphic functions.}, subject = {Architektur }, language = {en} }