{"id":30215,"date":"2020-08-21T12:54:27","date_gmt":"2020-08-21T12:54:27","guid":{"rendered":"http:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/unkategorisiert\/boundary-element-tearing-and-interconnecting-methods-for-acoustic-and-electromagnetic-scattering-2\/"},"modified":"2020-08-21T14:55:27","modified_gmt":"2020-08-21T12:55:27","slug":"boundary-element-tearing-and-interconnecting-methods-for-acoustic-and-electromagnetic-scattering-ebook","status":"publish","type":"product","link":"https:\/\/tugraztestweb.asol.at\/en\/gesamtverzeichnis\/technische-mathematik-und-technische-physik\/boundary-element-tearing-and-interconnecting-methods-for-acoustic-and-electromagnetic-scattering-ebook\/","title":{"rendered":"Boundary Element Tearing and Interconnecting Methods for Acoustic and Electromagnetic Scattering"},"content":{"rendered":"

Sorry, this entry is only available in Deutsch<\/a>.<\/p>

Tearing and interconnecting methods are well known domain decomposition
\nmethods used for an approximate solution of various physical problems.
\nThe theory of this method is mainly based on partial differential
\nequations, which imply elliptic bilinear forms. Since the acoustic and
\nelectromagnetic wave equations do not fulfill this requirement, the
\ntheory has to be modified. In this work, we establish a rigorous theory
\nfor the BETI method applied to the scattering problems. A main part is
\ndedicated to the treatment of the local subproblems, since they are not
\nnecessary well posed if the standard approach is directly carried over
\nto scattering problems. Further a new combined field integral equation
\napproach is established for exterior scattering problems. This approach
\ndiffers from others, and it can easily be incorporated in the presented
\ndomain decomposition approach. Therefore bounded and unbounded domains
\ncan be treated in a unified way. In addition we discuss a
\npreconditioning approach for the BETI method in the acoustic case. This
\napproach is carried over from the FETI-H method. Finally, numerical
\nexamples are given which confirm the theoretical results.<\/p>","protected":false},"excerpt":{"rendered":"

Sorry, this entry is only available in Deutsch<\/a>.<\/p>\n

Tearing and interconnecting methods are well known domain decomposition
\nmethods used for an approximate solution of various physical problems.
\nThe theory of this method is mainly based on partial differential
\nequations, which imply elliptic bilinear forms. Since the acoustic and
\nelectromagnetic wave equations do not fulfill this requirement, the
\ntheory has to be modified. In this work, we establish a rigorous theory
\nfor the BETI method applied to the scattering problems. A main part is
\ndedicated to the treatment of the local subproblems, since they are not
\nnecessary well posed if the standard approach is directly carried over
\nto scattering problems. Further a new combined field integral equation
\napproach is established for exterior scattering problems. This approach
\ndiffers from others, and it can easily be incorporated in the presented
\ndomain decomposition approach. Therefore bounded and unbounded domains
\ncan be treated in a unified way. In addition we discuss a
\npreconditioning approach for the BETI method in the acoustic case. This
\napproach is carried over from the FETI-H method. Finally, numerical
\nexamples are given which confirm the theoretical results.<\/p>\n","protected":false},"featured_media":39830,"comment_status":"open","ping_status":"closed","template":"","meta":[],"yoast_head":"\n\n\n\n\n\n\n\n\n\n\t\n\t\n\n\n\t\n