An Intrusive PCE Extension of the Contour Integral Method and its Application in Electrical Engineering. Issue 1 (18th November 2019)

• Record Type: Journal Article
• Authors: Frick, Eduard; Dahl, David; Seifert, Christian; Lindner, Marko; Schuster, Christian
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-11-18
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900217
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: For the study of electromagnetic waves in a 2D environment, the Helmholtz equation can be reformulated in boundary integral form by the so‐called Contour Integral Method (CIM). The influence of uncertainty in the geometry is studied via Polynomial Chaos Expansion (PCE). A distinction is made between the so‐called intrusive and non‐intrusive PCE. Both methods are applied to the CIM and compared to each other and to Monte‐Carlo simulation (MC).