Two scale Hardy space infinite elements for scalar waveguide problems

We consider the numerical solution of the Helmholtz equation in domains with one infinite cylindrical waveguide. Such problems exhibit wavenumbers on different scales in the vicinity of cut-off frequencies. This leads to performance issues for non-modal methods like the perfectly matched layer or th...

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Bibliographic details
Volume:	44
Main Author:	Halla, Martin Nannen, Lothar
Format:	Journal Article
Language:	English
Zielgruppe:	Academic
Place of publication:	New York Springer US 01.06.2018 SPRINGER Springer Springer Nature B.V
published in:	Advances in computational mathematics Vol. 44; no. 3; pp. 611 - 643
Data of publication:	20180600
ISSN:	1019-7168 1572-9044
EISSN:	1572-9044
Discipline:	Applied Sciences Mathematics
Subjects:	Cut-off frequency Visualization Computational Mathematics and Numerical Analysis 65N12 Mathematical and Computational Biology Mathematics Wood’s anomaly 78M10 Computational Science and Engineering Waveguide Pole condition Hardy space infinite element method Mathematical Modeling and Industrial Mathematics 65H17 65N30 Physical Sciences Mathematics, Applied Science & Technology Waveguides Analysis Helmholtz equations Galerkin method Nonlinear programming Perfectly matched layers Cut-off frequency PERFECTLY MATCHED LAYERS EIGENVALUE PROBLEMS RESONANCE PROBLEMS APPROXIMATION Waveguide Pole condition Hardy space infinite element method CONVERGENCE FREDHOLM OPERATOR-FUNCTIONS Wood's anomaly DOMAINS SCATTERING
Online Access:	Fulltext
Database:	Springer Journals Complete - Open Access Web of Knowledge Science Citation Index Expanded Web of Science - Science Citation Index Expanded - 2018 Web of Science CrossRef Academic OneFile (A&I only) Database information Databases - DBIS