Convergence of infinite element methods for scalar waveguide problems

Verfasser / Beitragende:
[Thorsten Hohage, Lothar Nannen]
Ort, Verlag, Jahr:
2015
Enthalten in:
BIT Numerical Mathematics, 55/1(2015-03-01), 215-254
Format:
Artikel (online)
ID: 60549679X
LEADER caa a22 4500
001 60549679X
003 CHVBK
005 20210128100538.0
007 cr unu---uuuuu
008 210128e20150301xx s 000 0 eng
024 7 0 |a 10.1007/s10543-014-0525-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10543-014-0525-x 
245 0 0 |a Convergence of infinite element methods for scalar waveguide problems  |h [Elektronische Daten]  |c [Thorsten Hohage, Lothar Nannen] 
520 3 |a We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides. The aim of this paper is to provide a new convergence analysis of both the perfectly matched layer method and the Hardy space infinite element method in a unified framework. We treat both diffraction and resonance problems. The theoretical error bounds are compared with errors in numerical experiments. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Transparent boundary conditions  |2 nationallicence 
690 7 |a Waveguide  |2 nationallicence 
690 7 |a Perfectly matched layer  |2 nationallicence 
690 7 |a Hardy space infinite elements  |2 nationallicence 
700 1 |a Hohage  |D Thorsten  |u Institut für Numerische und Angewandte Mathematik, Georg-August Universität Göttingen, 37083, Göttingen, Germany  |4 aut 
700 1 |a Nannen  |D Lothar  |u Institut für Analysis und Scientific Computing, Technische Universität Wien, 1040, Wien, Austria  |4 aut 
773 0 |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/1(2015-03-01), 215-254  |x 0006-3835  |q 55:1<215  |1 2015  |2 55  |o 10543 
856 4 0 |u https://doi.org/10.1007/s10543-014-0525-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10543-014-0525-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hohage  |D Thorsten  |u Institut für Numerische und Angewandte Mathematik, Georg-August Universität Göttingen, 37083, Göttingen, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Nannen  |D Lothar  |u Institut für Analysis und Scientific Computing, Technische Universität Wien, 1040, Wien, Austria  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/1(2015-03-01), 215-254  |x 0006-3835  |q 55:1<215  |1 2015  |2 55  |o 10543