A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions

Journal of Computational and Applied Mathematics

Volumn 188, Issue 1, 2006, Pages 12-32

  Zschiedrich, Lin ^a   Klose, Roland ^a   Schädle, Achim ^a   Schmidt, Frank ^a  

^a ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

Perfectly matched layer; Pole condition; Transparent boundary conditions

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; NUMERICAL METHODS; WAVEGUIDE COMPONENTS;

PERFECTLY MATCHED LAYERS (PML); POLE CONDITIONS; TRANSPARENT BOUNDARY CONDITIONS;

FINITE ELEMENT METHOD;

EID: 28044440538     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.047     Document Type: Article

References (16)

1. E. Bécache, A.-S. Bonnet, and G. Legendre Perfectly matched layers for the convected Helmholtz equation SIAM J. Numer. Anal. 42 1 2004 409 433
2. J. Bérenger A perfectly matched layer for the absorption of electromagnetic waves J. Comput. Phys. 114 2 1994 185 200
3. W. Chew, J. Jin, E. Michielssen, Complex coordinate stretching as a generalized absorbing boundary condition, unpublished.
4. W. Chew, and W. Weedon A 3-D perfectly matched medium from modified Maxwell's equations with stretched coordinates Micro. Opt. Tech. Lett. 7 13 1994 599 604
5. W. Chew, W. Weedon, A 3-D perfectly matched medium by coordinate stretching and its absorption of static fields, in: Applied Computational Electromagnetics Symposium Digist, vol. 1, 1995, pp. 482-489.
6. F. Collino, and P. Monk The perfectly matched layer in curvilinear coordinates SIAM J. Sci. Comput. 19 6 1998 2061 2090
7. T. Hohage, F. Schmidt, and L. Zschiedrich Solving time-harmonic scattering problems based on the pole condition. I: Theory SIAM J. Math. Anal. 35 1 2003 183 210
8. T. Hohage, F. Schmidt, and L. Zschiedrich Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method SIAM J. Math. Anal. 35 3 2003 547 560
9. F. Ihlenburg Finite Element Analysis of Acoustic Scattering 1998 Springer Berlin
10. M. Kuzuoglu, and R. Mittra Investigation of nonplanar perfectly matched absorbers for finite element mesh truncation IEEE Trans. Antennas Propagation 45 2 1997 474 486
11. M. Lassas, J. Liukkonen, and E. Somersalo Complex Riemannian metric and absorbing boundary condition J. Math. Pures Appl. 80 7 2001 739 768
12. M. Lassas, and E. Somersalo On the existence and convergence of the solution of PML equations Computing 60 3 1998 229 241
13. M. Lassas, and E. Somersalo Analysis of the PML equations in general convex geometry Proc. R. Soc. Edinburgh Sect. A Math. 131 5 2001 1183 1207
14. F. Schmidt, A new approach to coupled interior-exterior Helmholtz-type problems: theory and algorithms, Habilitation Thesis, Konrad-Zuse-Zentrum Berlin, Fachbereich Mathematik und Informatik, FU Berlin, 2001.
15. H. Shaker, Ein neues Verfahren zur Lösung des Streuproblems der Maxwell-Gleichungen, Master's Thesis, Zuse Institute Berlin, Universität Hamburg, Fachbereich Physik. Diplomarbeit, 2003.
16. W. Walter Gewöhnliche Differentialgleichungen 1993 Springer Berlin