A non-overlapping quasi-optimal optimized Schwarz domain decomposition algorithm for the Helmholtz equation

Boubendir, Yassine; Antoine, Xavier; Geuzaine, Christophe

No full text

Contribution to collective works (Parts of books)

A non-overlapping quasi-optimal optimized Schwarz domain decomposition algorithm for the Helmholtz equation

Boubendir, Yassine; Antoine, Xavier; Geuzaine, Christophe

2013 • In Proceedings of Domain Decomposition Methods in Science and Engineering XX

Peer reviewed

Permalink
https://hdl.handle.net/2268/171452

Files (0)Send to Details Statistics Bibliography Similar publications

Files

Full Text

No document available.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Disciplines :

Mathematics

Author, co-author :

Boubendir, Yassine

Antoine, Xavier

Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)

Language :

English

Title :

A non-overlapping quasi-optimal optimized Schwarz domain decomposition algorithm for the Helmholtz equation

Publication date :

2013

Main work title :

Proceedings of Domain Decomposition Methods in Science and Engineering XX

Publisher :

Springer Berlin Heidelberg

Pages :

519-526

Peer reviewed :

Peer reviewed

Available on ORBi :

since 20 August 2014

Statistics

Number of views

51 (5 by ULiège)

Number of downloads

0 (0 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

Bibliography

A. Bayliss, M. Gunzburger and E. Turkel. Boundary Conditions for the Numerical Solutions of Elliptic Equations in Exterior Regions. SIAM Journal of Applied Mathematics, 42:430-451, 1982.
B. Engquist and A. Majda. Absorbing Boundary Conditions for the Numerical Simulation of Waves. Mathematics of Computation, 23:629-651, 1977.
Bruno Després. Domain decomposition method and the Helmholtz problem. II. In Second International Conference on Mathematical and Numerical Aspects of Wave Propagation (Newark, DE, 1993), pages 197-206, Philadelphia, PA, 1993. SIAM.
C. Farhat, A. Macedo, M. Lesoinne, F.X. Roux, F. Magoulès and A. De La Bourdonnaye. Two-Level Domain Decomposition Methods with Lagrange Multipliers for the Fast Iterative Solution of Acoustic Scattering Problems. Computer Methods in Applied Mechanics and Engineering, 184:213-239, 2000.
M. Gander, F. Magoulès, F. Nataf. Optimized Schwarz Methods without Overlap for the Helmholtz Equation. SIAM J. Sci. Comput., 24(1):38-60, 2002.
P.-L. Lions. On the Schwarz Alternating Method III: A Variant for Non Overlapping Subdomains. In Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, pages 20-22, Philadelphia, PA, 1990. SIAM.
R. Kerchroud, X. Antoine and A. Soulaimani. Numerical Accuracy of a Padé-Type Non-Reflecting Boundary Condition for the Finite Element Solution of Acoustic Scattering Problems at High-Frequency. International Journal for Numerical Methods in Engineering, 64:1275-1302, 2005.
X. Antoine, M. Darbas, and Y.Y. Lu. An Improved Surface Radiation Condition for High-Frequency Acoustics Scattering Problems. Computer Methods in Applied Mechanics and Engineering, 195:4060-4074, 2006.
Y. Boubendir. An Analysis of the BEM-FEM Non-Overlapping Domain Decomposition Method for a Scattering Problem. Journal of Computational and Applied Mathematics, 204(2):282-291, 2007.
Y. Boubendir, A. Bendali and M. B. Fares. Coupling of a Non-Overlapping Domain Decomposition Method for a Nodal Finite Element Method with a Boundary Element Method. International Journal for Numerical Methods in Engineering, 73(11):1624-1650, 2008.
Y. Boubendir, X. Antoine and C. Geuzaine. A Quasi-OptimalNon-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation. Journal of Computational Physics, 231:262-280, 2012.