A numerical comparison of finite element methods for the Helmholtz equation

Journal of Computational Acoustics

Volumn 8, Issue 1, 2000, Pages 211-221

  Oberai, Assad A ^a   Pinsky, Peter M ^a  

^a Stanford University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034345539     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X00000133     Document Type: Article

References (9)

1. I. Babuška, F. Ihlenburg, E. T. Paik, and S. A. Sauter, "A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution," Comput. Meths. Appl. Mech. Eng. 128 (1995), 325-359.
2. R. W. Freund and N. M. Nachtigal, "QMR: A quasi-minimal residual method for non-Hermitian linear systems," Numer. Math. 60 (1991), 315-339.
3. I. Harari and T. J. R. Hughes, "Galerkin/least-squares finite element methods for the reduced wave equation with nonreflecting boundary conditions in unbounded domains," Comput. Meths. Appl. Mech. Eng. 98 (1992), 411-454.
4. F. Ihlenburg, Finite Element Scattering of Acoustic Scattering, 1st edition (Springer-Verlag, New York, 1998).
5. F. Ihlenburg and I. Babuška, "Finite element solution of the Helmholtz equation with high wave number. I. The h-version of the FEM," Comp. Math. Appl. 30(9) (1995), 9-37.
6. M. C. Junger and D. Feit, Sound, Structures, and Their Interaction, 2nd edition (The MIT Press, Cambridge, USA, 1985).
7. M. Malhotra, A. A. Oberai, and P. M. Pinsky, "Implementing infinite elements for large-scale problems in structural acoustics," in preparation, 1999.
8. A. A. Oberai and P. M. Pinsky, "A residual-based finite element method for the Helmholtz equation," Int. J. Num. Meth. Eng., accepted, 1999.
9. L. L. Thompson and P. M. Pinsky, "A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation," Int. J. Num. Meth. Eng. 38 (1995), 371-397.