The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains

Computer Methods in Applied Mechanics and Engineering

Volumn 152, Issue 1-2, 1998, Pages 125-145

  Gerdes, K ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; VARIATIONAL TECHNIQUES;

HELMHOLTZ EQUATION; INFINITE ELEMENT (IE) DISCRETIZATIONS;

ACOUSTIC WAVE SCATTERING;

EID: 0031646489     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00186-2     Document Type: Article

References (11)

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2. I. Babuska and J.J. Shirron, Solution of exterior Helmholtz problems using finite and infinite elements, Dissertation preprint.
3. D.S. Burnett, A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion, J. Acoust. Soc. Am. 96 (1994) 2798-2816.
4. L. Demkowicz, Asymptotic convergence in finite and boundary element methods: Part 1: Theoretical results, Comput. Math. Applic. 27(12) (1994) 69-84.
5. L. Demkowicz and K. Gerdes, Convergence of the infinite element methods for the Helmholtz equation, TICAM Report 95-07.
6. P. Geng, J.T. Oden and R.A. van de Geijn, Massively parallel computation for acoustical scattering problems using boundary element methods, TICAM Report 94-10, August 1994.
7. K. Gerdes and L. Demkowicz, Solution of 3D Laplace and Helmholtz equations in exterior domains using hp infinite element methods, submitted May 1995.
8. K. Gerdes, Solution of the 3D Laplace and Helmholtz equation in exterior domains of arbitrary shape using HP-finite-infinite elements, Doctoral Dissertation, The University of Texas at Austin, 1996.
9. M.D. Greenberg, Foundation of Applied Mathematics (Prentice Hall, Englewood Cliffs, NJ, 1978).
10. R. Leis, Initial Boundary Value Problems in Mathematical Physics (Teubner, 1986).
11. P.M. Morse and J. Feshbach, Methods of Theoretical Physics, Vols. 1 and 2 (McGraw-Hill, New York, 1953).