Finite element analysis of pressure formulation of the elastoacoustic problem
Finite element analysis of pressure formulation of the elastoacoustic problem
In this paper we analyze the non symmetric pressure/displacement formulation of the elastoacoustic vibration problem and show its equivalence with the (symmetric) stiffness coupling formulation. We introduce discretizations for these problems based on Lagrangian finite elements. We show that both formulations are also equivalent at discrete level and prove optimal error estimates for eigenfunctions and eigenvalues. Both formulations are rewritten such as to be solved with a standard Matlab eigensolver. We report numerical results comparing the efficiency of the methods over some test examples.
29-51
Bermudez, A.
27183172-1114-46d3-bbd9-141879027362
Gamallo Ponte, P.
363415df-73f7-43d1-9c0c-345261281ef2
Hervella-Nieto, E.
94020d80-6b7c-4aad-98d9-3171f9f0787d
Rodriguez, E.
647a092d-014a-4b88-8d89-b050e18f5417
2003
Bermudez, A.
27183172-1114-46d3-bbd9-141879027362
Gamallo Ponte, P.
363415df-73f7-43d1-9c0c-345261281ef2
Hervella-Nieto, E.
94020d80-6b7c-4aad-98d9-3171f9f0787d
Rodriguez, E.
647a092d-014a-4b88-8d89-b050e18f5417
Bermudez, A., Gamallo Ponte, P., Hervella-Nieto, E. and Rodriguez, E.
(2003)
Finite element analysis of pressure formulation of the elastoacoustic problem.
Numerische Mathematik, 95 (1), .
(doi:10.1007/s00211-002-0414-0).
Abstract
In this paper we analyze the non symmetric pressure/displacement formulation of the elastoacoustic vibration problem and show its equivalence with the (symmetric) stiffness coupling formulation. We introduce discretizations for these problems based on Lagrangian finite elements. We show that both formulations are also equivalent at discrete level and prove optimal error estimates for eigenfunctions and eigenvalues. Both formulations are rewritten such as to be solved with a standard Matlab eigensolver. We report numerical results comparing the efficiency of the methods over some test examples.
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Published date: 2003
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Local EPrints ID: 10326
URI: http://eprints.soton.ac.uk/id/eprint/10326
PURE UUID: c9c0291b-fc29-4707-96d6-8a1bb28bff92
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Date deposited: 01 Jun 2005
Last modified: 15 Mar 2024 04:59
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Author:
A. Bermudez
Author:
P. Gamallo Ponte
Author:
E. Hervella-Nieto
Author:
E. Rodriguez
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