On the finite element method for time-harmonic acoustic boundary value problems
Neittaanmäki, P., Picard, R. (1981). On the finite element method for time-harmonic acoustic boundary value problems. Computers & Mathematics wit Applications 7 (2), 127-138. 10.1016/0898-1221(81)90111-5
Published in
Computers & Mathematics with ApplicationsDate
1981Access restrictions
Copyright
© the Authors & Pergamon Press
The time harmonic acoustic boundary value problem in a smooth, bounded domain G of R2 is considered as a first order system. The optimal asymptotic L2(G) and H1(G)-error estimates 0(h2) and 0(h) resp. are derived for a piecewise linear finite element approximation.
Publisher
Pergamon PressISSN Search the Publication Forum
0898-1221Metadata
Show full item recordCollections
License
Related items
Showing items with similar title or keywords.
-
Spectral element method and controllability approach for time-harmonic wave propagation
Mönkölä, Sanna (University of Jyväskylä, 2008) -
Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements
Mönkölä, Sanna (Elsevier, 2010)The classical way of solving the time-harmonic linear acousto-elastic wave problem is to discretize the equations with finite elements or finite differences. This approach leads to large-scale indefinite complex-valued ... -
An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes
Mönkölä, Sanna (Elsevier, 2013)This study considers developing numerical solution techniques for the computer simulations of time-harmonic fluid-structure interaction between acoustic and elastic waves. The focus is on the efficiency of an iterative ... -
Time-harmonic elasticity with controllability and higher-order discretization methods
Mönkölä, Sanna; Heikkola, Erkki; Pennanen, Anssi; Rossi, Tuomo (Elsevier, 2008)The time-harmonic solution of the linear elastic wave equation is needed for a variety of applications. The typical procedure for solving the time-harmonic elastic wave equation leads to difficulties solving large-scale ... -
Controllability method for acoustic scattering with spectral elements
Heikkola, Erkki; Mönkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo (Elsevier, 2007)We formulate the Helmholtz equation as an exact controllability problem for the time-dependent wave equation. The problem is then discretized in time domain with central finite difference scheme and in space domain with ...