A NUMERICAL COMPARISON OF FINITE ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
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Publication:2981655
DOI10.1142/S0218396X00000133zbMath1360.76149OpenAlexW4243952940MaRDI QIDQ2981655
Assad A. Oberai, Peter M. Pinsky
Publication date: 9 May 2017
Published in: Journal of Computational Acoustics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218396x00000133
PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
