Generalized finite element and finite differences methods for the Helmholtz problem

We briefly review the Quasi Optimal Finite Difference (QOFD) and Petrov-Galerkin finite element (QOPG) methods for the Helmholtz problem recently introduced in references [1] and [2], respectively, and extend these formulations to heterogeneous media and singular sources. Results of numerical experi...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2010-06, Vol.10 (1), p.012157-012157
Main Authors: Loula, Abimael F D, Fernandes, Daniel T, Silva, Rubem A
Format: Article
Language:English
Subjects:
Blended
Boundaries
Conferences
Finite difference method
Finite element method
Marketing
Mathematical analysis
Mathematical models
Optimization
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Summary:We briefly review the Quasi Optimal Finite Difference (QOFD) and Petrov-Galerkin finite element (QOPG) methods for the Helmholtz problem recently introduced in references [1] and [2], respectively, and extend these formulations to heterogeneous media and singular sources. Results of numerical experiments are presented illustrating the blended use of these methods on general meshes to take advantage of the lower cost and simplicity of the finite difference approach combined with the natural ability of the finite element method to deal with source terms, boundary and interface conditions.
ISSN:1757-899X
1757-8981
1757-899X
DOI:10.1088/1757-899X/10/1/012157