Further exploration of model truncation to extend the applicability of the finite element method to higher frequencies
Anthony L. Bonomo
Abstract
Anthony L. Bonomo
Abstract
In a previous presentation, the use of model truncation to extend the applicability of the finite element method to higher frequencies was explored. This talk furthers that exploration and focuses on the development of an easy-to-implement alternative to the perfectly matched layer for the truncation of semi-infinite problems with coupled structural and acoustic domains. Numerical results showing the efficacy of the proposed method are discussed and a method to bound the error that results from treating a large finite structural as semi-infinite is considered. It is hoped that the proposed method helps facilitate extension of the finite element method to mid-frequency applications. [Work supported by ONR.]
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In a previous presentation, the use of model truncation to extend the applicability of the finite element method to higher frequencies was explored. This talk furthers that exploration and focuses on the development of an easy-to-implement alternative to the perfectly matched layer for the truncation of semi-infinite problems with coupled structural and acoustic domains. Numerical results showing the efficacy of the proposed method are discussed and a method to bound the error that results from treating a large finite structural as semi-infinite is considered. It is hoped that the proposed method helps facilitate extension of the finite element method to mid-frequency applications. [Work supported by ONR.]
Key concepts: Truncation (statistics), Finite element method, Truncation error, Computer science, Extension (predicate logic), Element (criminal law), Applied mathematics, Presentation (obstetrics)