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A Coupled Overlapping Finite Element Method for Analyzing Underwater Acoustic Scattering Problems
1. Introduction The research on acoustic problems has aroused much attention in past decades. The methods for solving acoustic problems mainly include experiments, analytical methods (and semi-analytical methods) [1], and numerical methods [2,3,4,5]. Experiments usually require much expense and suitable experimental conditions.
A Novel “Finite Element-Meshfree” Triangular Element Based on Partition of Unity for Acoustic Propagation Problems
Abstract : The accuracy of the conventional finite element (FE) approximation for the analysis of acoustic propagation is always characterized by an intractable numerical dispersion error. With the aim of enhancing the performance of the FE approximation for acoustics, a coupled FE-Meshfree numerical method based on triangular elements is proposed in this work.
The Extrinsic Enriched Finite Element Method with Appropriate Enrichment Functions for the Helmholtz Equation
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
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