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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Plane wave enriched Partition of Unity Isogeometric Analysis (PUIGA) for 2D-Helmholtz problems
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Plane wave enriched Partition of Unity Isogeometric Analysis (PUIGA) for 2D-Helmholtz problems

机译：平面波丰富了2D-亥姆霍兹问题的等距几何分析（PUIGA）的分区

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摘要

In general, numerical concerns in simulation of time harmonic acoustic waves are mainly due to the dispersion errors and the demands in modeling the problems with higher number of degrees of freedom per wavelength to obtain acceptable results. As a remedy, plane wave enriched Partition of Unity Finite Element Method (PUFEM) was earlier proposed by Melenk and Babuska (1996). Even though, PUFEM gives accurate results with lesser degrees of freedom and shows exponential convergence, it suffers from the approximate representation of geometry and leads to the boundary representation induced errors. In this regard, plane wave enriched PUFEM under Isogeometric framework named Partition of Unity Isogeometric Analysis (PUIGA) is proposed for accurate geometry representation and smooth solution approximation which can lead to a better solution. Several benchmark problems are considered in the present study, to illustrate the computational effectiveness of PUIGA. (C) 2018 Elsevier B.V. All rights reserved.
机译：通常，时间谐波声波仿真中的数值问题主要是由于色散误差，以及对建模每个波长具有更高自由度数以获得可接受结果的问题的需求。作为一种补救方法，Melenk和Babuska（1996）较早提出了富集平面波的统一有限元方法（PUFEM）的划分。即使PUFEM可以以较小的自由度给出准确的结果，并显示出指数收敛性，但它遭受几何的近似表示，并导致边界表示引起的误差。在这方面，为了实现精确的几何表示和平滑的解近似，提出了一种在等几何框架下的平面波富集的PUFEM，该框架称为统一等几何分析分区（PUIGA）。在本研究中考虑了几个基准问题，以说明PUIGA的计算效果。 （C）2018 Elsevier B.V.保留所有权利。

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