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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A new scheme to obtain pollution-free solution for plane waves and to generate a continuous Petrov-Galerkin method for the Helmholtz problem
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A new scheme to obtain pollution-free solution for plane waves and to generate a continuous Petrov-Galerkin method for the Helmholtz problem

机译：一种获得平面波无污染解决方案并为亥姆霍兹问题生成连续Petrov-Galerkin方法的新方案

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摘要

In this paper, we propose a new scheme to solve the Helmholtz problem. The proposed scheme has the ability to obtain a pollution-free solution and with good accuracy, when the exact solution is a plane wave or a superposition of plane waves with the same direction of propagation. This ability is valid for all the directions of plane waves. The scheme can be naturally extended to include other types of solutions of the homogeneous Helmholtz equation, as for example: cylindrical waves. The presented results confirm the ability described previously to obtain a pollution-free solution for all the directions of propagation of the plane waves. Also in this paper we propose a new continuous Petrov-Galerkin method with the goal to analyze Helmholtz problems where the solution is not a plane wave or a superposition of plane waves. This method was applied to non-homogeneous Helmholtz problems having good accuracy. (C) 2019 Elsevier B.V. All rights reserved.
机译：在本文中，我们提出了一种解决亥姆霍兹问题的新方案。当精确的解决方案是平面波或具有相同传播方向的平面波的叠加时，所提出的方案能够获得无污染的解决方案，并且具有良好的精度。此功能对平面波的所有方向均有效。该方案可以自然地扩展为包括齐次亥姆霍兹方程的其他类型的解，例如：圆柱波。呈现的结果证实了先前描述的获得平面波传播所有方向的无污染解决方案的能力。同样在本文中，我们提出了一种新的连续Petrov-Galerkin方法，其目的是分析解决方案不是平面波也不是平面波叠加的亥姆霍兹问题。该方法应用于具有良好准确性的非均匀亥姆霍兹问题。 （C）2019 Elsevier B.V.保留所有权利。

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  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2020年第1期|112674.1-112674.24|共24页
  • 作者

  • 作者单位

    Univ Fed Rio de Janeiro Nucl Engn Dept COPPE PB 68509 BR-21945970 Rio De Janeiro RJ Brazil|Univ Fed Rio de Janeiro Civil Engn Dept COPPE PB 68506 BR-21945970 Rio De Janeiro RJ Brazil|Univ Fed Rio de Janeiro Lamemo Lab COPPE Av Pedro Calmon S-N BR-21941596 Rio De Janeiro RJ Brazil;

    Univ Fed Rio de Janeiro Civil Engn Dept COPPE PB 68506 BR-21945970 Rio De Janeiro RJ Brazil|Univ Fed Rio de Janeiro Lamemo Lab COPPE Av Pedro Calmon S-N BR-21941596 Rio De Janeiro RJ Brazil;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Helmholtz problem; Petrov-Galerkin; Pollution error;

    机译：亥姆霍兹问题;彼得罗夫-加勒金污染误差;

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