...
首页> 外文期刊>Journal of Computational Physics >Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML model
【24h】

Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML model

机译:相同Berenger的PML模型空间有限差分方法的有限元和四阶的开发与分析

获取原文
获取原文并翻译 | 示例
           

摘要

This paper deals with an equivalent Berenger's Perfectly Matched Layer (PML) model. We first develop a finite element scheme using edge elements to solve this model. We prove a discrete stability of this method, which inherits the stability obtained in the continuous case. Then we propose a fourth-order in space finite difference scheme for solving this PML model. Numerical stability similar to the continuous stability and the optimal error estimate are established for the difference scheme. Here only second order time discretizations are considered for both schemes. Finally, numerical results are presented to justify our analysis and demonstrate the effectiveness of this PML model for absorbing impinging waves. (C) 2019 Elsevier Inc. All rights reserved.
机译:本文涉及等效的Berenger完全匹配的层(PML)模型。 我们首先使用边缘元素开发有限元方案来解决此模型。 我们证明了这种方法的离散稳定性,其继承了连续情况下获得的稳定性。 然后我们提出了第四顺,在空间有限差分方案中解决了该PML模型。 为差分方案建立了类似于连续稳定性和最佳误差估计的数值稳定性。 这里只考虑两种方案的二阶时间离散化。 最后,提出了数值结果以证明我们的分析证明该PML模型吸收撞击波的有效性。 (c)2019 Elsevier Inc.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号