...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Scientific Computing >Continuous Galerkin and Enriched Galerkin Methods with Arbitrary Order Discontinuous Trial Functions for the Elliptic and Parabolic Problems with Jump Conditions
【24h】

Continuous Galerkin and Enriched Galerkin Methods with Arbitrary Order Discontinuous Trial Functions for the Elliptic and Parabolic Problems with Jump Conditions

机译：连续的Galerkin和丰富的Galerkin方法，具有任意订单不连续试验功能，用于椭圆和抛物面问题的椭圆和抛物面问题

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, a new version of the enriched Galerkin (EG) method for elliptic and parabolic equations is presented and analyzed, which is capable of dealing with a jump condition along a submanifold Gamma(LG). The jump condition is known as Henry's law in a stationary diffusion process. Here, the novel EG finite element method is constructed by enriching the continuous Galerkin finite element space by not only piecewise constants but also with piecewise polynomials with an arbitrary order. In addition, we extend the proposed method to consider new versions of a continuous Galerkin (CG) and a discontinuous Galerkin (DG) finite element method. The presented uniform analyses for CG, DG, and EG account for a spatially and temporally varying diffusion tensor which is also allowed to have a jump at Gamma(LG) and gives optimal convergence results. Several numerical experiments verify the presented analyses and illustrate the capability of the proposed methods.
机译：在本文中，提出和分析了一种用于椭圆形和抛物型方程的富集的Galerkin（例如）方法的新版本，其能够沿着子丙基γ（LG）处理跳转条件。在静止扩散过程中，跳跃状况被称为亨利法律。这里，通过不仅通过分段常数来富集连续的Galerkin有限元空间，而且是通过分段常数来构造的新颖，例如有限元方法，还通过分段常数来构造，而且是具有任意顺序的分段多项式。此外，我们延长了所提出的方法，以考虑连续Galerkin（CG）和不连续的Galerkin（DG）有限元方法的新版本。所呈现的CG，DG和例如在空间和时间变化的扩散张量的均匀分析，其也允许在γ（LG）处具有跳跃并提供最佳的收敛结果。若干数值实验验证了所提出的分析并说明所提出的方法的能力。

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