A Priori Error Estimates for Some Discontinuous Galerkin Immersed Finite Element Methods

被引：0

作者：

Tao Lin

Qing Yang

Xu Zhang

机构：

[1] Virginia Tech,Department of Mathematics

[2] Shandong Normal University,School of Mathematical Science

[3] Purdue University,Department of Mathematics

来源：

Journal of Scientific Computing | 2015年 / 65卷

关键词：

Immersed finite element; Discontinuous Galerkin; Cartesian mesh; Interface problems; Local mesh refinement;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we derive a priori error estimates for a class of interior penalty discontinuous Galerkin (DG) methods using immersed finite element (IFE) functions for a classic second-order elliptic interface problem. The error estimation shows that these methods can converge optimally in a mesh-dependent energy norm. The combination of IFEs and DG formulation in these methods allows local mesh refinement in the Cartesian mesh structure for interface problems. Numerical results are provided to demonstrate the convergence and local mesh refinement features of these DG-IFE methods.

引用

页码：875 / 894

页数：19

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