.png){kind=icon}
.png){kind=icon}
Return
A simple method for matrix-valued coefficient elliptic equations with sharp-edged interfaces
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2014.06.084.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
The traditional finite element method has a number of nice properties, and thus it is highly desired for matrix-valued coefficient elliptic equations with sharp-edged interfaces. However, its efficient implementation with body-fitting grids for such problems is highly non-trivial. In this paper, we propose a simple finite element method with body-fitting grids based on semi-Cartesian grid, which makes its implementation fairly straightforward, even for complicated geometry. All possible situations that the interface cuts the grid are considered. Further, the symmetry and positive definiteness of the resulting matrix are ensured for positive definite coefficients. Numerical experiments show that it is second order accurate in the L-infinity norm and numerically very stable. (C) 2014 Elsevier Inc. All rights reserved.
Keywords:
Traditional finite element method
Elliptic equation with matrix-valued coefficients
Body-fitting grids
Sharp-edged interface
Symmetric positive definite
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W