.png){kind=icon}
.png){kind=icon}
Return
A robust multigrid method for Isogeometric Analysis in two dimensions using boundary correction
.png){kind=icon}
OA
AI
DOI：10.1016/j.cma.2016.04.003.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We consider geometric multigrid methods for the solution of linear systems arising from isogeometric discretizations of elliptic partial differential equations. For classical finite elements, such methods are well known to be fast solvers showing optimal convergence behavior. However, the naive application of multigrid to the isogeometric case results in significant deterioration of the convergence rates if the spline degree is increased. Recently, a robust approximation error estimate and a corresponding inverse inequality for B-splines of maximum smoothness have been shown, both with constants independent of the spline degree. We use these results to construct multigrid solvers for discretizations of two-dimensional problems based on tensor product B-splines with maximum smoothness which exhibit robust convergence rates. (C) 2016 Elsevier B.V. All rights reserved.
Keywords:
Isogeometric Analysis
Geometric multigrid
Robustness
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
7.3
Papers:
1.3W
Citations:
5.6W