A practical framework for the construction of prolongation operators for multigrid based on canonical basis functions

Journal article


Publication Details

Author(s): Roman W, Köstler H
Journal: Computing and Visualization in Science
Publisher: Springer Verlag
Publication year: 2010
Volume: 13
Journal issue: 8
Pages range: 207-220
ISSN: 1432-9360


Abstract

We discuss a general framework for the construction of prolongation operators for multigrid methods. It turns out that classical black-box prolongation or prolongation operators based on smoothed aggregation can be classified as special cases. The approach is suitable both for geometric and for purely algebraic multigrid settings. It allows for a simple and efficient implementation and parallelization by introducing canonical basis functions. We show numerical results for several diffusion problems with strongly varying or jumping coefficients. As one possible application for our method we choose three-dimensional medical image segmentation. In addition to that a nonsymmetric convection-diffusion problem is presented. © 2010 Springer-Verlag.


FAU Authors / FAU Editors

Köstler, Harald Prof. Dr.
Lehrstuhl für Informatik 10 (Systemsimulation)


How to cite

APA:
Roman, W., & Köstler, H. (2010). A practical framework for the construction of prolongation operators for multigrid based on canonical basis functions. Computing and Visualization in Science, 13(8), 207-220. https://dx.doi.org/10.1007/s00791-010-0138-0

MLA:
Roman, Wienands, and Harald Köstler. "A practical framework for the construction of prolongation operators for multigrid based on canonical basis functions." Computing and Visualization in Science 13.8 (2010): 207-220.

BibTeX: 

Last updated on 2018-19-09 at 15:08