On an energy minimizing basis for algebraic multigrid methods

By Jinchao Xu, Ludmil T. Zikatanov. 2004

117 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/9b72b04e6babea3628bcb368996b7c40c6eda14b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Yalchin R. Efendiev
2. Juan Galvis
3. Thomas Y. Hou
4. Ludmil T. Zikatanov
5. James J. Brannick
6. Marco Discacciati
7. Alfio Maria Quarteroni
8. Sabine Attinger

In Computational Theory and Mathematics

1. Yalchin R. Efendiev
2. Juan Galvis
3. Thomas Y. Hou
4. Ludmil T. Zikatanov
5. James J. Brannick
6. Marco Discacciati
7. Alfio Maria Quarteroni
8. Sabine Attinger

In Electrical and Electronic Engineering

1. Juan Galvis
2. Yalchin R. Efendiev
3. James J. Brannick
4. Thomas Y. Hou
5. Ludmil T. Zikatanov

Citations in the corpus

• Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces (2010, methodology): “One can solve (47) following the similar procedure as discussed in [26].”
• Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimization (2007, methodology): “Existence and uniqueness are shown in [WCS00, XZ04 ].”
• Generalized multiscale finite element methods (GMsFEM) (2013, methodology): “We can also use energy minimizing basis functions that are defined (see [56]) as”