Coarsening by compatible relaxation

2004 ◽  
Vol 11 (23) ◽  
pp. 205-227 ◽  
Author(s):  
O. E. Livne
Keyword(s):  
Compatible Relaxation

scholarly journals Compatible Relaxation and Coarsening in Algebraic Multigrid

2010 ◽  
Vol 32 (3) ◽  
pp. 1393-1416 ◽  
Author(s):  
James J. Brannick ◽  
Robert D. Falgout
Keyword(s):  
Algebraic Multigrid ◽  
Compatible Relaxation

scholarly journals Bootstrap Algebraic Multigrid: Status Report, Open Problems, and Outlook

2015 ◽  
Vol 8 (1) ◽  
pp. 112-135 ◽  
Author(s):  
Achi Brandt ◽  
James Brannick ◽  
Karsten Kahl ◽  
Ira Livshits
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Algebraic Multigrid ◽  
Status Report ◽  
Open Problems ◽  
Highly Oscillatory ◽  
Test Vectors ◽  
Development Analysis ◽  
Main Ideas ◽  
Compatible Relaxation

AbstractThis paper provides an overview of the main ideas driving the bootstrap algebraic multigrid methodology, including compatible relaxation and algebraic distances for defining effective coarsening strategies, the least squares method for computing accurate prolongation operators and the bootstrap cycles for computing the test vectors that are used in the least squares process. We review some recent research in the development, analysis and application of bootstrap algebraic multigrid and point to open problems in these areas. Results from our previous research as well as some new results for some model diffusion problems with highly oscillatory diffusion coefficient are presented to illustrate the basic components of the BAMG algorithm.

scholarly journals Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid

2018 ◽  
Vol 40 (3) ◽  
pp. A1473-A1493 ◽  
Author(s):  
James Brannick ◽  
Fei Cao ◽  
Karsten Kahl ◽  
Robert D. Falgout ◽  
Xiaozhe Hu
Keyword(s):  
Algebraic Multigrid ◽  
Optimal Interpolation ◽  
Compatible Relaxation
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