Multi-Level Adaptive Techniques (MLAT) for Partial Differential Equations: Ideas and Software

1977 ◽  
pp. 277-318 ◽  
Author(s):  
Achi Brandt
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Adaptive Techniques ◽  
Multi Level

A Parallelized Algebraic Multi-Grid Matrix Solver

2011 ◽  
Author(s):  
Xiang Zhao ◽  
Zhi Yang ◽  
Sijun Zhang ◽  
Chien-Pin Chen
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Parallel Algorithm ◽  
Fluid Flows ◽  
Flow Fields ◽  
Partial Differential ◽  
Mathematical Properties ◽  
Grid Coarsening ◽  
Multi Level ◽  
And Performance

Algebraic multi-grid (AMG) is increasingly used for large practical problems, its parallelization is highly demanded. A parallel algorithm to enhance the robustness and performance for AMG was proposed with regard to unique characteristics of partial differential equations governing fluid flows. A building strategy was developed to accomplish grid coarsening and build the hierarchy of multi-level grids. Moreover an agglomeration approach was proposed, which stems from the consideration of both the physical and mathematical properties of flow fields. The parallelized AMG has demonstrated excellent performances and strong enhancement on many cases.

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