通俗易懂地理解AMG(Algebraic Multigrid)代数多重网格 AMG也就是代数多重网格是一种思想,是用来解决Ax=b这个问题的。 解决Ax=b有两种基本方法:迭代法和直接法。直接法也就是直接求解x,这里不再赘述。 迭代法的思想是不断逼近,例如初始状态取x=0,此时残差r=b−Ax,根据残差调整x的值,使其不断逼近,直到收敛。
Synonyms Algebraic Multigrid; AMG Definition Algebraic multigrid (AMG) methods are used to approximate solutions to (sparse) linear systems of equations using the multilevel strategy of relaxation and coarse-grid correction that are used in geometric multigrid (GMG) methods. While partial differential ...
EXPOSING FINE-GRAINED PARALLELISM IN ALGEBRAIC MULTIGRID METHODS NATHAN BELL† , STEVEN DALTON‡ , AND LUKE N. OLSON§ Abstract. Algebraic multigrid methods for large, sparse linear systems are a necessity in many computational simulations, yet parallel algorithms for such solvers are generally ...
J. W. Ruge, and K. Stuben, “Algebraic Multigrid”,Multigrid Methods(S. F. McCormick, Editor), Frontiers in Applied Mathematics, SIAM, 1987. Google Scholar J. P. Van Doormaal and G. D. Raithby, “The Segregated Approach to Predicting Viscous Compressible Fluids Flows”,Journal of TurboMa...
并行计算网格粗化In recent years, the need to solve linear systems arising from problems posed on large scale, unstructured grids has sparked great interest in parallelizing algebraic multigrid (AMG). In this paper, based on classical AMG method, we introduce a new parallel algorithm for selecting...
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ALGEBRAIC MULTIGRID BASED ON ELEMENT INTERPOLATION (AMGe). We introduce AMGe, an algebraic multigrid method for solving the discrete equations that arise in Ritz-type finite element methods for partial differential... Brezina,M.,Cleary,... - 《Siam Journal on Scientific Computing》 被引量: 302发...
Algebraic multigrid methods for large, sparse linear systems are central to many computational simulations. Parallel algorithms for such solvers are generally decomposed into coarse-grain tasks suitable for distributed computers with traditional processing cores. Accelerating multigrid methods on massively parall...
ALGEBRAIC MULTIGRID FOR LINEAR SYSTEMS OBTAINED BYEXPLICIT ELEMENT REDUCTION∗THOMAS A. BRUNNER†AND TZ..
Algebraic multigrid method(AMG) and a new five-point scheme were used in this research. BFC(边界拟合坐标变换)法与代数多重网格方法(简称AMG方法)及一种新五点格式相结合的数值方法,对总扩散角为8,°扩散度为4的锥形渐扩管内充分发展的不可压粘性紊流场进行了数值仿真预测,并将计算结果与实验结果和Point...