nonsymmetric dynamics

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Contents 1 Notational Conventions 7 2 Overview 7 3 Multigrid Background 7 4 Quick Start 8 5 Configuring and Building ML 9 5.1 Building in Standalone Mode . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.2 Building with Aztec 2.1 Support . . . . . . . . . . . . . . . . . . . . . . . 10 5.3 Building with Trilinos Support (RECOMMENDED) . . . . . . . . . . . . 10 5.3.1 Enabling Third Party Library Support . . . . . . . . . . . . . . . . . 11 5.3.2 Enabling Profiling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 5.3.3 Linking to ML . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 6 ML and Epetra: Getting Started with the MultiLevelPreconditioner Class 14 6.1 Example 1: ml preconditioner.cpp . . . . . . . . . . . . . . . . . . . . . . . . 14 6.2 Example 2: ml 2level DD.cpp . . . . . . . . . . . . . . . . . . . . . . . . . . 16 6.3 Tips for Achieving Good Parallel Performance . . . . . . . . . . . . . . . . . 18 6.3.1 Hints for the Impatient User . . . . . . . . . . . . . . . . . . . . . . . 18 6.3.2 Dynamic Load-balancing . . . . . . . . . . . . . . . . . . . . . . . . . 18 6.4 List of All Parameters for MultiLevelPreconditioner Class . . . . . . . . . . . 21 6.4.1 Using Parameters on Individual Levels . . . . . . . . . . . . . . . . . 21 6.4.2 Parameter Validation . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 6.4.3 General Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 6.4.4 Multigrid Cycle Options . . . . . . . . . . . . . . . . . . . . . . . . . 24 6.4.5 Aggregation and Prolongator Parameters . . . . . . . . . . . . . . . . 24 6.4.6 Smoothing Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . 27 6.4.7 Coarsest Grid Parameters . . . . . . . . . . . . . . . . . . . . . . . . 29 6.4.8 Load-balancing Options . . . . . . . . . . . . . . . . . . . . . . . . . 30 6.4.9 Analysis Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 6.4.10 Miscellaneous Options . . . . . . . . . . . . . . . . . . . . . . . . . . 31 6.4.11 Smoothed Aggregation and the Null Space . . . . . . . . . . . . . . . 32 6.4.12 Aggregation Strategies . . . . . . . . . . . . . . . . . . . . . . . . . . 33 6.5 Default Parameter Settings for Common Problem Types . . . . . . . . . . . 34 6.6 Analyzing the ML preconditioner . . . . . . . . . . . . . . . . . . . . . . . . 36 6.6.1 Cheap Analysis of All Level Matrices . . . . . . . . . . . . . . . . . . 36 6.6.2 Analyze the Effect of Smoothers . . . . . . . . . . . . . . . . . . . . . 37 6.6.3 Analyze the effect of the ML cycle on a random vector . . . . . . . . 37 6.6.4 Test different smoothers . . . . . . . . . . . . . . . . . . . . . . . . . 38 6.7 Visualization Capabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 6.7.1 Visualizing the Aggregates . . . . . . . . . . . . . . . . . . . . . . . . 40 6.7.2 Visualizing the effect of the ML Preconditioner and Smoothers . . . 41 5
Page 1: SAND2006-2649 Unlimited Release Pri
Page 5 and 6: 1 Notational Conventions In this gu
Page 7 and 8: 5. Build Trilinos: make. 4 6. If yo
Page 9 and 10: If required, other Trilinos and ML
Page 11 and 12: which turns off compilation and lin
Page 13 and 14: ML_Epetra::MultiLevelPreconditioner
Page 15 and 16: MLList.set("increasing or decreasin
Page 17 and 18: Jacobi Point-Jacobi. Specify dampin
Page 19 and 20: user must load the coordinates, of
Page 21 and 22: print unused ML print initial list
Page 23 and 24: aggregation: damping factor [double
Page 25 and 26: energy minimization: type [int] Cho
Page 27 and 28: subsmoother: Chebyshev alpha ⋆ [d
Page 29 and 30: epartition: node max min ratio [dou
Page 31 and 32: null space: vectors to compute [int
Page 33 and 34: Option Name Type SA DD DD-ML maxwel
Page 35 and 36: Max_i ( \sum_{j!=i} abs(a(i,j)) ) =
Page 37 and 38: An example of output is reported be
Page 39 and 40: x-coord y-coord Next, connectivity
Page 41 and 42: also valid in this case MLPrec->Pri
Page 43 and 44: Xd3d 8.2.1 (14 May 2004) 24/08/04 m
Page 45 and 46: 7.4 Solver #1: Maxwell The Maxwell
Page 47 and 48: 7.5.4 Setting parameter options Ref
Page 49 and 50: 9 Multigrid & Smoothing Options Sev
Page 51 and 52: 10 Smoothed Aggregation Options Whe
Page 53 and 54:
other DOF throughout the graph. In
Page 55 and 56:
The function ML Set Amatrix Matvec
Page 57 and 58:
columns 0, 1, 3, and 4 are stored l
Page 59 and 60:
itemp = (int *) A_data; proc = *ite
Page 61 and 62:
-D CMAKE_C_FLAGS:STRING="-fPIC" \ -
Page 63 and 64:
13.3.5 Aggregate Mode Status mode i
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