Smoothers for Matrix-Free Algebraic Multigrid Preconditioning of High-Order Finite Elements
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
We investigate smoothers for use in matrix-free algebraic multigrid (AMG) preconditioning of high-order finite element problems. These AMG preconditioners are matrix-free in the sense that they are built from a related low-order refined finite element problem whose system matrix can be much more rapidly assembled than the high-order problem. Our proposed smoother, which we call distributive relaxation, is more robust to the anisotropy present in many low-order refined meshes which feature a clustering of nodes near the boundaries between high-order finite elements. For solving the low-order refined problem, we show that this new distributive relaxation smoother possesses significantly improved performance compared to more traditional smoothers.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- DOE Contract Number:
- AC52-07NA27344
- OSTI ID:
- 1660522
- Report Number(s):
- LLNL-TR-814531; 1023036
- Country of Publication:
- United States
- Language:
- English
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