Overview of Preconditioned Conjugate Gradient (PCG) methods in concurrent finite element analysis
Technical Report
·
OSTI ID:6244814
The theory of preconditioned conjugate gradient (PCG) methods is discussed, with emphasis on the features of this class of iterative methods that make them amenable to, or pose problems for, finite element analysis in a parallel processing environment. The discussion focuses on symmetric, positive definite (SPD) matrix equations (which, for example, are commonplace in solid mechanics), with mention of the state-of-the-art of PCG methods generalized for non-SPD problems (which often arise in fluid mechanics). A new class of preconditioners is proposed (and is now being tested), based on experience with both direct and iterative methods for concurrent solution of finite element equations. Results of research with both conventional and novel PCG algorithms will appear in subsequent reports.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6244814
- Report Number(s):
- SAND-85-2727; ON: DE86006659
- Country of Publication:
- United States
- Language:
- English
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