Title page for ETD etd-12398-18633

Type of Document Master's Thesis
Author Yao, Aixiang I Song
Author's Email Address ayao@csgrad.cs.vt.edu
URN etd-12398-18633
Title An Efficient Parallel Three-Level Preconditioner for Linear Partial Differential Equations
Degree Master of Science
Department Computer Science
Advisory Committee
Advisor Name Title
Ribbens, Calvin J. Committee Chair
Beattie, Christopher A. Committee Member
Watson, Layne T. Committee Member
  • domain decomposition
  • preconditioner
  • parallel computing
  • PDE
  • distributed systems
Date of Defense 1998-02-05
Availability unrestricted
The primary motivation of this research is to develop

and investigate parallel preconditioners

for linear elliptic partial differential equations.

Three preconditioners are studied: block-Jacobi preconditioner (BJ),

a two-level tangential preconditioner (D0), and a three-level

preconditioner (D1). Performance and

scalability on a distributed memory parallel computer

are considered. Communication cost and

redundancy are explored as well.

After experiments and analysis, we find that the three-level

preconditioner D1 is the most efficient and scalable parallel

preconditioner, compared to BJ and D0. The D1 preconditioner

reduces both the number of iterations and computational time

substantially. A new hybrid preconditioner is suggested which

may combine the best features of D0 and D1.

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