Development of a deflation-based linear solver in reservoir simulation

Extreme and isolated eigenvalues are known to be harmful to the convergence of the iterative solver. These eigenvalues are produced by strong heterogeneity in the underlying physics. We can improve the quality of the spectrum by ‘deflating’ the harmful eigenvalues. In this thesis, deflation is applied to linear systems in reservoir simulation....

Efficient Iterative Solution of Large Linear Systems on Heterogeneous Computing Systems

This dissertation deals mainly with the design, implementation, and analysis of efficient iterative solution methods for large sparse linear systems on distributed and heterogeneous computing systems as found in Grid computing. First, a case study is performed on iteratively solving large symmetric linear systems on both a multi–cluster and a...