Automatic mapping operator construction for subspace correction method to solve a series of linear systems

Takeshi Iwashita, Shigeru Kawaguchi, Takeshi Mifune, Tetsuji Matsuo · JSIAM Letters · 2017

We propose a mapping operator construction technique for error correction methods applied to a series of linear systems.The mapping operator is constructed based on information obtained in the previous solution step.The additional memory requirement for the construction is limited.Our numerical experiments based on an electromagnetic field analysis confirmed that the correction method with the proposed mapping operator improves the convergence of the iterative solver.

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