Acceleration and Parallelization of a Linear Equation Solver for Crack Growth Simulation Based on the Phase Field Model
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We aim to accelerate the linear equation solver for crack growth simulation based on the phase field model. As a first step, we analyze the properties of the coefficient matrices and prove that they are symmetric positive definite. This justifies the use of the conjugate gradient method with the efficient incomplete Cholesky preconditioner. We then parallelize this preconditioner using so-called block multi-color ordering and evaluate its performance on multicore processors. The experimental results show that our solver scales well and achieves an acceleration of several times over the original solver based on the diagonally scaled CG method.
2019 ◽
Vol 132
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pp. 103684
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2013 ◽
Vol 47
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pp. 31-43
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2011 ◽
Vol 88
(5)
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pp. 473-492
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Dislocation Dynamics Simulation based on Phase-Field Model : Application to Non-Uniform Stress Field
2003 ◽
Vol 2003.78
(0)
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pp. _7-15_-_7-16_
2010 ◽
Vol 2010
(0)
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pp. 17-18
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2015 ◽
Vol 8
(7)
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pp. 890-900
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2022 ◽
Vol 388
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pp. 114286
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