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- W2335248847 abstract "Implicit methods for nite-volume schemes on unstructured grids typically rely on a matrix-free implementation of GMRES and an explicit rst-order Jacobian for preconditioning. We show that it is possible to form the higher-order Jacobian explicitly at a reasonable computational cost. This is demonstrated for cases using both limited and unlimited reconstruction. The bene ts resulting from improvements in preconditioning and the elimination of residual evaluations in the inner iterations of the matrix-free GMRES method are substantial. Computational results are presented for 2nd, 3rd, and 4th order accurate schemes. Overall computational cost for the matrix-explicit method is lower than the matrix-free method for all cases. The fourth-order matrix-explicit scheme is a factor of 2.5 to 3 faster than the matrix-free scheme while using only about 50% more memory." @default.
- W2335248847 created "2016-06-24" @default.
- W2335248847 creator A5055411368 @default.
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- W2335248847 date "2007-06-15" @default.
- W2335248847 modified "2023-09-23" @default.
- W2335248847 title "Matrix-Explicit GMRES for a Higher-Order Accurate Inviscid Compressible Flow Solver" @default.
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- W2335248847 doi "https://doi.org/10.2514/6.2007-3943" @default.
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