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• W3128376688 abstract "A technique for accelerating global convergence of pseudo-transient continuation Newton methods is proposed based on residual smoothing. The technique is motivated by the effectiveness of local nonlinear smoothers at overcoming strong nonlinear transients. In the limit of a small pseudo-time step, the method reduces to a local nonlinear smoothing technique, while in the limit of large pseudo-time steps, an exact Newton method is recovered along with its quadratic convergence properties. The formulation relies on the addition of a smoothing source term while leaving the Newton Jacobian matrix unchanged, thus simplifying implementations for existing Newton solvers. The proposed technique is demonstrated on a steady-state and an implicit time-dependent computational fluid dynamics problem, showing significant gains in overall solution efficiency." @default.
• W3128376688 created "2021-02-15" @default.
• W3128376688 creator A5081585439 @default.
• W3128376688 date "2021-04-01" @default.
• W3128376688 modified "2023-09-23" @default.
• W3128376688 title "A residual smoothing strategy for accelerating Newton method continuation" @default.
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• W3128376688 doi "https://doi.org/10.1016/j.compfluid.2021.104859" @default.
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