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- W4298052303 abstract "This paper develops an implicit family of sub-step integration algorithms, which firstly requires identical effective stiffness matrices and third-order consistency within each sub-step. Consequently, the trapezoidal rule has to be employed in the first sub-step and optimal spectral properties are naturally embedded into the proposed algorithms. The analysis reveals at the first time that the constructed s-sub-step implicit schemes with $ sle6 $ can reach $ s $th-order accuracy when achieving dissipation control and unconditional stability simultaneously. Hence, only four cost-optimal high-order implicit algorithms corresponding to three, four, five, and six sub-steps are developed. Unlike some published high-order algorithms, four novel methods do not suffer from order reduction for solving forced vibrations. Moreover, the novel methods overcome the defect that the authors' previous high-order algorithms require an additional solution to obtain accurate accelerations. Linear and nonlinear examples are solved to confirm the numerical performance and superiority of four novel high-order algorithms." @default.
- W4298052303 created "2022-10-01" @default.
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- W4298052303 date "2022-09-28" @default.
- W4298052303 modified "2023-10-18" @default.
- W4298052303 title "High-order accurate multi-sub-step implicit integration algorithms with dissipation control for second-order hyperbolic problems" @default.
- W4298052303 doi "https://doi.org/10.48550/arxiv.2209.13820" @default.
- W4298052303 hasPublicationYear "2022" @default.
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