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- W4379194013 abstract "This paper uses the evolving surface finite element method to solve the Swift-Hohenberg model on the given velocity surface. The linear basis function satisfies the transport property, so that the velocity no longer exists explicitly in the variational form. In addition, the energy behind the model is no longer strictly decreasing under the effect of arbitrary surface velocity. Therefore, the design of the numerical algorithm in this paper is mainly devoted to solving the computational instability caused by nonlinear terms and realizing efficient numerical calculation The first- and second-order stabilized semi-implicit schemes are utilized to achieve this goal in time discretization. Related stability analyses are given. Numerical examples are submitted to verify the effectiveness of our methods, and numerically investigate behaviors of the Swift-Hohenberg model on evolving surfaces." @default.
- W4379194013 created "2023-06-04" @default.
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- W4379194013 date "2023-10-01" @default.
- W4379194013 modified "2023-10-01" @default.
- W4379194013 title "Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces" @default.
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- W4379194013 doi "https://doi.org/10.1016/j.cnsns.2023.107335" @default.
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