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- W3174691931 abstract "We propose a numerical approximation method for the Cahn-Hilliard equations that incorporates continuous data assimilation in order to achieve long time accuracy. The method uses a C0 interior penalty spatial discretization of the fourth order Cahn-Hilliard equations, together with a backward Euler temporal discretization. We prove the method is long time stable and long time accurate, for arbitrarily inaccurate initial conditions, provided enough data measurements are incorporated into the simulation. Numerical experiments illustrate the effectiveness of the method on a benchmark test problem." @default.
- W3174691931 created "2021-07-05" @default.
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- W3174691931 date "2022-07-01" @default.
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- W3174691931 title "Continuous data assimilation and long-time accuracy in a C<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si17.svg><mml:msup><mml:mrow /><mml:mn>0</mml:mn></mml:msup></mml:math> interior penalty method for the Cahn-Hilliard equation" @default.
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- W3174691931 doi "https://doi.org/10.1016/j.amc.2022.127042" @default.
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