The paper presents an improved scalar auxiliary variable (iSAV) scheme for solving gradient flows that aims to ensure the stability of the original energy, in contrast to the original SAV scheme which only guarantees the stability of a modified energy.
The key ideas of the iSAV scheme are:
The authors rigorously establish the first-order error bound for the iSAV-BE scheme and discuss a possible second-order extension (iSAV-BDF).
The theoretical energy-stability and accuracy of the iSAV schemes are supported by numerical experiments, which also show improvements over the original SAV schemes.
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arxiv.org
Önemli Bilgiler Şuradan Elde Edildi
by RUi Chen,Tin... : arxiv.org 05-07-2024
https://arxiv.org/pdf/2405.03403.pdfDaha Derin Sorular