Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model

Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model

The two-step backward differential formula (BDF2) with unequal time-steps is applied to construct an energy stable convex-splitting scheme for the Cahn–Hilliard model. We focus on the numerical influences of time-step variations by using the recent theoretical framework with the discrete orthogonal...

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Bibliographic Details
Main Authors: Ji, B. (Author), Liao, H.-L (Author), Wang, L. (Author), Zhang, Z. (Author)
Format: Article
Language:English
Published: Springer 2022
Subjects:
Adaptive BDF2 method
Cahn-Hilliard model
Cahn–Hilliard model
Convolution
Convolution kernel
Discrete convolution
Discrete convolution embedding inequality
Discrete energies
Discrete energy dissipation law
Embeddings
Energy dissipation
Error estimate
Error estimates
Errors
Mesh generation
Orthogonal convolution kernel
Orthogonal convolution kernels
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