Optimal Error Estimates of a Second-order Fully Decoupled Finite Element Method for the Nonstationary Generalized Boussinesq Model
Abstract
In This Paper, We Develop and Analyze a Fully Decoupled Finite Element Method for the Non-Stationary Generalized Boussinesq Equations, Where the Viscosity and Thermal Conductivity Depend on the Temperature. based on Some Subtle Implicit-Explicit Treatments for the Nonlinear Coupling Terms, We Develop a Second-Order in Time, Fully Decoupled, Linear and Unconditionally Energy Stable Scheme for Solving This System. the Unconditional Stability of the Fully Discrete Scheme with Finite Element Approximation is Proved. the Optimal L2-Error Estimates Are Analyzed for Temperature-Dependent Thermal Conductivity System. Numerical Experiments Are Presented to Illustrate the Convergence, Accuracy and Applicability of the Proposed Numerical Scheme.
Recommended Citation
Q. Ding et al., "Optimal Error Estimates of a Second-order Fully Decoupled Finite Element Method for the Nonstationary Generalized Boussinesq Model," Journal of Computational and Applied Mathematics, vol. 450, article no. 116001, Elsevier, Nov 2024.
The definitive version is available at https://doi.org/10.1016/j.cam.2024.116001
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
0377-0427
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Nov 2024
Comments
National Natural Science Foundation of China, Grant 12201353