A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation
| Autor: | Yanren Hou, Shuaichao Pei, Qi Li |
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| Rok vydání: | 2021 |
| Předmět: |
Order (ring theory)
Invariant (physics) Computational Mathematics symbols.namesake Computational Theory and Mathematics Modeling and Simulation Lagrange multiplier Scheme (mathematics) symbols Applied mathematics Special case Conservation of mass Energy (signal processing) Linear equation Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 103:104-126 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2021.10.029 |
| Popis: | We carry out error estimates for a linear, second-order, unconditionally energy stable, semi-discrete time stepping scheme, which is based on the Lagrange Multiplier approach and could also be viewed as a special case of the invariant energy quadratization approach, for the modified phase field crystal equation. At each time step, the proposed scheme only requires solving several linear equations. Rigorous proofs are presented to demonstrate the unique solvability, mass conservation, and unconditional energy stability of the scheme. Various numerical experiments in 2D and 3D are performed to validate the accuracy, unconditional energy stability and mass conservation of the proposed numerical strategy. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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