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STABILIZED INVARIANT ENERGY QUADRATIZATION (S-IEQ) METHOD FOR THE MOLECULAR BEAM EPITAXIAL MODEL WITHOUT SLOPE SECTION.
- Source :
-
International Journal of Numerical Analysis & Modeling . 2021, Vol. 18 Issue 5, p642-655. 14p. - Publication Year :
- 2021
-
Abstract
- The design of numerical approaches for the molecular beam epitaxy models has always been a hot issue in numerical analysis, in which one of the main challenges for algorithm design is how to establish a high-order time-accurate numerical method with unconditional energy stability. The numerical method developed in this paper is based on the "stabilized-Invariant Energy Quadratization" (S-IEQ) approach. Its novelty is that by adding a very simple linear stabilization term, the difficulty that the original energy potential for the no-slope selection case is not bounded from below can be easily overcome. Then by using the standard format of the IEQ method, we can easily obtain a linear, unconditionally energy stable, and second-order time accurate scheme for solving the system. We further implement various numerical examples to demonstrate the stability and accuracy of the proposed scheme. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMERICAL analysis
*ALGORITHMS
*MOLECULAR beams
*POTENTIAL energy
Subjects
Details
- Language :
- English
- ISSN :
- 17055105
- Volume :
- 18
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Numerical Analysis & Modeling
- Publication Type :
- Academic Journal
- Accession number :
- 151942716