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Three-step Predictor-Corrector Finite Element Schemes for Consolidation Equation.
- Source :
-
Mathematical Problems in Engineering . 4/28/2020, p1-14. 14p. - Publication Year :
- 2020
-
Abstract
- An accurate, stable, and efficient three-step predictor-corrector time integration method is considered, for the first time, to obtain numerical solution for the one-dimensional consolidation equation within a finite and spectral element framework. Theoretical order of accuracy and stability conditions are provided. The three-step predictor-corrector time integration method is third-order accurate and shows a larger stability region than the forward Euler method when applied to the one-dimensional consolidation equation. Furthermore, numerical results are in agreement with analytical solutions previously derived by the authors. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EULER method
*EQUATIONS
*ANALYTICAL solutions
*EULER equations
Subjects
Details
- Language :
- English
- ISSN :
- 1024123X
- Database :
- Academic Search Index
- Journal :
- Mathematical Problems in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 142945826
- Full Text :
- https://doi.org/10.1155/2020/2873869