Three-step Predictor-Corrector Finite Element Schemes for Consolidation Equation

被引：0
|
作者：
Torabi, Mina [1 ]
Pastor, Manuel [2 ]
Stickle, Miguel Martin [2 ]
机构：
[1] Yazd Univ, Dept Math, Fac Sci, POB 89195-741, Yazd, Iran
[2] Univ Politecn Madrid, ETSI Caminos, Prof Aranguren S-N, Madrid 28040, Spain
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷
关键词：
GALERKIN METHOD; CLAY;
D O I：
10.1155/2020/2873869
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：14
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