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

Mina Torabi, Manuel Pastor and Miguel Martín Stickle

Mathematical Problems in Engineering, 2020, vol. 2020, 1-14

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2873869

DOI: 10.1155/2020/2873869

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