A Reduced-Dimension Method of CN Finite Element Solution Coefficient Vectors for Solute Transport in Soil Flow

HOU Xiaoli; LUO Zhendong; FU Hui

doi:10.21656/1000-0887.450226

Volume 46 Issue 11

Nov. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(11): 1452-1463

HOU Xiaoli, LUO Zhendong, FU Hui. A Reduced-Dimension Method of CN Finite Element Solution Coefficient Vectors for Solute Transport in Soil Flow[J]. Applied Mathematics and Mechanics, 2025, 46(11): 1452-1463. doi: 10.21656/1000-0887.450226

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A Reduced-Dimension Method of CN Finite Element Solution Coefficient Vectors for Solute Transport in Soil Flow

doi: 10.21656/1000-0887.450226

HOU Xiaoli^1,2,
LUO Zhendong^{1
,
,},
FU Hui²

1. Academician Expert Workstation, Hunan Sany Polytechnic College, Changsha 410128, P.R.China;
2. College of Environment and Ecology, Hunan Agricultural University, Changsha 410128, P.R.China

Funds:

The National Science Foundation of China(11671106)

Received Date: 2024-08-06
Rev Recd Date: 2024-08-06

Available Online: 2025-12-05

Abstract

Abstract

The proper orthogonal decomposition (POD) method was used to establish a dimensionally reduced extrapolation simulation model of the Crank-Nicolson (CN) finite element solution coefficient vectors with few degrees of freedom and sufficiently high accuracy for solute transport in soil flow. The existence, stability, and errors of the solutions to the reduced-dimension extrapolation simulation model were analyzed. Some numerical tests were used to verify the validity of the reduced-dimension extrapolation model and the correctness of the theoretical results.

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References

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