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Author:

Zeng, Yunhua (Zeng, Yunhua.) | Huang, Pengzhan (Huang, Pengzhan.) | He, Yinnian (He, Yinnian.)

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Abstract:

This paper proposes a deferred defect-correction method for the time-dependent nonlinear Darcy-Brinkman model based on the mixed finite element method. The presented method combines the deferred correction strategy with the defect-correction method and involves two steps. In the first step, a defect Darcy-Brinkman model is solved. Then in the second step, a correction Darcy-Brinkman model based on the deferred correction approach is solved. Moreover, unconditional stability and convergence of the presented method are deduced. Finally, several numerical examples are given to support the theoretical analysis.

Keyword:

Darcy-Brinkman model defect-correction method deferred correction method finite element method

Author Community:

  • [ 1 ] [Zeng, Yunhua]Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
  • [ 2 ] [Huang, Pengzhan]Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
  • [ 3 ] [He, Yinnian]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

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Source :

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

ISSN: 0044-2267

Year: 2021

Issue: 11

Volume: 101

1 . 1 0 3

JCR@2019

ESI Discipline: ENGINEERING;

ESI HC Threshold:30

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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