A nonconforming rectangular finite element pair for the Darcy-Stokes-Brinkman model

Ruisheng Qi; Xiaoyuan Yang

doi:10.1002/num.21718

A nonconforming rectangular finite element pair for the Darcy-Stokes-Brinkman model

Ruisheng Qi
, Xiaoyuan Yang^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this article, we consider the Darcy-Stokes-Brinkman model that can be sorted into three problems: the Darcy problems, the Stokes-Brinkman interface problems and the coupled Darcy-Stokes problems. We study finite element approximation of the model with Dirichlet boundary conditions and make a unified analysis of the three problems based on nonconforming element. Optimal error estimates for the fluid velocity and pressure are derived. Finally, we present some numerical examples verifying the theoretical predictions.

Original language	English
Pages (from-to)	510-530
Number of pages	21
Journal	Numerical Methods for Partial Differential Equations
Volume	29
Issue number	2
DOIs	https://doi.org/10.1002/num.21718
State	Published - Mar 2013

Keywords

coupled Darcy-Stokes equation
interface problem
noncomforming element

Access to Document

10.1002/num.21718

Cite this

@article{ba79f2bc77dd4db398c05aced2e75e65,

title = "A nonconforming rectangular finite element pair for the Darcy-Stokes-Brinkman model",

abstract = "In this article, we consider the Darcy-Stokes-Brinkman model that can be sorted into three problems: the Darcy problems, the Stokes-Brinkman interface problems and the coupled Darcy-Stokes problems. We study finite element approximation of the model with Dirichlet boundary conditions and make a unified analysis of the three problems based on nonconforming element. Optimal error estimates for the fluid velocity and pressure are derived. Finally, we present some numerical examples verifying the theoretical predictions.",

keywords = "coupled Darcy-Stokes equation, interface problem, noncomforming element",

author = "Ruisheng Qi and Xiaoyuan Yang",

year = "2013",

month = mar,

doi = "10.1002/num.21718",

language = "英语",

volume = "29",

pages = "510--530",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

publisher = "John Wiley \& Sons Inc.",

number = "2",

}

TY - JOUR

T1 - A nonconforming rectangular finite element pair for the Darcy-Stokes-Brinkman model

AU - Qi, Ruisheng

AU - Yang, Xiaoyuan

PY - 2013/3

Y1 - 2013/3

N2 - In this article, we consider the Darcy-Stokes-Brinkman model that can be sorted into three problems: the Darcy problems, the Stokes-Brinkman interface problems and the coupled Darcy-Stokes problems. We study finite element approximation of the model with Dirichlet boundary conditions and make a unified analysis of the three problems based on nonconforming element. Optimal error estimates for the fluid velocity and pressure are derived. Finally, we present some numerical examples verifying the theoretical predictions.

AB - In this article, we consider the Darcy-Stokes-Brinkman model that can be sorted into three problems: the Darcy problems, the Stokes-Brinkman interface problems and the coupled Darcy-Stokes problems. We study finite element approximation of the model with Dirichlet boundary conditions and make a unified analysis of the three problems based on nonconforming element. Optimal error estimates for the fluid velocity and pressure are derived. Finally, we present some numerical examples verifying the theoretical predictions.

KW - coupled Darcy-Stokes equation

KW - interface problem

KW - noncomforming element

UR - https://www.scopus.com/pages/publications/84872904443

U2 - 10.1002/num.21718

DO - 10.1002/num.21718

M3 - 文章

AN - SCOPUS:84872904443

SN - 0749-159X

VL - 29

SP - 510

EP - 530

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 2

ER -

A nonconforming rectangular finite element pair for the Darcy-Stokes-Brinkman model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this