Mixed Element Method for Two-Dimensional Darcy-Forchheimer Model

被引：96
|
作者：
Pan, Hao [1 ]
Rui, Hongxing [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2012年 / 52卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Darcy-Forchheimer's model; Mixed element; Monotone operator; Numerical analysis; FINITE-ELEMENTS; THEORETICAL DERIVATION;
D O I：
10.1007/s10915-011-9558-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mixed element method is introduced to solve Darcy-Forchheimer equation, in which the velocity and pressure are approximated by mixed element such as Raviart-Thomas, Brezzi-Douglas-Marini element. We establish the existence and uniqueness of the problem. Error estimates are presented based on the monotonicity owned by the Forchheimer term. An iterative scheme is given for practical computation. The numerical experiments using the lowest order Raviart-Thomas (RT (0)) mixed element show that the convergence rates of our method are in agree with the theoretical analysis.
引用
收藏
页码：563 / 587
页数：25
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