A Computational Study of Stabilized, Low-order C0 Finite Element Approximations of Darcy Equations

被引：0
作者：
Pavel B. Bochev
Clark R. Dohrmann
机构：
[1] Sandia National Laboratories,Computational Mathematics and Algorithms
[2] Sandia National Laboratories,Structural Dynamics Research Department
来源：
Computational Mechanics | 2006年 / 38卷
关键词：
Darcy flow; Mixed Galerkin methods; Stabilization; Projection; Least-squares methods;
D O I：
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中图分类号：
学科分类号：
摘要：
We consider finite element methods for the Darcy equations that are designed to work with standard, low order C0 finite element spaces. Such spaces remain a popular choice in the engineering practice because they offer the convenience of simple and uniform data structures and reasonable accuracy. A consistently stabilized method [20] and a least-squares formulation [18] are compared with two new stabilized methods. The first one is an extension of a recently proposed polynomial pressure projection stabilization of the Stokes equations [5,13]. The second one is a weighted average of a mixed and a Galerkin principles for the Darcy problem, and can be viewed as a consistent version of the classical penalty stabilization for the Stokes equations [8]. Our main conclusion is that polynomial pressure projection stabilization is a viable stabilization choice for low order C0 approximations of the Darcy problem.
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页码：323 / 333
页数：10
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