The immersed finite volume element methods for the elliptic interface problems

被引：94
|
作者：
Ewing, RE [1 ]
Li, ZL
Lin, T
Lin, YP
机构：
[1] Texas A&M Univ, Inst Sci Computat, College Stn, TX 77843 USA
[2] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[3] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
[4] Univ Alberta, Dept Math, Edmonton, AB T6G 2G1, Canada
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 1999年 / 50卷 / 1-4期
关键词：
finite volume; convergence; error estimate; interface problems;
D O I：
10.1016/S0378-4754(99)00061-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
An immersed finite element space is used to solve the elliptic interface problems by a finite volume element method. Special nodal basis functions are introduced in a triangle whose interior intersects with the interface so that the jump conditions across the interface are satisfied. Optimal error estimates in an energy norm are obtained. Numerical results are supplied to justify the theoretical work and to reveal some interesting features of the method. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.
引用
收藏
页码：63 / 76
页数：14
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