A numerical approximation to the solution of a nonlocal obstacle thermistor problem

被引：0
|
作者：
Allegretto, W [1 ]
Lin, YP [1 ]
Ma, SQ [1 ]
机构：
[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
来源：
SCIENTIFIC COMPUTING AND APPLICATIONS | 2001年 / 7卷
关键词：
box method; thermistor; obstacle problem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct a box scheme for a nonlocal obstacle problem which arises from the thermistor microsensor model. The box method is characterized by a trial space consisting of continuous piecewise linear polynomials on a quasiuniform triangulation and by a test space consisting of piecewise constants on a circumcenter dual box mesh. The existence and uniqueness of the numerical system are obtained and an optimal H-1-norm error estimate is achieved.
引用
收藏
页码：229 / 235
页数：7
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