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

Authors:
Walter Allegretto;Yanping Lin;Shuqing Ma
Affiliations:
-;-;Department of Mathematical Sciences, University of Alberta, Edmonton AB, Canada
Venue:
Scientific computing and applications
Year:
2001

Citing 3
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The fast adaptive composite grid (FAC) method for elliptic equation

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Some errors estimates for the box method

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Abstract

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 H1-norm error estimate is achieved.