On the box method for a non-local parabolic variational inequality
Walter Allegretto - Department of Mathematical Sciences, University of Alberta, Edmonton A B, Canada T6G 2G1, Canada (email)
Abstract: In this paper we study a box scheme (or finite volume element method) for a non-local nonlinear parabolic variational inequality arising in the study of thermistor problems. Under some assumptions on the data and regularity of the solution, optimal error estimates in the $H^1$-norm are attained.
Keywords: Box methods, non-local, thermistor and variational inequality.
Received: September 2000; Revised: November 2000; Available Online: January 2001.
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