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Article Contents

# On the box method for a non-local parabolic variational inequality

• 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.
Mathematics Subject Classification: 76S05.

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