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'-norm are attained. Key words and phrases. Box methods, non-local, thermistor and variational inequality.
|Number of pages||18|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 1 Jan 2001|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics