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

Walter Allegretto; Yanping Lin; M. A. Shuqing

doi:10.3934/dcdsb.2001.1.71

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

Walter Allegretto
, Yanping Lin
, M. A. Shuqing

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

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'-norm are attained. Key words and phrases. Box methods, non-local, thermistor and variational inequality.

Original language	English
Pages (from-to)	71-88
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	1
Issue number	1
DOIs	https://doi.org/10.3934/dcdsb.2001.1.71
Publication status	Published - 1 Jan 2001
Externally published	Yes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdsb.2001.1.71

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title = "On the box method for a non-local parabolic variational inequality",

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'-norm are attained. Key words and phrases. Box methods, non-local, thermistor and variational inequality.",

author = "Walter Allegretto and Yanping Lin and Shuqing, \{M. A.\}",

year = "2001",

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AU - Lin, Yanping

AU - Shuqing, M. A.

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N2 - 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.

AB - 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.

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DO - 10.3934/dcdsb.2001.1.71

M3 - Journal article

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JO - Discrete and Continuous Dynamical Systems - Series B

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IS - 1

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

Abstract

ASJC Scopus subject areas

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