A finite difference non-overlapping non-matching domain decomposition algorithm for heat equation

Guangrui Li; Yanping Lin; Shijie Liu; Hongxing Rui; Xiaozhong Yang

A finite difference non-overlapping non-matching domain decomposition algorithm for heat equation

Guangrui Li
, Yanping Lin
, Shijie Liu
, Hongxing Rui
, Xiaozhong Yang

Chemical Engineering

College of Environmental Science & Forestry

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we provide a maximum norm analysis of a finite difference scheme defined on non-overlapping non-matching grid for the heat equation. We consider a domain decomposition which each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from adjacent subdomain. In this procedure, interface values between subdomain are found by an explicit finite difference formula. Once these values are calculated, interior values are determined by backward differencing in time. Maximum norm error estimates for these procedures are derived.

Original language	English
Pages (from-to)	603-618
Number of pages	16
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	13
Issue number	5
State	Published - Oct 2006

Cite this

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abstract = "In this paper, we provide a maximum norm analysis of a finite difference scheme defined on non-overlapping non-matching grid for the heat equation. We consider a domain decomposition which each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from adjacent subdomain. In this procedure, interface values between subdomain are found by an explicit finite difference formula. Once these values are calculated, interior values are determined by backward differencing in time. Maximum norm error estimates for these procedures are derived.",

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AU - Yang, Xiaozhong

PY - 2006/10

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AB - In this paper, we provide a maximum norm analysis of a finite difference scheme defined on non-overlapping non-matching grid for the heat equation. We consider a domain decomposition which each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from adjacent subdomain. In this procedure, interface values between subdomain are found by an explicit finite difference formula. Once these values are calculated, interior values are determined by backward differencing in time. Maximum norm error estimates for these procedures are derived.

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A finite difference non-overlapping non-matching domain decomposition algorithm for heat equation

Abstract

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