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.
|Number of pages||16|
|Journal||Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms|
|Publication status||Published - 1 Oct 2006|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics