Accession Number : AD0675807

Title :   ON THE DISCRETIZATION ERROR OF THE DIRICHLET PROBLEM IN A PLANE REGION WITH CORNERS.

Descriptive Note : Technical note,

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s) : Laasonen,Pentti

Report Date : JUN 1967

Pagination or Media Count : 29

Abstract : Under the assumptions of piecewise analyticity of boundary and boundary values described in section 1, when the simple five point difference scheme for the discrete Laplacian and any of the three boundary value adjustments described in section 2 are applied, the discretization error of the Dirichlet problem solution can be estimated uniformly in the region by a given inequality.

Descriptors :   (*BOUNDARY VALUE PROBLEMS, POTENTIAL THEORY), DIFFERENCE EQUATIONS, ANALYTIC FUNCTIONS, PARTIAL DIFFERENTIAL EQUATIONS, INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE