Accession Number : ADA304032

Title :   Numerical Solution of Discrete Boundary Value Problems.

Descriptive Note : Final rept. 31 Aug 95,

Corporate Author : MARYLAND UNIV COLLEGE PARK OFFICE OF RESEARCH ADMINISTRATION AND ADVANCEMENT

Personal Author(s) : Elman, Howard

PDF Url : ADA304032

Report Date : 07 DEC 1995

Pagination or Media Count : 5

Abstract : This project concerned numerical methods for solving linear systems of equations of the type arising from discretization of boundary value problems of elliptic and mixed type. The problems considered were of fundamental use in mathematical models used in structural analysis and fluid dynamics. The emphasis was on preconditioning techniques in which properties of the problem are used to construct approximations that are easy to compute with and that lead to rapid convergence of iterative methods. The approach included both analytic studies producing bounds on convergence rates and computational experiments that confirm and supplement the analysis. (AN)

Descriptors :   *MATHEMATICAL MODELS, *BOUNDARY VALUE PROBLEMS, ALGORITHMS, LINEAR SYSTEMS, FINITE ELEMENT ANALYSIS, STRUCTURAL ANALYSIS, PARALLEL PROCESSING, COMPUTATIONAL FLUID DYNAMICS, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), CONVERGENCE, NUMERICAL METHODS AND PROCEDURES, NAVIER STOKES EQUATIONS, ITERATIONS.

Subject Categories : Numerical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE