
Accession Number : AD0758693
Title : A Conjugate Gradient Approach to Nonlinear Elliptic Boundary Value Problems in Irregular Regions,
Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS
Personal Author(s) : Bartels,Richard ; Daniel,James W.
Report Date : 01 MAR 1973
Pagination or Media Count : 19
Abstract : A version of the conjugate gradient method is proposed for solving discrete approximations to nonlinear elliptic boundary value problems over irregular regions. The convergence rate is usually independent of the discretization, but each step requires the solution of a Poisson equation on the region; thus a fast Poisson solver yields a fast method for the general problem. Details are given for the standard 5point approximation to the differential equation, with the Poisson equations being solved by the Buneman algorithm after some preprocessing; numerical examples are given. (Author)
Descriptors : (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS), INTEGRALS, ITERATIONS, ALGORITHMS, PARTIAL DIFFERENTIAL EQUATIONS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE