Accession Number:

ADA278132

Title:

On the Computation of Simplical Approximations of Implicitly Defined Two-Dimensional Manifolds.

Descriptive Note:

Technical rept.,

Corporate Author:

PITTSBURGH UNIV PA DEPT OF MATHEMATICSAND STATISTICS

Personal Author(s):

• Brodzik, Monica L.
• Rheinboldt, Werner C.

Report Date:

1994-04-01

Pagination or Media Count:

17.0

Abstract:

A method is presented for the computation of a simplicial approximation covering a specified subset M sub o of a two-dimensional manifold M in Rn defined implicitly as the solution set of a nonlinear system Fx 0 of n-2 equations in n unknowns. The given subset M sub o is a subset of M is the intersection of M with some polyhedral domain in Rn and is assumed to be bounded and non-empty. The method represents an extension of a local simplicial approximation process developed earlier by the second author.

Descriptors:

• *CHAOS
• *COMPLEX VARIABLES
• ALGORITHMS
• REPRINTS
• COMPUTATIONS
• NONLINEAR SYSTEMS
• COMBINATORIAL ANALYSIS
• TRIANGULATION
• BIFURCATION(MATHEMATICS)
• APPROXIMATION(MATHEMATICS)
• MATHEMATICAL PROGRAMMING
• COMPUTER AIDED DESIGN
• TWO DIMENSIONAL

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE