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

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 F(x) = 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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1994
Accession Number
ADA278132

Entities

People

  • Monica L. Brodzik
  • Werner Rheinboldt

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computations
  • Coordinate Systems
  • Data Storage Systems
  • Database Management Systems
  • Databases
  • Differential Geometry
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Nonlinear Systems
  • Numerical Analysis
  • Relational Databases
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Graph Algorithms and Convex Optimization.