The computation of simplicial approximations of implicitly defined two- dimensional manifolds

DOI10.1016/0898-1221(94)00175-8zbMath0815.65068OpenAlexW4213033603MaRDI QIDQ1339825

M. L. Brodzik, Werner C. Rheinboldt

Publication date: 30 June 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00175-8

zbMATH Keywords

algorithmnumerical experimentscomputer graphicssolution manifoldpredictor-corrector methodspath followingcontinuation methodstesselationsimplicial approximationstriangular approximationfrontal method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions ⋮ An algorithm for the numerical detection of simplex overlap ⋮ A new algorithm for two-dimensional numerical continuation ⋮ The computation of simplicial approximations of implicitly defined \(p\)-dimensional manifolds ⋮ MANPAK: A set of algorithms for computations on implicitly defined manifolds ⋮ Piecewise linear approximation of smooth compact fibers ⋮ MULTIPLE PARAMETER CONTINUATION: COMPUTING IMPLICITLY DEFINED k-MANIFOLDS

Uses Software

• PITCON

Cites Work

• On the monotone convergence of Newton's method
• On the computation of multi-dimensional solution manifolds of parametrized equations
• A new algorithm for two-dimensional numerical continuation
• A non-linear finite element analysis of shallow circular arches
• An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces
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