An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces

DOI10.1137/0724033zbMath0618.65006OpenAlexW2076143414MaRDI QIDQ4728090

S. Gnutzmann, Eugene L. Allgower

Publication date: 1987

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0724033

zbMATH Keywords

numerical examplessimplicial methodspiecewise linear approximationunderdetermined nonlinear systemstwo-dimensional surfacescomputer graphical output

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Algorithms for approximation of functions (65D15) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (16)

The computation of simplicial approximations of implicitly defined two- dimensional manifolds ⋮ Curvature computations on surfaces in $n$-space ⋮ Polygonization of implicit surfaces ⋮ The computation of simplicial approximations of implicitly defined \(p\)-dimensional manifolds ⋮ Global search perspectives for multiobjective optimization ⋮ Adaptive quadratures over volumes ⋮ Simplicial pivoting for mesh generation of implicitly defined surfaces ⋮ Volume integrals for boundary element methods ⋮ The approximation of closed manifolds by triangulated manifolds and the triangulation of closed manifolds ⋮ Piecewise linear approximation of smooth compact fibers ⋮ On parametric nonlinear programming ⋮ Estimates for piecewise linear approximations of implicitly defined manifolds ⋮ TRACING THE SOLUTION SURFACE WITH FOLDS OF A TWO-PARAMETER SYSTEM ⋮ Directional adaptive surface triangulation ⋮ MULTIPLE PARAMETER CONTINUATION: COMPUTING IMPLICITLY DEFINED k-MANIFOLDS ⋮ Piecewise linear methods for nonlinear equations and optimization

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