Approximating a solution set of nonlinear inequalities

Y Evtushenko, M Posypkin, L Rybak… - Journal of Global …, 2018 - Springer
In this paper we propose a method for solving systems of nonlinear inequalities with
predefined accuracy based on nonuniform covering concept formerly adopted for global …

Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics

D Lera, M Posypkin, YD Sergeyev - Applied Mathematics and Computation, 2021 - Elsevier
The problem of approximating and visualizing the solution set of systems of nonlinear
inequalities can be frequently met in practice, in particular, when it is required to find the …

Determining solution set of nonlinear inequalities using space-filling curves for finding working spaces of planar robots

D Lera, MC Nasso, M Posypkin… - Journal of Global …, 2024 - Springer
In this paper, the problem of approximating and visualizing the solution set of systems of
nonlinear inequalities is considered. It is supposed that left-hand parts of the inequalities …

A two-step surface reconstruction method using signed marching cubes

J Zhang, D Zhong, L Wang - Applied Sciences, 2022 - mdpi.com
In this paper, we explore a new approach, a two-step surface reconstruction method to
extract the target isosurface from a given implicit function efficiently. Our main contribution is …

Finding sets of solutions to systems of nonlinear inequalities

YG Evtushenko, MA Posypkin, LA Rybak… - Computational …, 2017 - Springer
The problem of approximating the set of all solutions to a system of nonlinear inequalities is
studied. A method based on the concept of nonuniform coverings is proposed. It allows one …

Отыскание множеств решений систем нелинейных неравенств

ЮГ Евтушенко, МА Посыпкин, ЛА Рыбак… - Журнал …, 2017 - mathnet.ru
Рассматривается задача аппроксимации множества всех решений системы
нелинейных неравенств. Предложен метод, основанный на концепции …

[PDF][PDF] Алгоритм гарантированной генерации тетраэдральной сетки проекционным методом

МВ Якобовский, СК Григорьев - Препринты Института прикладной …, 2018 - keldysh.ru
Рассматривается алгоритм построения тетраэдральной сетки. Принципиальное
отличие алгоритма от других алгоритмов тетраэдризации состоит в …

Построение гибридных расчетных сеток Вороного. Алгоритмы и нерешенные проблемы

ВА Гаранжа, ЛН Кудрявцева… - … и математической физики, 2019 - elibrary.ru
Рассмотрена задача построения расчетной сетки Вороного, в которой строится
объединение ячеек Вороного, аппроксимирующее область с кусочно-гладкой границей …

Hybrid Voronoi mesh generation: algorithms and unsolved problems

VA Garanzha, LN Kudryavtseva… - … and Mathematical Physics, 2019 - Springer
We consider problem of constructing Voronoi mesh where the union of Voronoi cells
approximates the computational domain with a piecewise smooth boundary. In the 2d case …

Structured orthogonal near-boundary Voronoi mesh layers for planar domains

V Garanzha, L Kudryavtseva, V Tsvetkova - Numerical Geometry, Grid …, 2019 - Springer
We consider the problem of constructing a purely Voronoi mesh where the union of uncut
Voronoi cells approximates the planar computational domain with piecewise-smooth …