Results 51 to 60 of about 18,509 (183)

Virtual element method for the Laplacian eigenvalue problem with Neumann boundary conditions

open access: yesAIMS Mathematics
The Laplacian eigenvalue problem is fundamental to the free vibration problem. The finite element method (FEM) is a classical numerical method for solving eigenvalue problems.
Junchi Ma, Lin Chen, Xinbo Cheng
doaj   +1 more source

A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh

open access: yesGeofluids, 2023
This paper presents a PSBFEM approach that integrates the quadtree mesh generation technique based on digital images for solving seepage problems. The quantitative representation of the distribution of geometrical information and material parameters is ...
Mingjiao Yan   +4 more
doaj   +1 more source

Arbitrary order 2D virtual elements for polygonal meshes: Part II, inelastic problem

open access: yes, 2017
The present paper is the second part of a twofold work, whose first part is reported in [3], concerning a newly developed Virtual Element Method (VEM) for 2D continuum problems. The first part of the work proposed a study for linear elastic problem.
Artioli, Edoardo   +3 more
core   +2 more sources

A locally conservative staggered least squares method on polygonal meshes

open access: yesMathematics in Engineering
In this paper, we propose a novel staggered least squares method for elliptic equations on polygonal meshes. Our new method can be flexibly applied to rough grids and allows hanging nodes, which is of particular interest in practical applications ...
Lina Zhao , Eun-Jae Park
doaj   +1 more source

Survey of polygonal surface simplification algorithms on GPU

open access: yesТруды Института системного программирования РАН, 2018
Rendering time depends on number of faces in polygonal mesh. Displaying large number of objects or objects with a lot of faces can result in performance degradation.
V. I. Gonakhchyan
doaj   +1 more source

A Virtual Element Method for a (2+1)-Dimensional Wave Equation with Time-Fractional Dissipation on Polygonal Meshes

open access: yesFractal and Fractional
We propose a novel space-time discretization method for a time-fractional dissipative wave equation. The approach employs a structured framework in which a fully discrete formulation is produced by combining virtual elements for spatial discretization ...
Zaffar Mehdi Dar   +2 more
doaj   +1 more source

Boolean operations between two colliding shells: a robust, exact, and simple method

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2017
Boolean operations are classic procedures in computer-aided design, and allow the creation of complex objects by combining simple objects. Although Boolean operations are trivial in implicit surface representations, they are problematic in polygonal ...
Jerome CHARTON   +2 more
doaj   +1 more source

A TWELVE NODED FINITE ELEMENT APPROXIMATION TO 2D-POISSON EQUATIONS WITH A DIRAC LINE SOURCE [PDF]

open access: yesJournal of Mechanics of Continua and Mathematical Sciences
This paper presents the finite element approach to solving the Poisson equation. Using Dirichlet boundary conditions in a two-dimensional polygonal region, the polygon to be discretized is made up of twelve-noded quadrilateral structured meshes.
A. M. Yogitha, K. T. Shivaram
doaj   +1 more source

Neural network denoising in polygon meshes

open access: yesМОДЕЛИРОВАНИЕ, ОПТИМИЗАЦИЯ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ, 2022
Одной из актуальных проблем при создании 3D-моделей с помощью систем трехмерного сканирования является автоматическая обработка для устранения шума, полученного из-за использования сканирующих устройств недостаточной точности. Целью исследования является разработка полностью автоматического подхода для решения задачи устранения в полигональных сетках ...
openaire   +1 more source

A comparison of hole-filling methods in 3D

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2016
This paper presents a review of the most relevant current techniques that deal with hole-filling in 3D models. Contrary to earlier reports, which approach mesh repairing in a sparse and global manner, the objective of this review is twofold.
Pérez Emiliano   +3 more
doaj   +1 more source

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