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Advances in imaging methods such as electron microscopy, tomography and other modalities are enabling high-resolution reconstructions of cellular and organelle geometries. Such advances pave the way for using these geometries for…

Domain discretization is considered a dominant part of solution procedures for solving partial differential equations. It is widely accepted that mesh generation is among the most cumbersome parts of the FEM analysis and often requires…

Numerical Analysis · Mathematics 2024-02-08 Urban Duh , Gregor Kosec , Jure Slak

The efficient generation of meshes is an important component in the numerical solution of problems in physics and engineering. Of interest are situations where global mesh quality and a tight coupling to the solution of the physical partial…

Numerical Analysis · Mathematics 2015-04-02 Alexander Bihlo , Ronald D. Haynes , Emily J. Walsh

We use a time-relaxed linear grid generator of Winslow type to propose a new deterministic-stochastic domain decomposition approach to the generation of adaptive moving meshes. The method uses the probabilistic form of the exact solution of…

Numerical Analysis · Mathematics 2014-02-04 Alexander Bihlo , Ronald D. Haynes

Two-dimensional array-based datasets are pervasive in a variety of domains. Current approaches for generative modeling have typically been limited to conventional image datasets and performed in the pixel domain which do not explicitly…

Machine Learning · Computer Science 2021-07-12 Hoda Shajari , Jaemoon Lee , Sanjay Ranka , Anand Rangarajan

Mapping a shape to some parametric domain is a fundamental tool in graphics and scientific computing. In practice, a map between two shapes is commonly represented by two meshes with same connectivity and different embedding. The standard…

Computational Geometry · Computer Science 2020-12-16 Marco Livesu

In this paper, a method is proposed to solve the problem of monotone smoothing splines using general linear systems. This problem, also called monotone control theoretic splines, has been solved only when the curve generator is modeled by…

Systems and Control · Computer Science 2013-08-08 Masaaki Nagahara , Clyde F. Martin

In this paper we consider Schwarz domain decomposition applied to the generation of 2D spatial meshes by a local equidistribution principle. We briefly review the derivation of the local equidistribution principle and the appropriate choice…

Numerical Analysis · Mathematics 2013-11-15 Ronald D. Haynes , Alexander J. M. Howse

A flexible model is developed for multivariate generalized spherical distributions, i.e. ones with level sets that are star shaped. To work in dimension above 2 requires tools from computational geometry and multivariate numerical…

Computation · Statistics 2015-10-26 John P Nolan

The presented article contains a 2D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes with a prescribed size h of elements. These finite element meshes can serve as standard discrete…

Numerical Analysis · Mathematics 2024-10-21 Ilona Dominika Kosinska

The efficient generation of meshes is an important step in the numerical solution of various problems in physics and engineering. We are interested in situations where global mesh quality and tight coupling to the physical solution is…

Numerical Analysis · Mathematics 2014-06-12 Alexander Bihlo , Ronald D. Haynes

multisphere is an open-source Python package for generating multi-sphere representations of complex particles for use in DEM simulations. It reconstructs triangulated surface meshes and voxelized volumes as sets of intersecting spheres and…

Soft Condensed Matter · Physics 2026-04-23 Felix Buchele , Patric Müller , Thorsten Pöschel

This paper presents a novel spline-based meshing technique that allows for usage of boundary-conforming meshes for unsteady flow and temperature simulations in co-rotating twin-screw extruders. Spline-based descriptions of arbitrary screw…

Numerical Analysis · Mathematics 2020-02-19 Jochen Hinz , Jan Helmig , Matthias Möller , Stefanie Elgeti

This paper presents a fast an robust mesh generation procedure that is able to generate meshes of the earth system (ocean and continent) in matters of seconds. Our algorithm takes as input a standard shape-file i.e. geospatial vector data…

Computational Geometry · Computer Science 2016-07-08 Jean-François Remacle , Jonathan Lambrechts

Recent work has shown that two-dimensional non-linear $\sigma$-models on group manifolds with Poisson-Lie symmetry can be understood within generalised geometry as exemplars of generalised parallelisable spaces. Here we extend this idea to…

High Energy Physics - Theory · Physics 2019-12-24 Saskia Demulder , Falk Hassler , Giacomo Piccinini , Daniel C. Thompson

Mesh generation remains a key technology in many areas where numerical simulations are required. As numerical algorithms become more efficient and computers become more powerful, the percentage of time devoted to mesh generation becomes…

Graphics · Computer Science 2022-10-19 Xinhai Chen , Jie Liu , Junjun Yan , Zhichao Wang , Chunye Gong

This work describes a concise algorithm for the generation of triangular meshes with the help of standard adaptive finite element methods. We demonstrate that a generic adaptive finite element solver can be repurposed into a triangular mesh…

Numerical Analysis · Mathematics 2021-02-02 Tom Gustafsson

We describe an adaptive version of a method for generating valid naturally curved quadrilateral meshes. The method uses a guiding field, derived from the concept of a cross field, to create block decompositions of multiply connected two…

Numerical Analysis · Mathematics 2020-02-18 Julian Marcon , David A. Kopriva , Spencer J. Sherwin , Joaquim Peiró

In this paper, we describe a robust algorithm for 2-Manifold generation of various kinds of ShapeNet Models. The input of our pipeline is a triangle mesh, with a set of vertices and triangular faces. The output of our pipeline is a…

Computational Geometry · Computer Science 2018-02-07 Jingwei Huang , Hao Su , Leonidas Guibas

We propose a two dimensional (2D) adaptive nodes technique for irregular regions. The method is based on equi-distribution principal and dimension reduction. The mesh generation is carried out by first producing some adaptive nodes in a…

Numerical Analysis · Mathematics 2010-05-18 Kamal Shanazari , Mohammad Hosami
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