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An extension of the restricted Delaunay-refinement algorithm for surface mesh generation is described, where a new point-placement scheme is introduced to improve element quality in the presence of mesh size constraints. Specifically, it is…

Computational Geometry · Computer Science 2016-06-28 Darren Engwirda , David Ivers

The performance of organic optoelectronic devices is critically dependent on how molecules orient within organic thin films. Yet, standard characterization techniques only reveal the first and second moments of the molecular orientation…

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

The generation of high-quality staggered unstructured grids is considered, leading to the development of a new optimisation-based strategy designed to construct weighted `Regular-Power' tessellations appropriate for co-volume type numerical…

Computational Geometry · Computer Science 2018-09-26 Darren Engwirda

Structural variants compose the majority of human genetic variation, but are difficult to assess using current genomic sequencing technologies. Optical mapping technologies, which measure the size of chromosomal fragments between labeled…

Quantitative Methods · Quantitative Biology 2019-10-10 Weiwei Li , Jan Hannig , Corbin Jones

The matrix formation associated to high-order discretizations is known to be numerically demanding. Based on the existing procedure of interpolation and lookup, we design a multiscale assembly procedure to reduce the exorbitant assembly…

Numerical Analysis · Mathematics 2021-07-21 Thibaut Hirschler , Pablo Antolin , Annalisa Buffa

As modern electronic devices are increasingly miniaturized and integrated, their performance relies more heavily on effective thermal management. Two-phase cooling methods enhanced by porous surfaces, which capitalize on thin-film…

Machine Learning · Computer Science 2023-10-31 Jonathan Tammer Eweis-LaBolle , Chuanning Zhao , Yoonjin Won , Ramin Bostanabad

The influence of the microstructure of a polycrystalline material on its macroscopic deformation response is still one of the major problems in materials engineering. For materials characterized by elastic-plastic deformation responses,…

Materials Science · Physics 2022-02-07 Jan N. Fuhg , Lloyd van Wees , Mark Obstalecki , Paul Shade , Nikolaos Bouklas , Matthew Kasemer

A multiobjective optimization method is proposed for obtaining the optimal plane trusses simultaneously for various aspect ratios of the initial ground structure as a set of Pareto optimal solutions generated through a single optimization…

Optimization and Control · Mathematics 2023-08-01 Makoto Ohsaki , Saku Aoyagi , Kazuki Hayashi

This article provides numerical evidence that under volume constraint the ball is the set which maximizes the perimeter of the least-perimeter partition into cells with prescribed areas. We introduce a numerical maximization algorithm which…

Optimization and Control · Mathematics 2021-06-08 Beniamin Bogosel , Edouard Oudet

In the domain of medical imaging, many supervised learning based methods for segmentation face several challenges such as high variability in annotations from multiple experts, paucity of labelled data and class imbalanced datasets. These…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Soumick Chatterjee , Franziska Gaidzik , Alessandro Sciarra , Hendrik Mattern , Gábor Janiga , Oliver Speck , Andreas Nürnberger , Sahani Pathiraja

Conjugated organic molecules play a central role in a wide range of optoelectronic devices, including organic light-emitting diodes, organic field-effect transistors, and organic solar cells. A major bottleneck in the computational design…

Purpose: The purpose of this work is to investigate the hypothesis that uniform sampling measurements that are endowed with antipodal symmetry play an important role when the raw data and image data are related through the Fourier…

Medical Physics · Physics 2014-01-15 Cheng Guan Koay

In this paper we present a comprehensive study on the multi-objective optimization of two-dimensional porous phononic crystals (PnCs) in both square and triangular lattices with the reduced topology symmetry of the unit-cell. The fast…

Materials Science · Physics 2018-11-09 Hao-Wen Dong , Yue-Sheng Wang , Yan-Feng Wang , Chuanzeng Zhang

With the emergence of new photonic and plasmonic materials with optimized properties as well as advanced nanofabrication techniques, nanophotonic devices are now capable of providing solutions to global challenges in energy conversion,…

Two-scale topology optimization, combined with the design of microstructure families with a broad range of effective material parameters, is increasingly widely used in many fabrication applications to achieve a target deformation behavior…

Graphics · Computer Science 2024-07-25 Davi Colli Tozoni , Zizhou Huang , Daniele Panozzo , Denis Zorin

A simple model for the solidification of globular grains in metallic alloys is presented. Based on the Voronoi diagram of the nuclei centers, it accounts for the curvature of the grains near triple junctions. The predictions of this model…

Materials Science · Physics 2007-11-28 Stéphane Vernède , Michel Rappaz

The present paper studies mathematical models for representing, imaging, and analyzing polycrystalline materials. We introduce various techniques for converting grain maps into diagram or tessellation representations that rely on…

Numerical Analysis · Mathematics 2022-05-16 Andreas Alpers , Maximilian Fiedler , Peter Gritzmann , Fabian Klemm

Establishing structure-property linkages in polycrystalline materials requires representative two- (2D) and three- (3D) dimensional microstructural inputs for full-field simulations. A core objective of microstructure characterization and…

Elasticity is one of the most fundamental mechanical properties of solid. In high-throughput design of advanced materials, there is an imperative demand for the capability to quickly calculate and screen a massive pool of candidate…

Materials Science · Physics 2022-10-05 Hao Wang , Y. C. Gan , Hua Y. Geng , Xiang-Rong Chen