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The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials…

Optics · Physics 2016-06-29 Tom G. Mackay , Akhlesh Lakhtakia

In this paper, we introduce the Phantom Domain Finite Element Method (PDFEM), a novel computational approach tailored for the efficient analysis of heterogeneous and composite materials. Inspired by fictitious domain methods, this method…

Numerical Analysis · Mathematics 2025-05-06 Tianlong He , Philippe Karamian-Surville , Daniel Choï

While shape optimization using isogeometric shells exhibits appealing features by integrating design geometries and analysis models, challenges arise when addressing computer-aided design (CAD) geometries comprised of multiple non-uniform…

Optimization and Control · Mathematics 2024-07-02 Han Zhao , John T. Hwang , J. S. Chen

Image co-segmentation has attracted a lot of attentions in computer vision community. In this paper, we propose a new approach to image co-segmentation through introducing the dense connections into the decoder path of Siamese U-net and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Xi Liu , Xiabi Liu , Huiyu Li , Xiaopeng Gong

We apply a deep convolutional neural network segmentation model to enable novel automated microstructure segmentation applications for complex microstructures typically evaluated manually and subjectively. We explore two microstructure…

Computer Vision and Pattern Recognition · Computer Science 2019-02-06 Brian L. DeCost , Bo Lei , Toby Francis , Elizabeth A. Holm

Negative dimensional integration method (NDIM) seems to be a very promising technique for evaluating massless and/or massive Feynman diagrams. It is unique in the sense that the method gives solutions in different regions of external…

High Energy Physics - Theory · Physics 2016-08-15 A. T. Suzuki , A. G. M. Schmidt , R. Bentín

We propose a general algorithm for non-conforming adaptive mesh refinement (AMR) of unstructured meshes in high-order finite element codes. Our focus is on h-refinement with a fixed polynomial order. The algorithm handles triangular,…

Numerical Analysis · Computer Science 2019-05-13 Jakub Červený , Veselin Dobrev , Tzanio Kolev

This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Rebekka V. Woldseth , J. Andreas Bærentzen , Ole Sigmund

The task of predicting smooth and edge-consistent depth maps is notoriously difficult for single image depth estimation. This paper proposes a novel Bilateral Grid based 3D convolutional neural network, dubbed as 3DBG-UNet, that…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Mansi Sharma , Abheesht Sharma , Kadvekar Rohit Tushar , Avinash Panneer

This paper presents a Finite Element Model Updating framework for identifying heterogeneous material distributions in planar Bernoulli-Euler beams based on a rotation-free isogeometric formulation. The procedure follows two steps: First,…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Bartłomiej Łazorczyk , Roger A. Sauer

We present a stable mixed isogeometric finite element formulation for geometrically and materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation with extensible directors is used. The extensible directors…

Numerical Analysis · Mathematics 2024-11-21 Myung-Jin Choi , Sven Klinkel , Simon Klarmann , Roger A. Sauer

Spatially localized deformation components are very useful for shape analysis and synthesis in 3D geometry processing. Several methods have recently been developed, with an aim to extract intuitive and interpretable deformation components.…

Graphics · Computer Science 2017-12-19 Qingyang Tan , Lin Gao , Yu-Kun Lai , Jie Yang , Shihong Xia

Much of our understanding of complex structures is based on simplification: for example, metal-organic frameworks are often discussed in the context of "nodes" and "linkers", allowing for a qualitative comparison with simpler inorganic…

Materials Science · Physics 2020-05-21 Thomas C. Nicholas , Andrew L. Goodwin , Volker L. Deringer

Dynamic NURBS, also called D-NURBS, is a known dynamic version of the nonuniform rational B-spline (NURBS) which integrates free-form shape representation and a physically-based model in a unified framework. More recently, computer aided…

Computational Geometry · Computer Science 2013-03-28 Josildo Pereira da Silva , Antônio Lopes Apolinário Júnior , Gilson A. Giraldi

This work presents a Finite Element Model Updating inverse methodology for reconstructing heterogeneous material distributions based on an efficient isogeometric shell formulation. It uses nonlinear hyperelastic material models suitable for…

Computational Engineering, Finance, and Science · Computer Science 2022-01-21 Bartosz Borzeszkowski , Izabela Lubowiecka , Roger A. Sauer

Slender beams are often employed as constituents in engineering materials and structures. Prior experiments on lattices of slender beams have highlighted their complex failure response, where the interplay between buckling and fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-08-13 Sai Kubair Kota , Siddhant Kumar , Bianca Giovanardi

The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree…

Computational Physics · Physics 2018-12-26 Ryan Galagusz , Steve McFee

The prediction of the quasi-static response of industrial laminate structures requires to use fine descriptions of the material, especially when debonding is involved. Even when modeled at the mesoscale, the computation of these structures…

Computational Physics · Physics 2011-09-29 Pierre Kerfriden , Olivier Allix , Pierre Gosselet

Immersed boundary methods are high-order accurate computational tools used to model geometrically complex problems in computational mechanics. While traditional finite element methods require the construction of high-quality boundary-fitted…

Numerical Analysis · Mathematics 2024-02-27 Jennifer E. Fromm , Nils Wunsch , Kurt Maute , John A. Evans , Jiun-Shyan Chen

We propose an Isogeometric approach for smoothing on surfaces, namely estimating a function starting from noisy and discrete measurements. More precisely, we aim at estimating functions lying on a surface represented by NURBS, which are…

Methodology · Statistics 2016-04-20 Matthieu Wilhelm , Luca Dedè , Laura M. Sangalli , Pierre Wilhelm