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Related papers: Surface roughness in finite element meshes

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We describe a simple geometric transformation of triangles which leads to an efficient and effective algorithm to smooth triangle and tetrahedral meshes. Our focus lies on the convergence properties of this algorithm: we prove the…

Numerical Analysis · Mathematics 2014-11-18 Dimitris Vartziotis , Doris Bohnet

We propose a novel method to generate a small set of ruled surfaces that do not collide with the input shape for linear hot-wire rough machining. Central to our technique is a new observation: the ruled surfaces constructed by vertical…

Computational Geometry · Computer Science 2025-09-03 Zheng Zhang , Kang Wu , Yi-Fei Li , Xu Liu , Xiang Wang , Ligang Liu , Xiao-Ming Fu

This Letter introduces an approach for precisely designing surface friction properties using a conditional generative machine learning model, specifically a diffusion denoising probabilistic model (DDPM). We created a dataset of synthetic…

Computational Physics · Physics 2024-01-11 Even Marius Nordhagen , Henrik Andersen Sveinsson , Anders Malthe-Sørenssen

In this paper we promote a method for the evaluation of a surface topography which we call the correlogram correlation method. Employing a theoretical analysis as well as numerical simulations the method is proven to be the most accurate…

Instrumentation and Detectors · Physics 2017-10-20 Ilia Kiselev , Egor Kiselev , Michael Drexel , Michael Hauptmannl

The creation of a volumetric mesh representing the interior of an input polygonal mesh is a common requirement in graphics and computational mechanics applications. Most mesh creation techniques assume that the input surface is not…

This paper investigates a computational strategy for studying the interactions between multiple through-the-width delaminations and global or local buckling in composite laminates taking into account possible contact between the delaminated…

Numerical Analysis · Mathematics 2012-09-03 Karin Saavedra , Olivier Allix , Pierre Gosselet

This paper proposes a novel discretization workflow for contact problems in which the discretization of the contact interface is decoupled from that of the bulk domain. This separation enables independently tailored meshes for the contact…

Computational Engineering, Finance, and Science · Computer Science 2026-03-03 Eugenia Gabriela Loera Villeda , Ivo Steinbrecher , Alexander Popp

We introduce an approach for calculating non-universal properties of rough surfaces. The technique uses concepts of distinct surface-configuration classes, defined by the surface growth rule. The key idea is a mapping between discrete…

Statistical Mechanics · Physics 2007-05-23 A. Kolakowska , M. A. Novotny

We propose conformal generative modeling, a framework for generative modeling on 2D surfaces approximated by discrete triangle meshes. Our approach leverages advances in discrete conformal geometry to develop a map from a source triangle…

Machine Learning · Computer Science 2023-03-21 Victor Dorobantu , Charlotte Borcherds , Yisong Yue

Freestanding oxide films offer significant potential for integrating exotic quantum functionalities with semiconductor technologies. However, their performance is critically limited by surface roughness and interfacial imperfection caused…

Materials Science · Physics 2025-11-04 Huaicheng Yuan , Yu-Chen Liu , Li-Shu Wang , Zehao Dong , Jan-Chi Yang , Zhen Chen

Surface reconstruction from magnetic resonance (MR) imaging data is indispensable in medical image analysis and clinical research. A reliable and effective reconstruction tool should: be fast in prediction of accurate well localised and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-22 Katarína Tóthová , Sarah Parisot , Matthew Lee , Esther Puyol-Antón , Andrew King , Marc Pollefeys , Ender Konukoglu

Recent advances in 3D deep learning have shown that it is possible to train highly effective deep models for 3D shape generation, directly from 2D images. This is particularly interesting since the availability of 3D models is still limited…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Shichen Liu , Shunsuke Saito , Weikai Chen , Hao Li

Significant developments in the field of additive manufacturing (AM) allowed the fabrication of complex microarchitectured components with varying porosity across different scales. However, due to the high complexity of this process, the…

Computational Engineering, Finance, and Science · Computer Science 2020-12-16 N. Korshunova , J. Jomo , G. Lékó , D. Reznik , P. Balázs , S. Kollmannsberger

The prediction of aircraft icing is conventionally performed using multishot simulation frameworks that fail to predict the progressive roughening of the ice surface. To understand roughness formation, we investigate droplet impingement on…

Fluid Dynamics · Physics 2026-05-08 Federico Zabaleta , Brett Bornhoft , Suhas S. Jain , Sanjeeb T. Bose , Parviz Moin

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the…

Optimization and Control · Mathematics 2019-01-30 Grigor Nika , Andrei Constantinescu

We study the influence of surface roughness on the adhesion of elastic solids. Most real surfaces have roughness on many different length scales, and this fact is taken into account in our analysis. We consider in detail the case when the…

Materials Science · Physics 2009-11-07 B. N. J. Persson , E. Tosatti

We present a method for improving the efficiency and user experience of freeform illumination design with machine learning. By utilizing orthogonal polynomials to interface with artificial neural networks, we are able to generalize…

Machine Learning · Computer Science 2019-03-28 Caleb Gannon , Rongguang Liang

We consider minimization of functions that are compositions of convex or prox-regular functions (possibly extended-valued) with smooth vector functions. A wide variety of important optimization problems fall into this framework. We describe…

Optimization and Control · Mathematics 2015-04-24 A. S. Lewis , S. J. Wright

We consider the reliable implementation of an adaptive high-order unfitted finite element method on Cartesian meshes for solving elliptic interface problems with geometrically curved singularities. We extend our previous work on the…

Numerical Analysis · Mathematics 2024-03-07 Zhiming Chen , Yong Liu

In this work, we develop a numerical homogenization approach for the fully nonlinear Landau-Lifshitz equation with rough coefficients, including non-periodicity and nonseparable scales. Direct numerical resolution of such multiscale…

Numerical Analysis · Mathematics 2026-05-11 Zetao Ma , Jingrun Chen , Rui Du , Lei Zhang