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The goal of this paper is to investigate the validity of a hybrid embedded/homogenized in-silico approach for modeling perfusion through solid tumors. The rationale behind this novel idea is that only the larger blood vessels have to be…

Computational Engineering, Finance, and Science · Computer Science 2021-07-15 Johannes Kremheller , Sebastian Brandstaeter , Bernhard A. Schrefler , Wolfgang A. Wall

We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured porous media, reinforced materials, and electric circuits. The…

Numerical Analysis · Mathematics 2020-07-22 Fredrik Hellman , Axel Målqvist , Siyang Wang

This paper presents a density-based topology optimization approach to design structures under self-weight load. Such loads change their magnitude and/or location as the topology optimization advances and pose several unique challenges,…

Computational Engineering, Finance, and Science · Computer Science 2022-04-26 Prabhat Kumar

The absorption of sound has great significance in many scientific and engineering applications, from room acoustics to noise mitigation. In this context, porous materials have emerged as a viable solution towards high absorption performance…

Applied Physics · Physics 2023-10-31 S. Kuznetsova , S. Deleplanque , B. Dubus , M. Miniaci

Complex prediction models such as deep learning are the output from fitting machine learning, neural networks, or AI models to a set of training data. These are now standard tools in science. A key challenge with the current generation of…

Machine Learning · Computer Science 2022-10-21 Meng Liu , Tamal K. Dey , David F. Gleich

A phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects is considered. The pore-scale model consists of a strongly coupled system of Stokes-Cahn-Hilliard equations. The fluids are…

Analysis of PDEs · Mathematics 2023-01-25 Nitu Lakhmara , Hari Shankar Mahato

A topology optimization approach for designing large deformation contact-aided shape morphing compliant mechanisms is presented. Such mechanisms can be used in varying operating conditions. Design domains are described by regular hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2020-10-23 Prabhat Kumar , Roger A. Sauer , Anupam Saxena

Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous media. Accurately capturing the macroscopic behavior of such…

Numerical Analysis · Mathematics 2025-06-27 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang

We present a new algorithm for the design of the connection region between different lattice materials. We solve a Stokes-type topology optimization problem on a narrow morphing region to smoothly connect two different unit cells. The…

Computational Engineering, Finance, and Science · Computer Science 2022-06-03 Nicola Ferro , Simona Perotto , Matteo Gavazzoni

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

Social and Information Networks · Computer Science 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

A method evaluating the sensitivity of a given parameter to topological changes is proposed within the method of moments paradigm. The basis functions are used as degrees of freedom which, when compared to the classical pixeling technique,…

Computational Physics · Physics 2019-03-07 Miloslav Capek , Lukas Jelinek , Mats Gustafsson

Topological structures in image data, such as connected components and loops, play a crucial role in understanding image content (e.g., biomedical objects). % Despite remarkable successes of numerous image processing methods that rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Pengfei Gu , Hongxiao Wang , Yejia Zhang , Huimin Li , Chaoli Wang , Danny Chen

Complex shapes are widely used to design products in several industries such as aeronautics, automotive and domestic appliances. Several variations of their curvatures and orientations generate difficulties during their manufacturing or the…

Other Computer Science · Computer Science 2012-07-03 Laurent Tapie , Kwamiwi Mawussi , Alain Bernard

In this paper, we propose a level set-based topology optimization method for the unit-cell design of acoustic metasurfaces by using a two-scale homogenization method. Based on previous works, we first propose a homogenization method for…

Computational Engineering, Finance, and Science · Computer Science 2021-06-23 Yuki Noguchi , Takayuki Yamada

Stirring of fluid with moving rods is necessary in many practical applications to achieve homogeneity. These rods are topological obstacles that force stretching of fluid elements. The resulting stretching and folding is commonly observed…

Chaotic Dynamics · Physics 2007-05-23 Jean-Luc Thiffeault , Matthew D. Finn

Accurate segmentation of tubular structures in medical images, such as vessels and airway trees, is crucial for computer-aided diagnosis, radiotherapy, and surgical planning. However, significant challenges exist in algorithm design when…

Image and Video Processing · Electrical Eng. & Systems 2025-04-11 Yi Huang , Ke Zhang , Wei Liu , Yuanyuan Wang , Vishal M. Patel , Le Lu , Xu Han , Dakai Jin , Ke Yan

This paper proposes a level set-based method for optimizing shell structures with large design changes in shape and topology. Conventional shell optimization methods, whether parametric or nonparametric, often only allow limited design…

Computational Engineering, Finance, and Science · Computer Science 2024-08-29 Hiroki Kobayashi , Katsuya Nomura , Yuqing Zhou , Masato Tanaka , Atsushi Kawamoto , Tsuyoshi Nomura

This work presents a computational method for the design of architected truss lattice materials where each strut can be made of one of a set of available materials. We design the lattices to extremize effective properties. As customary in…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

Predicting the permeability of porous media in saturated and partially saturated conditions is of crucial importance in many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many…

An enhanced geometric algorithm for automated pore-by-pore contact angle measurement from micro-CT images, is presented that achieves superior accuracy compared to existing methods through robust fluid-fluid and solid-fluid interface…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Faisal Aljaberi , Hadi Belhaj , Sajjad Foroughi , Mohammed Al-Kobaisi , Martin Blunt
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