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Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

We introduce new manifold-based splines that are able to exactly reproduce B-splines on unstructured surface meshes. Such splines can be used in isogeometric analysis (IGA) to represent smooth surfaces of arbitrary topology. Since prevalent…

Numerical Analysis · Mathematics 2019-01-31 Qiaoling Zhang , Thomas Takacs , Fehmi Cirak

We present a comprehensive rotation-free Kirchhoff-Love (KL) shell formulation for peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture in thin-walled structures. To remove the need for a predefined…

Numerical Analysis · Mathematics 2022-01-12 Masoud Behzadinasab , Mert Alaydin , Nathaniel Trask , Yuri Bazilevs

We consider the method of mappings for performing shape optimization for unsteady fluid-structure interaction (FSI) problems. In this work, we focus on the numerical implementation. We model the optimization problem such that it takes…

Optimization and Control · Mathematics 2024-06-21 Johannes Haubner , Michael Ulbrich

This paper presents the development of a complete CAD-compatible framework for structural shape optimization in 3D. The boundaries of the domain are described using NURBS while the interior is discretized with B\'ezier tetrahedra. The…

Computational Engineering, Finance, and Science · Computer Science 2024-01-01 Jorge López , Cosmin Anitescu , Timon Rabczuk

We present an elegant framework of fine-grained neural architecture search (FGNAS), which allows to employ multiple heterogeneous operations within a single layer and can even generate compositional feature maps using several different base…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Heewon Kim , Seokil Hong , Bohyung Han , Heesoo Myeong , Kyoung Mu Lee

We propose a novel and flexible roof modeling approach that can be used for constructing planar 3D polygon roof meshes. Our method uses a graph structure to encode roof topology and enforces the roof validity by optimizing a simple but…

Graphics · Computer Science 2021-09-17 Jing Ren , Biao Zhang , Bojian Wu , Jianqiang Huang , Lubin Fan , Maks Ovsjanikov , Peter Wonka

Although isogeometric analysis exploits smooth B-spline and NURBS basis functions for the definition of discrete function spaces as well as for the geometry representation, the global smoothness in so-called multipatch parametrizations is…

Numerical Analysis · Mathematics 2023-07-26 Jeremias Arf , Mathias Reichle , Sven Klinkel , Bernd Simeon

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional…

Numerical Analysis · Mathematics 2021-05-11 Toru Takahashi , Daisuke Sato , Hiroshi Isakari , Toshiro Matsumoto

We present a governance-aware hybrid fine-tuning framework for multilingual, low-resource adaptation of large language models. The core algorithm combines gradient-aligned low-rank updates with structured orthogonal transformations through…

Computation and Language · Computer Science 2025-12-22 Haomin Qi , Chengbo Huang , Zihan Dai , Yunkai Gao

We introduce a stochastic framework into the open--source Core Imaging Library (CIL) which enables easy development of stochastic algorithms. Five such algorithms from the literature are developed, Stochastic Gradient Descent, Stochastic…

Shape optimization involves the minimization of a cost function defined over a set of shapes, often governed by a partial differential equation (PDE). In the absence of closed-form solutions, one relies on numerical methods to approximate…

Numerical Analysis · Mathematics 2025-02-21 Eloi Martinet , Leon Bungert

Rapid reconstruction of 2D plasma profiles from line-integral measurements is important in nuclear fusion. This paper introduces a physics-informed model architecture called Onion, that can enhance the performance of models and be adapted…

Shells, i.e., objects made of a thin layer of material following a surface, are among the most common structures in use. They are highly efficient, in terms of material required to maintain strength, but also prone to deformation and…

Graphics · Computer Science 2019-04-30 Francisca Gil-Ureta , Nico Pietroni , Denis Zorin

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are…

Computational Engineering, Finance, and Science · Computer Science 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

This work studies shape filtering techniques, namely the convolution-based (explicit) and the PDE-based (implicit), and introduces an implicit bulk-surface filtering method to control the boundary smoothness and preserve the internal mesh…

Numerical Analysis · Mathematics 2022-08-02 Reza Najian Asl , Kai-Uwe Bletzinger

Isogeometric cohesive elements are presented for modeling two and three dimensional delaminated composite structures. We exploit the knot insertion algorithm offered by NURBS (Non Uniform Rational B-splines) to generate cohesive elements…

Numerical Analysis · Mathematics 2014-10-07 Vinh Phu Nguyen , Pierre Kerfriden , Stephane Bordas

In the present work, a novel class of hybrid elements is proposed to alleviate the locking anomaly in non-uniform rational B-spline (NURBS)-based isogeometric analysis (IGA) using a two-field Hellinger-Reissner variational principle. The…

Numerical Analysis · Mathematics 2021-03-18 Dhiraj S. Bombarde , Sachin S. Gautam , Arup Nandy

Industrial CAD workflows require robust, generalizable 3D geometric representations supporting accuracy and explainability. We introduce Shape, a self-supervised foundation model converting surface meshes into dense per-token embeddings.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Bayangmbe Mounmo , Sam Chien , Mile Mitrovic

Research into the processes of photoionised nebulae plays a significant part in our understanding of stellar evolution. It is extremely difficult to visually represent or model ionised nebula, requiring astronomers to employ sophisticated…

Instrumentation and Methods for Astrophysics · Physics 2020-05-26 K. Fitzgerald , E. J Harvey , N. Keaveney , M. Redman
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