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The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

Numerical Analysis · Mathematics 2019-05-21 Andrew Loeb , Christopher Earls

The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in scientific computing, classical CPU,…

Mathematical Software · Computer Science 2016-05-25 Krzysztof Banaś , Filip Krużel , Jan Bielański

Graph-based machine learning has emerged as a promising approach for manufacturability analysis by learning directly from CAD models represented as Boundary Representations (B-reps), exploiting both surface geometry and topological…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Matteo Ballegeer , Toon Van Camp , Willem Jaspers , Alp Bayar , Aung Nyein Soe , Martin Roelfs , Dries F. Benoit , Bieke Decraemer , Joost R. Duflou

Isogeometric analysis (IGA) enables exact representations of computational geometries and higher-order approximation of PDEs. In non-smooth domains, however, singularities near corners limit the effectiveness of IGA, since standard methods…

Numerical Analysis · Mathematics 2025-05-16 Thomas Apel , Philipp Zilk

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

Methodology · Statistics 2015-11-13 Simon N. Wood

The lack of fa\c{c}ade structures in photogrammetric mesh models renders them inadequate for meeting the demands of intricate applications. Moreover, these mesh models exhibit irregular surfaces with considerable geometric noise and texture…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Libin Wang , Han Hu , Qisen Shang , Bo Xu , Qing Zhu

Artificial intelligence is beginning to reduce the manual effort in the CAD-to-mesh pipeline. Written for meshing and geometry practitioners with limited AI background, this survey organizes recent work by workflow step. We cover part…

Computational Engineering, Finance, and Science · Computer Science 2026-02-03 Steven Owen , Nathan Brown , Nikos Chrisochoides , Rao Garimella , Xianfeng Gu , Franck Ledoux , Na Lei , Roshan Quadros , Navamita Ray , Nicolas Winovich , Yongjie Jessica Zhang

In this contribution, we provide a new mass lumping scheme for explicit dynamics in isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual functionals is developed. Non-Uniform Rational B-splines (NURBS)…

Computational Engineering, Finance, and Science · Computer Science 2024-04-18 Susanne Held , Sascha Eisenträger , Wolfgang Dornisch

The SIMT execution model is commonly used for general GPU development. CUDA and OpenCL developers write scalar code that is implicitly parallelized by compiler and hardware. On Intel GPUs, however, this abstraction has profound performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-28 Guei-Yuan Lueh , Kaiyu Chen , Gang Chen , Joel Fuentes , Wei-Yu Chen , Fangwen Fu , Hong Jiang , Hongzheng Li , Daniel Rhee

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

Numerical Analysis · Mathematics 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao

Correctly capturing intraoperative brain shift in image-guided neurosurgical procedures is a critical task for aligning preoperative data with intraoperative geometry for ensuring accurate surgical navigation. While the finite element…

Image and Video Processing · Electrical Eng. & Systems 2022-10-18 Yasmin Salehi , Dennis Giannacopoulos

Damping of structures and systems is often dominated by frictional dissipation in connections, the prediction of which remains a longstanding scientific challenge. Previous studies have shown that the actual topography of contact interfaces…

Computational Engineering, Finance, and Science · Computer Science 2026-03-30 Hendrik D. Linder , David A. Najera-Flores , Robert J. Kuether , Malte Krack

3D Computer-Aided Design (CAD) users need to overcome several obstacles to benefit from the flexibility of programmatic interface tools. Besides the barriers of any programming language, users face challenges inherent to 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-06 J. Felipe Gonzalez , Danny Kieken , Thomas Pietrzak , Audrey Girouard , Géry Casiez

Simulation techniques such as the finite element method are essential for designing electrical devices, but their computational cost can be prohibitive for repeated or real-time computations. Projection-based model order reduction…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Matteo Zorzetto , Merle Backmeyer , Michael Wiesheu , Riccardo Torchio , Fabrizio Dughiero , Sebastian Schöps

We here introduce a novel scheme for generating smoothly-varying infill graded microstructural (IGM) configurations from a given menu of generating cells. The scheme was originally proposed for essentially improving the variety of…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Dingchuan Xue , Yichao Zhu , Xu Guo

The present level of development of molecular force field methods is assessed from the point of view of simulation-based engineering, outlining the immediate perspective for further development and highlighting the newly emerging discipline…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-22 Martin Horsch , Christoph Niethammer , Jadran Vrabec , Hans Hasse

The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces…

Numerical Analysis · Mathematics 2023-02-01 David Wells , Ben Vadala-Roth , Jae H. Lee , Boyce E. Griffith

We present an elastic simulator for domains defined as evolving implicit functions, which is efficient, robust, and differentiable with respect to both shape and material. This simulator is motivated by applications in 3D reconstruction: it…

Graphics · Computer Science 2025-04-09 Gilles Daviet , Tianchang Shen , Nicholas Sharp , David I. W. Levin

In recent years, high performance scientific computing on graphics processing units (GPUs) have gained widespread acceptance. These devices are designed to offer massively parallel threads for running code with general purpose. There are…

Mathematical Software · Computer Science 2018-02-13 Tao Cui , Xiaohu Guo , Hui Liu

Coarse-graining (CG) of molecular simulations simplifies the particle representation by grouping selected atoms into pseudo-beads and drastically accelerates simulation. However, such CG procedure induces information losses, which makes…

Machine Learning · Computer Science 2022-06-20 Wujie Wang , Minkai Xu , Chen Cai , Benjamin Kurt Miller , Tess Smidt , Yusu Wang , Jian Tang , Rafael Gómez-Bombarelli
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