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3D printing is considered the future of production systems and one of the physical elements of the Fourth Industrial Revolution. 3D printing will significantly impact the product lifecycle, considering cost, energy consumption, and carbon…

Optimization and Control · Mathematics 2026-01-13 Amirreza Talebi

Geometric variability increases performance variability and degrades the mean performance of turbomachinery compressor blades. These detrimental effects can be reduced by using robust optimization to design the blade geometry or by imposing…

Optimization and Control · Mathematics 2014-11-04 Eric Dow , Qiqi Wang

Numerical simulation of ultrasonic wave propagation provides an efficient tool for crack identification in structures, while it requires a high resolution and expensive time calculation cost in both time integration and spatial…

Computational Engineering, Finance, and Science · Computer Science 2017-12-06 Shuaifang Zhang , Dongdong He , Dongsheng Li , Zhifeng Zhang , Yu Liu , Wei Shen

A new numerical method is presented for solving the rotating shallow water equations on a rotating sphere using quasi-uniform polygonal meshes. The method uses special families of finite element function spaces to mimic key mathematical…

Numerical Analysis · Mathematics 2015-06-23 John Thuburn , Colin J. Cotter

The quality of plastic parts produced through injection molding depends on many factors. Especially during the filling stage, defects such as weld lines, burrs, or insufficient filling can occur. Numerical methods need to be employed to…

Computational Engineering, Finance, and Science · Computer Science 2019-03-22 Violeta Karyofylli , Loic Wendling , Michel Make , Norbert Hosters , Marek Behr

In this work, we investigate a novel approach for the simulation of two-dimensional, brittle, quasi-static fracture problems based on a shape optimization approach. In contrast to the commonly-used phase-field approach, this proposed…

Optimization and Control · Mathematics 2025-07-28 Tim Suchan , Winnifried Wollner , Kathrin Welker

Benders' decomposition (BD) is a framework for solving optimization problems by removing some variables and modeling their contribution to the original problem via so-called Benders cuts. While many advanced optimization techniques can be…

Optimization and Control · Mathematics 2025-12-18 Christopher Hojny , Cédric Roy

Since the 1960's the finite element method emerged as a powerful tool for the numerical simulation of countless physical phenomena or processes in applied sciences. One of the reasons for this undeniable success is the great versatility of…

Numerical Analysis · Mathematics 2018-12-05 Vitoriano Ruas

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

This study presents a generative optimization framework based on a guided denoising diffusion probabilistic model (DDPM) that leverages surrogate gradients to generate heat sink designs minimizing pressure drop while maintaining surface…

Machine Learning · Computer Science 2025-11-14 Hadi Keramati , Morteza Sadeghi , Rajeev K. Jaiman

Scatterplots are among the most widely used visualization techniques. Compelling scatterplot visualizations improve understanding of data by leveraging visual perception to boost awareness when performing specific visual analytic tasks.…

Human-Computer Interaction · Computer Science 2022-07-08 Ghulam Jilani Quadri , Jennifer Adorno Nieves , Brenton M. Wiernik , Paul Rosen

Pin fins are imperative in the cooling of turbine blades. The designs of pin fins, therefore, have seen significant research in the past. With the developments in metal additive manufacturing, novel design approaches toward complex…

Fluid Dynamics · Physics 2023-01-31 Susheel Dharmadhikari , Reid A. Berdanier , Karen A. Thole , Amrita Basak

We present a new class of particle methods with deformable shapes that converge in the uniform norm without requiring remappings, extended overlapping or vanishing moments for the particles. The crux of the method is to use polynomial…

Numerical Analysis · Mathematics 2013-08-02 Martin Campos Pinto

We develop a finite element discretization for the weakly symmetric equations of linear elasticity on tetrahedral meshes. The finite element combines, for $r \geq 0$, discontinuous polynomials of $r$ for the displacement,…

Numerical Analysis · Mathematics 2018-02-09 Tobin Isaac

Numerical simulations have revolutionized the industrial design process by reducing prototyping costs, design iterations, and enabling product engineers to explore the design space more efficiently. However, the growing scale of simulations…

A novel design procedure for practical hierarchical distribution matchers (HiDMs) in probabilistically shaped constellation systems is presented. The proposed approach enables the determination of optimal parameters for any target…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Pantea Nadimi Goki , Luca Potì

When modeling scientific and industrial problems, geometries are typically modeled by explicit boundary representations obtained from computer-aided design software. Unfitted (also known as embedded or immersed) finite element methods offer…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Pere A. Martorell , Santiago Badia

Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding highly resolved, uniform discretitization in numerical…

Numerical Analysis · Mathematics 2019-08-27 Andreas Fischer , Bernhard Eidel

This paper deals with combination of two modern engineering methods in order to optimise the shape of a representative casting product. The product being analysed is a sling, which is used to attach pulling rope in timber transportation.…

Computational Engineering, Finance, and Science · Computer Science 2014-04-22 Nermina Zaimovic-Uzunovic , Samir Lemes , Damir Curic , Alan Topcic

An innovative computational approach to capturing the essential aspects of an Enhanced Geothermal System (EGS) is formulated. The modified finite element method is utilized to model transient heat and fluid flow within an EGS reservoir.…

Geophysics · Physics 2017-03-03 Kamran Jahan Bakhsh , Masami Nakagawa , Mahmood Arshad , Lucila Dunnington
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