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Spatially localized deformation components are very useful for shape analysis and synthesis in 3D geometry processing. Several methods have recently been developed, with an aim to extract intuitive and interpretable deformation components.…

Graphics · Computer Science 2017-12-19 Qingyang Tan , Lin Gao , Yu-Kun Lai , Jie Yang , Shihong Xia

Mesh optimization procedures are generally a combination of node smoothing and discrete operations which affect a small number of elements to improve the quality of the overall mesh. These procedures are useful as a post-processing step in…

Numerical Analysis · Mathematics 2023-10-18 Andrew Shi , Per-Olof Persson

This paper presents a spatial optimization methodology that extends the Spatial Packaging of Interconnected Systems with Physical Interaction (SPI2) framework to support arbitrary, non-convex design boundaries. We introduce a smooth,…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 S. Westerhof , T. Hofman

This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Lukas C. Høghøj , Cian Conlan-Smith , Ole Sigmund , Casper Schousboe Andreasen

Fine scale elastic structures are widespread in nature, for instances in plants or bones, whenever stiffness and low weight are required. These patterns frequently refine towards a Dirichlet boundary to ensure an effective load transfer.…

Numerical Analysis · Mathematics 2017-11-13 Nora Lüthen , Martin Rumpf , Sascha Tölkes , Orestis Vantzos

This work presents a multi-scale design methodology for the deterministic optimisation of thin-walled composite structures integrating a global-local approach for the assessment of the buckling strength and a dedicated strategy to recover…

Systems and Control · Electrical Eng. & Systems 2021-10-27 M. Picchi Scardaoni , M. I. Izzi , M. Montemurro , E. Panettieri , V. Cipolla , V. Binante

We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be…

Computational Engineering, Finance, and Science · Computer Science 2023-01-31 Anders Logg , Christian Valdemar Lorenzen , Carl Lundholm

Toolpath planning is an important task in laser aided additive manufacturing (LAAM) and other direct energy deposition (DED) processes. The deposition toolpaths for complex geometries with slender structures can be further optimized by…

Graphics · Computer Science 2020-06-29 N. Liu , K. Ren , W. Zhang , Y. F. Zhang , Y. X. Chew , J. Y. H. Fuh , G. J. Bi

Plane arrangements are a useful tool for surface and volume modelling. However, their main drawback is poor scalability. We introduce two key novelties that enable the construction of plane arrangements for complex objects and entire…

Computational Geometry · Computer Science 2024-07-12 Raphael Sulzer , Florent Lafarge

Stiffener layout optimization of complex surfaces is fulfilled within the framework of topology optimization. A combined parameterization method is developed in two aspects. One is to parameterize the material distribution of the stiffener…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Weihong Zhang , Shengqi Feng

This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the discretization approach and the adaptation strategy on the…

Numerical Analysis · Mathematics 2019-09-25 L. Noel , M. Schmidt , C. Messe , J. A. Evans , K. Maute

This work introduces an automated ply partitioning strategy for large-scale laminar composite manufacturing. It specifically targets the problem of fabricating large plies from available spooled materials, while minimizing the adverse…

Optimization and Control · Mathematics 2025-02-10 Eric Garner , Amir Mirzendehdel

We propose a two-level structural optimization method for obtaining an approximate optimal shape of piecewise developable surface without specifying internal boundaries between surface patches. The condition for developability of a…

Optimization and Control · Mathematics 2024-11-22 Makoto Ohsaki , Kentaro Hayakawa , Jingyao Zhang

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

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

The work proposes an image segmentation algorithm that isolates slender regions in three-dimensional microstructures. Characterizing slender regions in material microstructures is an extremely important aspect in material science because…

Data Analysis, Statistics and Probability · Physics 2025-03-13 Vinit Vijay Deshpande , Romana Piat

The rapidly evolving field of engineering design of functional surfaces necessitates sophisticated tools to manage the inherent complexity of high-dimensional design spaces. This survey paper offers a scoping review, i.e., a literature…

Optimization and Control · Mathematics 2025-04-09 Andrea Serani , Matteo Diez

The wide adoption of thermoplastic composites to reduce weight in structural parts requires reliable numerical methods to account for debonding between overmolded parts. Although cohesive elements are effective for debonding, the need for…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Sérgio G. F. Cordeiro , Boyang Chen , Frans P. van der Meer

The design and optimisation of aircraft wings are critical tasks in aerospace engineering, requiring a balance between structural integrity, aerostructural performance, and manufacturability. This multifaceted challenge involves the…

Computational Engineering, Finance, and Science · Computer Science 2024-11-06 Hauke Maathuis , Saullo G. P. Castro , Roeland De Breuker

A mesh improvement methodology is pre- sented which aims to improve the quality of the worst elements in 3D meshes with non-planar surfaces which cannot be improved using traditional methods. A nu- merical optimisation algorithm, which…

Optimization and Control · Mathematics 2013-07-15 Alan Kelly , Lukasz Kaczmarczyk , Chris Pearce
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