Article
Computer Science, Software Engineering
Cheng Wang, Caigui Jiang, Hui Wang, Xavier Tellier, Helmut Pottmann
Summary: This paper focuses on the computational design of architectural structures based on a grid of intersecting beams aligned with parameter lines of a quad mesh. It addresses the planarity of long-range supporting beams along selected polylines in the underlying mesh, as well as other constraints such as planarity of faces, right node angles, and static equilibrium. The discrete counterparts of well-known surfaces in classical geometry are studied, and their knowledge is used to initialize the proposed optimization algorithms.
COMPUTER-AIDED DESIGN
(2023)
Article
Computer Science, Software Engineering
Leman Feng, Yiying Tong, Mathieu Desbrun
Summary: Singularity editing of a quadrangle mesh is improved through a simple and principled editing primitive allowing for efficient displacement of singularities using a deterministic and reversible chain of local topological operations.
ACM TRANSACTIONS ON GRAPHICS
(2021)
Article
Computer Science, Software Engineering
Chi Zhang, Shuangming Chai, Ligang Liu, Xiao-Ming Fu
Summary: The method introduces a novel field-guided segmentation approach and a template-based quad meshing method to generate high-quality quad meshes with a small number of quad patches while bounding geometric errors.
COMPUTER-AIDED DESIGN
(2021)
Article
Mathematics, Applied
Santiago Badia, Jerome Droniou, Liam Yemm
Summary: A condition number analysis of a Hybrid High-Order (HHO) scheme for the Poisson problem is conducted, showing that the condition number is independent of the number of faces or relative size of elements, but dependent on the polynomial degree. HHO schemes on cut background meshes are explored, revealing that the condition number is less negatively affected compared to conforming methods.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Computer Science, Software Engineering
Muhammad Naeem Akram, Kaoji Xu, Guoning Chen
Summary: This paper presents a structure simplification framework for planar all-quad meshes with open boundaries. It introduces separatrix-based semi-global operations and ranking strategies to generate quad meshes with better quality and simpler structure, while preserving boundary features.
COMPUTERS & GRAPHICS-UK
(2022)
Article
Mathematics, Applied
Roland Herzog, Estefania Loayza-romero
Summary: Shape spaces are important in various applications. This work focuses on two-dimensional shapes represented by triangular meshes and proposes a geodesically complete Riemannian metric to prevent mesh degradation along geodesic curves.
MATHEMATICS OF COMPUTATION
(2022)
Article
Construction & Building Technology
Nicolas Montagne, Cyril Douthe, Xavier Tellier, Corentin Fivet, Olivier Baverel
Summary: This article introduces a novel type of surface structure called Voss surfaces, which can be constructed from flat panels and hinged connections. These surfaces have good fabrication and mechanical properties. The article also presents two methods for generating discrete Voss surfaces and showcases their application in architecture design.
AUTOMATION IN CONSTRUCTION
(2022)
Article
Mathematics, Applied
Daniele A. Di Pietro
Summary: In this work, a discrete counterpart of a two-dimensional de Rham complex with enhanced regularity is developed using the discrete de Rham approach. The proposed construction supports general polygonal meshes and arbitrary approximation orders. Exactness on a contractible domain is established for both versions of the complex with and without boundary conditions, and a complete set of Poincare-type inequalities is proved for the former. The discrete complex is then used to derive a novel discretization method for a quad-rot problem, which does not require the forcing term to be prepared. Complete stability and convergence analyses are carried out for the proposed scheme, and numerical validation of the results is provided.
IMA JOURNAL OF NUMERICAL ANALYSIS
(2023)
Article
Chemistry, Multidisciplinary
Yingxiang He, Jianmin Gu, Adan Li
Summary: Gray bismuth chloride nanosheets with highly enhanced electric field intensity were prepared and showed excellent photocatalytic activity under visible light.
Article
Engineering, Multidisciplinary
Deepesh Toshniwal
Summary: This study presents a construction method for quadratic splines of mixed smoothness, which have useful properties such as simple computer implementation and excellent approximation behavior. Numerical tests demonstrate optimal approximation behavior under mesh refinement.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
Qingguang Guan, Gillian Queisser, Wenju Zhao
Summary: This paper proposes a method for defining new basis functions on curved sides or faces of curvilinear elements. The method collects linearly independent traces of polynomials on the curved sides/faces to construct the basis functions. It can handle complex boundaries or interfaces and achieve high-order convergence rates.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Engineering, Marine
Luka Grubisic, Domagoj Lacmanovic, Marin Palaversa, Pero Prebeg, Josip Tambaca
Summary: We present an algorithm for the fully automatic generation of a class-compliant mesh for ship structural analysis. The algorithm consists of automatic geometry refinement and a preconditioned Delaunay frontal quad dominant mesh generator. The main contribution of the paper is the automatic geometry refinement algorithm and the virtual stiffener procedure. The algorithm is implemented in Python using the open-source Gmsh system and the Open CASCADE kernel.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Mathematics, Applied
Jerome Droniou, Liam Yemm
Summary: The researchers developed a Hybrid High-Order (HHO) scheme for the Poisson problem that is robust on polytopal meshes with small edges/faces. Optimal error estimates were established under certain assumptions on stabilisation terms, and illustrated through numerical simulations on agglomerated meshes.
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
(2022)
Article
Construction & Building Technology
Marco Meloni, Qian Zhang, Joonseok Pak, Manish Naresh Bilore, Ruijun Ma, Emil Ballegaard, Daniel Sang-Hoon Lee, Jianguo Cai
Summary: This article proposes a method for designing origami tessellations using quadrilateral meshes and degree -4 vertices. The method involves generating crease patterns from base units with tailored generation functions. The theoretical framework is further implemented in a parametric design workflow with the aid of an Interactive Evolutionary Algorithm. The proposed workflow is a flexible tool for designing and analyzing both rigid and non-rigid foldable origami patterns.
AUTOMATION IN CONSTRUCTION
(2022)
Article
Multidisciplinary Sciences
Ningbin Mao, Guanqing Zhang, Yutao Tang, Yang Li, Zixian Hu, Xuecai Zhang, Kingfai Li, Kokwai Cheah, Guixin Li
Summary: This study experimentally demonstrates nonlinear vectorial holography on a quad-atom plasmonic metasurface, which simultaneously manipulates the phase and amplitude of the second harmonic waves to generate nonlinear holographic images with vectorial polarization distributions. The proposed metasurface platform has important applications in vectorial polarization nonlinear optical source, high-capacity optical information storage, and optical encryption.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
