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相关论文: Adaptive local surface refinement based on LR NURB…

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When a numerical simulation has to handle a physics problem with a wide range of time-dependent length scales, dynamically adaptive discretizations can be the method of choice. We present a major upgrade to the numerical relativity code…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Sarah Renkhoff , Daniela Cors , David Hilditch , Bernd Brügmann

This paper proposes a novel discretization workflow for contact problems in which the discretization of the contact interface is decoupled from that of the bulk domain. This separation enables independently tailored meshes for the contact…

计算工程、金融与科学 · 计算机科学 2026-03-03 Eugenia Gabriela Loera Villeda , Ivo Steinbrecher , Alexander Popp

We introduce trimmed NURBS surfaces with accurate boundary control, briefly called ABC-surfaces, as a solution to the notorious problem of constructing watertight or smooth ($G^1$ and $G^2)$ multi-patch surfaces within the function range of…

图形学 · 计算机科学 2021-03-16 Florian Martin , Ulrich Reif

This paper introduces a watertight technique to deal with the boundary representation of surface-surface intersection in CAD. Surfaces play an important role in today's geometric design. The mathematical model of non-uniform rational…

图形学 · 计算机科学 2024-02-19 Hua Li , Lu Zhang , Ruoxi Guo , Zushang Xiao , Rui Guo

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…

计算工程、金融与科学 · 计算机科学 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

We propose a novel and unsupervised representation learning model, i.e., Robust Block-Diagonal Adaptive Locality-constrained Latent Representation (rBDLR). rBDLR is able to recover multi-subspace structures and extract the adaptive…

计算机视觉与模式识别 · 计算机科学 2019-08-06 Zhao Zhang , Jiahuan Ren , Sheng Li , Richang Hong , Zhengjun Zha , Meng Wang

This work introduces an Adaptive Mesh Refinement (AMR) strategy for the topology optimization of structures made of discrete geometric components using the geometry projection method. Practical structures made of geometric shapes such as…

最优化与控制 · 数学 2020-04-22 Shanglong Zhang , Arun L. Gain , Julian A. Norato

This article's main scope is the presentation of a computational method for the simulation of contact problems within the finite element method involving complex and rough surfaces. The approach relies on the MPJR (eMbedded Profile for…

软凝聚态物质 · 物理学 2025-04-03 Jacopo Bonari , Marco Paggi , Daniele Dini

We extend our recent curve-evolution framework based on localized B-spline interpolation to present an adaptive Lagrangian framework for the geometric evolution of point-cloud data representing smooth, codimension-one surfaces in…

数值分析 · 数学 2026-01-19 Muhammad Ammad , Leevan Ling

A geometrically exact membrane formulation is presented that is based on curvilinear coordinates and isogeometric finite elements, and is suitable for both solid and liquid membranes. The curvilinear coordinate system is used to describe…

计算工程、金融与科学 · 计算机科学 2012-10-18 Roger A. Sauer , Thang X. Duong , Callum J. Corbett

This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by…

计算工程、金融与科学 · 计算机科学 2019-02-07 N. Vu-Bac , T. X. Duong , T. Lahmer , X. Zhuang , R. A. Sauer , H. S. Parke , T. Rabczuk

A novel approach to the simulation with the boundary element method using trimmed NURBS patches is presented. The advantage of this approach is its efficiency and easy implementation. The analysis with trimmed NURBS is achieved by double…

数值分析 · 计算机科学 2014-06-16 Gernot Beer , Benjamin Marussig , Jürgen Zechner , Christian Dünser , Thomas-Peter Fries

We propose a containment query that is robust to the watertightness of regions bound by trimmed NURBS surfaces, as this property is difficult to guarantee for in-the-wild CAD models. Containment is determined through the generalized winding…

图形学 · 计算机科学 2026-05-22 Jacob Spainhour , Kenneth Weiss

Finite element approximations of minimal surface are not always precise. They can even sometimes completely collapse. In this paper, we provide a simple and inexpensive method, in terms of computational cost, to improve finite element…

数值分析 · 数学 2018-05-18 Aymeric Grodet , Takuya Tsuchiya

In this paper we present a method for knot insertion and degree elevation of generalized B-splines (GB-splines) via the local representation of these curves as piecewise functions. The use of local structures makes the refinement routines…

数值分析 · 数学 2016-01-01 Ian D. Henriksen , Emily J. Evans

We present an adaptive refinement algorithm for T-splines on unstructured 2D meshes. While for structured 2D meshes, one can refine elements alternatingly in horizontal and vertical direction, such an approach cannot be generalized directly…

数值分析 · 数学 2022-05-03 Roland Maier , Philipp Morgenstern , Thomas Takacs

In the present work we introduce a complete set of algorithms to efficiently perform adaptive refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines) defined on suitably graded isogeometric meshes, that are…

数值分析 · 数学 2019-03-27 Massimo Carraturo , Carlotta Giannelli , Alessandro Reali , Rafael Vázquez

During relativistic magnetic reconnection, antiparallel magnetic fields undergo a rapid change in topology, releasing a large amount of energy in the form of non-thermal particle acceleration. This work explores the application of mesh…

Numerical simulations of two-phase flow and fluid structure interaction problems are of great interest in many environmental problems and engineering applications. To capture the complex physical processes involved in these problems, a high…

流体动力学 · 物理学 2023-06-02 Yadong Zeng

In this paper, we present a Robust Completed Local Binary Pattern (RCLBP) framework for a surface defect detection task. Our approach uses a combination of Non-Local (NL) means filter with wavelet thresholding and Completed Local Binary…

计算机视觉与模式识别 · 计算机科学 2021-12-09 Nana Kankam Gyimah , Abenezer Girma , Mahmoud Nabil Mahmoud , Shamila Nateghi , Abdollah Homaifar , Daniel Opoku