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The modern aerodynamic optimization has a strong demand for parametric methods with high levels of intuitiveness, flexibility, and representative accuracy, which cannot be fully achieved through traditional airfoil parametric techniques. In…

Fluid Dynamics · Physics 2023-05-08 Hairun Xie , Jing Wang , Miao Zhang

Robust, broadly applicable fluid-structure interaction (FSI) algorithms remain a challenge for computational mechanics. In previous work, we introduced an immersed interface method (IIM) for discrete surfaces and an extension based on an…

Computational Physics · Physics 2025-11-14 Qi Sun , Ebrahim M. Kolahdouz , Boyce E. Griffith

This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the…

Numerical Analysis · Mathematics 2022-11-18 Annalisa Buffa , Gregor Gantner , Carlotta Giannelli , Dirk Praetorius , Rafael Vázquez

Particle-based shape modeling (PSM) is a popular approach to automatically quantify shape variability in populations of anatomies. The PSM family of methods employs optimization to automatically populate a dense set of corresponding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Hong Xu , Shireen Y. Elhabian

In the design of electromagnetic devices the accurate representation of the geometry plays a crucial role in determining the device performance. For accelerator cavities, in particular, controlling the frequencies of the eigenmodes is…

Computational Physics · Physics 2017-11-07 Jacopo Corno , Carlo de Falco , Herbert De Gersem , Sebastian Schöps

When learning simulations for modeling physical phenomena in industrial designs, geometrical variabilities are of prime interest. While classical regression techniques prove effective for parameterized geometries, practical scenarios often…

Machine Learning · Computer Science 2023-10-24 Fabien Casenave , Brian Staber , Xavier Roynard

This paper presents an effective formulation to study the response of laminated composites based on isogeometric approach (IGA) and Carrera unified formulation (CUF). The IGA utilizes the non-uniform rational B-spline (NURBS) functions…

Numerical Analysis · Mathematics 2013-12-17 S Natarajan , H Nguyen-Xuan , AJM Ferreira , E Carrera

Creating high-fidelity 3D meshes with arbitrary topology, including open surfaces and complex interiors, remains a significant challenge. Existing implicit field methods often require costly and detail-degrading watertight conversion, while…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Xianglong He , Zi-Xin Zou , Chia-Hao Chen , Yuan-Chen Guo , Ding Liang , Chun Yuan , Wanli Ouyang , Yan-Pei Cao , Yangguang Li

A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizing identical finite dimensional spaces (with arbitrary…

The existing combinatorial methods for iso-surface computation are efficient for pure visualization purposes, but it is known that the resulting iso-surfaces can have holes, and topological problems like missing or wrong connectivity can…

Computational Geometry · Computer Science 2014-02-14 Abdulaziz Ali , Dieter Bothe

In isogeometric analysis, it is frequently required to handle the geometric models enclosed by four-sided or non-four-sided boundary patches, such as trimmed surfaces. In this paper, we develop a Gregory solid based method to parameterize…

Graphics · Computer Science 2018-12-03 Chuanfeng Hu , Hongwei Lin

Multi-material problems often exhibit complex geometries along with physical responses presenting large spatial gradients or discontinuities. In these cases, providing high-quality body-fitted finite element analysis meshes and obtaining…

Numerical Analysis · Mathematics 2022-02-14 L. Noel , M. Schmidt , K. Doble , J. A. Evans , K. Maute

In this paper, we propose a full-duplex integrated sensing and communication (ISAC) system enabled by a movable antenna (MA). By leveraging the characteristic of MA that can increase the spatial diversity gain, the performance of the system…

Signal Processing · Electrical Eng. & Systems 2025-11-07 Zhendong Li , Jianle Ba , Zhou Su , Haixia Peng , Yuntao Wang , Wen Chen , Qingqing Wu

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

A novel approach which combines isogeometric collocation and an equilibrium-based stress recovery technique is applied to analyze laminated composite plates. Isogeometric collocation is an appealing strong form alternative to standard…

Numerical Analysis · Mathematics 2024-12-20 Alessia Patton , John-Eric Dufour , Pablo Antolin , Alessandro Reali

This work blends the inexact Newton method with iterative combined approximations (ICA) for solving topology optimization problems under the assumption of geometric nonlinearity. The density-based problem formulation is solved using a…

Numerical Analysis · Mathematics 2021-12-17 Thadeu A. Senne , Francisco A. M. Gomes , Sandra A. Santos

We consider an adaptive algorithm for finite element methods for the isogeometric analysis (IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations. We employ analysis-suitable T-splines of arbitrary odd…

Numerical Analysis · Mathematics 2020-09-07 Gregor Gantner , Dirk Praetorius

We present an isogeometric framework based on collocation to construct a $C^2$-smooth approximation of the solution of the Poisson's equation over planar bilinearly parameterized multi-patch domains. The construction of the used globally…

Numerical Analysis · Mathematics 2020-02-19 Mario Kapl , Vito Vitrih

We propose a novel mixed finite-element formulation for geometrically exact (Simo--Reissner) beams that introduces the moment vector as additional independent field. The specific mixed form allows for an element-local, discontinuous…

Numerical Analysis · Mathematics 2026-05-20 Alexander Humer , Ivo Steinbrecher , Astrid Pechstein

We present a geometric Particle-in-Cell (PIC) algorithm on two-dimensional (2D) unstructured meshes for studying electrostatic perturbations in magnetized plasmas. In this method, ions are treated as fully kinetic particles, and electrons…

Plasma Physics · Physics 2021-08-11 Zhenyu Wang , Hong Qin , Benjamin Sturdevant , C. S. Chang
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