Results 91 to 100 of about 12,689 (224)
Location of Optimal Stress Points in Isogeometric Analysis [PDF]
مجله مدل سازی در مهندسی, 2015 Isogeomteric Analysis is a newly developed method with some features that can be considered as a potential substitute to other numerical methods such as finite elements and meshless approaches.
Behrooz Hassani, Ahmad Ganjali
doaj +1 more source
International Journal of Mechanical System Dynamics, Volume 5, Issue 2, Page 212-235, June 2025.ABSTRACT AI for PDEs has garnered significant attention, particularly physics‐informed neural networks (PINNs). However, PINNs are typically limited to solving specific problems, and any changes in problem conditions necessitate retraining. Therefore, we explore the generalization capability of transfer learning in the strong and energy forms of PINNs ...
Yizheng Wang +6 more
wiley +1 more source
International Journal of Mechanical System Dynamics, Volume 5, Issue 2, Page 345-353, June 2025.ABSTRACT In this article, the physics informed neural networks (PINNs) is employed for the numerical simulation of heat transfer involving a moving source under mixed boundary conditions. To reduce computational effort and increase accuracy, a new training method is proposed that uses a continuous time‐stepping through transfer learning.
Anirudh Kalyan, Sundararajan Natarajan
wiley +1 more source
A Comprehensive Review of Isogeometric Topology Optimization: Methods, Applications and Prospects
Chinese Journal of Mechanical Engineering, 2020 Topology Optimization (TO) is a powerful numerical technique to determine the optimal material layout in a design domain, which has accepted considerable developments in recent years.
Jie Gao, Mi Xiao, Yan Zhang, Liang Gao
doaj +1 more source
Corotational Hinge‐based Thin Plates/Shells
Computer Graphics Forum, Volume 44, Issue 2, May 2025.Abstract We present six thin plate/shell models, derived from three distinct types of curvature operators formulated within the corotational frame, for simulating both rest‐flat and rest‐curved triangular meshes. Each curvature operator derives a curvature expression corresponding to both a plate model and a shell model.
Qixin Liang
wiley +1 more source
Preconditioning Techniques for Generalized Sylvester Matrix Equations
Numerical Linear Algebra with Applications, Volume 32, Issue 2, April 2025.ABSTRACT Sylvester matrix equations are ubiquitous in scientific computing. However, few solution techniques exist for their generalized multiterm version, as they now arise in an increasingly large number of applications. In this work, we consider algebraic parameter‐free preconditioning techniques for the iterative solution of generalized multiterm ...
Yannis Voet
wiley +1 more source
Isogeometric Analysis for Fluid Shear Stress in Cancer Cells
Mathematical and Computational Applications, 2020 The microenvironment of the tumor is a key factor regulating tumor cell invasion and metastasis. The effects of physical factors in tumorigenesis is unclear.
José A. Rodrigues
doaj +1 more source
Geometry physics neural operator solver for solid mechanics
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 10, Page 1388-1404, 18 April 2025.Abstract This study developed Geometry Physics neural Operator (GPO), a novel solver framework to approximate the partial differential equation (PDE) solutions for solid mechanics problems with irregular geometry and achieved a significant speedup in simulation time compared to numerical solvers. GPO leverages a weak form of PDEs based on the principle
Chawit Kaewnuratchadasorn +3 more
wiley +1 more source
Transfinite Patches for Isogeometric Analysis
MathematicsThis paper extends the well-known transfinite interpolation formula, which was developed in the late 1960s by the applied mathematician William Gordon at the premises of General Motors as an extension of the pre-existing Coons interpolation formula. Here,
Christopher Provatidis
doaj +1 more source
ISOGEOMETRIC STRUCTURAL ANALYSIS BASED ON NURBS SHAPE FUNCTIONS
Facta Universitatis. Series: Mechanical Engineering, 2014 Finite element method (FEM) is a tool that is mostly used for the structural analysis. The method is based upon approximation of the actual geometry and displacement field of the structure over the finite element domain.
Predrag Milić, Dragan Marinković
doaj