Results 81 to 90 of about 1,207,944 (247)

Analysis of moving least squares approximation revisited

, 2015
In this article the error estimation of the moving least squares approximation is provided for functions in fractional order Sobolev spaces. The analysis presented in this paper extends the previous estimations and explains some unnoticed mathematical ...
Mirzaei, Davoud
core   +1 more source

Self‐Organized Multitarget Pursuit in Multi‐Unmanned Aerial Vehicle Systems via Hierarchical Probabilistic Graphical Models

Advanced Intelligent Systems, Volume 7, Issue 11, November 2025.
Multi‐UAV systems face challenges in adversarial environments due to limited adaptability and interpretability. This study proposes a self‐organized approach using hierarchical probabilistic graphical models with density‐driven parameter estimation.
Yixin Huang, Xiaojia Xiang, Chao Yan, Heda Xu, Tianjiang Hu, Han Zhou   +5 more
wiley   +1 more source

Efficient numerical method for pricing multi-asset options with the time-fractional Black-Scholes model: focus on American and digital options

Mathematical Modelling and Control
This study presents a numerical solution for the two-asset time-fractional Black-Scholes model, which governs American and digital options, using a local meshless collocation method based on Gaussian radial basis functions. The proposed meshless approach
Imtiaz Ahmad, Muhammad Nawaz Khan, Rashid Jan, Normy Norfiza Abdul Razak   +3 more
doaj   +1 more source

Local Maximum Entropy Shape Functions Based FE-EFGM Coupling [PDF]

, 2013
In this paper, a new method for coupling the finite element method (FEM)and the element-free Galerkin method (EFGM) is proposed for linear elastic and geometrically nonlinear problems using local maximum entropy shape functions in theEFG zone of the ...
Augarde, C.E., Coombs, W. M., Ullah, Z.
core  

Local meshless differential quadrature collocation method for time-fractional PDEs

Discrete and Continuous Dynamical Systems. Series A, 2020
This paper is concerned with the numerical solution of time- fractional partial differential equations (PDEs) via local meshless differential quadrature collocation method (LMM) using radial basis functions (RBFs).
I. Ahmad, Siraj-ul-Islam, Mehnaz, Sakhi Zaman   +3 more
semanticscholar   +1 more source

The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations

International Journal for Numerical Methods in Fluids, Volume 97, Issue 11, Page 1426-1440, November 2025.
Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas, A. Sakellarios, N. Malamos, V. C. Loukopoulos, V. N. Burganos, K. Miller, A. Langousis, D. I. Fotiadis, A. A. Dimas, V. M. Calo   +9 more
wiley   +1 more source

Meshless Local Petrov-Galerkin Method for Plane Piezoelectricity

Computers, Materials & Continua, 2006
Piezoelectric materials have wide range engineering applications in smart structures and devices. They have usually anisotropic properties. Except this complication electric and mechanical fields are coupled each other and the governing equations are much more complex than that in the classical elasticity. Thus, efficient computational methods to solve
J. Sladek, V. Sladek, Ch. Zhang, F. Garcia-Sanche, M. Wünsche   +4 more
openaire   +1 more source

Imposing boundary conditions in the meshless local Petrov–Galerkin method

IET Science, Measurement & Technology, 2008
A particular meshless method, named meshless local Petrov-Galerkin is investigated. To treat the essential boundary condition problem, an alternative approach is proposed. The basic idea is to merge the best features of two different methods of shape function generation: the moving least squares (MLS) and the radial basis functions with polynomial ...
A.R. Fonseca, S.A. Viana, E.J. Silva, R.C. Mesquita   +3 more
openaire   +1 more source

Quantifying the Influence of Fault Geometry via Mesh Morphing With Applications to Earthquake Dynamic Rupture and Thermal Models of Subduction

Geochemistry, Geophysics, Geosystems, Volume 26, Issue 11, November 2025.
Abstract Subsurface geometries, such as faults and subducting slab interfaces, are often poorly constrained, yet they exert first‐order control on key geophysical processes, including subduction zone thermal structure and earthquake rupture dynamics.
Gabrielle M. Hobson, Dave A. May, Alice‐Agnes Gabriel   +2 more
wiley   +1 more source

A Computational Multiscale Framework for Bone Remodeling: Coupling Apparent Density Evolution and Microscale Shape Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 10, October 2025.
This study introduces a multiscale patient‐specific framework that couples mechano‐biological bone remodeling at the macroscale with microscale shape optimization. The framework is validated through literature case studies and demonstrates how remodeling influences vertebral fracture behavior.
Balavignesh Vemparala, Mingshi Ji, Prasath Mageswaran, Gregory G. Knapik, Khaled Dibs, Dukagjin M. Blakaj, Eric C. Bourekas, Ehud Mendel, William S. Marras, Soheil Soghrati   +9 more
wiley   +1 more source