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Boundary layer challenges: A comparative analysis of two efficient meshless approaches
Partial Differential Equations in Applied MathematicsThis article presents two meshless computational techniques: the radial basis function (RBF) method and the polynomial method, for numerically analyzing boundary layer problems, with a specific focus on singularly perturbed two-point boundary value ...
Abdulrahman Obaid Alshammari +2 more
doaj +1 more source
The meshless finite element method [PDF]
International Journal for Numerical Methods in Engineering, 2003 AbstractA meshless method is presented which has the advantages of the good meshless methods concerning the ease of introduction of node connectivity in a bounded time of order n, and the condition that the shape functions depend only on the node positions.
Idelsohn, Sergio Rodolfo +3 more
openaire +4 more sources
, 2016 Three meshless methods, including incompressible smooth particle hydrodynamic (ISPH), moving particle semi-implicit (MPS) and meshless local Petrov–Galerkin method based on Rankine source solution (MLPG_R) methods, are often employed to model nonlinear ...
Q. W. Ma, Yan Zhou, S. Yan
semanticscholar +1 more source
Propellants, Explosives, Pyrotechnics, Volume 51, Issue 3, Page 446-455, March 2026.A low‐speed impact (around one meter per second) of a metallic tip on an explosive confined by a thin plate is simulated. The heat due to friction between the tip and the plate and the one due to the deformation of the plate are not transfered to the ignited zone.
Lucas Bonneau, Didier Picart
wiley +1 more source
Collocated Discrete Least Squares Meshless (CDLSM) Method for Simulation of Mobile- Bed Dam Break Problems [PDF]
مهندسی منابع آب, 2018 Meshless methods have been added to numerical methods in recent decades, and have provided a wide range of scientific, research and engineering fields.
Babak Fazli Malidareh +1 more
doaj
Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method
Mathematics, 2022 The applications of the Eikonal and stationary heat transfer equations in broad fields of science and engineering are the motivation to present an implementation, not only valid for structured domains but also for completely irregular domains, of the ...
Jesús Flores +5 more
doaj +1 more source
Meshless methods: A review and computer implementation aspects
Mathematics and Computers in Simulation, 2008 The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse.
Vinh Phu Nguyen +3 more
semanticscholar +1 more source
Engineering Reports, Volume 8, Issue 2, February 2026.This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai +4 more
wiley +1 more source
Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy +2 more
wiley +1 more source
, 2016 Purpose – A variety of meshless methods have been developed in the last 20 years with an intention to solve practical engineering problems, but are limited to small academic problems due to associated high computational cost as compared to the standard ...
Z. Ullah, W. Coombs, C. Augarde
semanticscholar +1 more source