Results 61 to 70 of about 7,438 (209)
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 +9 more
wiley +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
Meshfree method for fluctuating hydrodynamics [PDF]
Mathematics and Computers in Simulation, 2012 17 pages, 2 ...
Pandey, Anamika +2 more
openaire +2 more sources
A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi +2 more
wiley +1 more source
Full-Vectorial Meshfree Spectral Method for Optical-Waveguide Analysis
IEEE Photonics Journal, 2013 A full-vectorial multidomain spectral method (MDSM) for optical modal analysis is developed and presented. The formulation is based on considering the coupling between the transverse magnetic (TM) field components as the other electromagnetic components ...
Fahhad Alharbi
doaj +1 more source
Engineering Reports, Volume 7, Issue 10, October 2025.The 2D, steady, laminar forced convection of a Carreau hybrid nanofluid (MgO–Ag/water) in a modified T‐shaped cavity with two outlets and a bottom inlet is investigated numerically in current work. The cold nanofluid enters from the inlet at the bottom with Tc$$ {T}_c $$ and velocity uc$$ {u}_c $$, while the vertical L‐shaped walls (W1$$ {W}_1 $$ and ...
Inayat Ullah +5 more
wiley +1 more source
MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
doaj +1 more source
Enriched Meshfree Method for an Accurate Numerical Solution of the Motz Problem
Advances in Mathematical Physics, 2016 We present an enriched meshfree solution of the Motz problem. The Motz problem has been known as a benchmark problem to verify the efficiency of numerical methods in the presence of a jump boundary data singularity at a point, where an abrupt change ...
Won-Tak Hong
doaj +1 more source
Fast and flexible interpolation via PUM with applications in population dynamics
, 2015 In this paper the Partition of Unity Method (PUM) is efficiently performed using Radial Basis Functions (RBFs) as local approximants. In particular, we present a new space-partitioning data structure extremely useful in applications because of its ...
Cavoretto, Roberto +2 more
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Natural Sciences, Volume 5, Issue 4, October 2025.The study presented investigates the thermo‐mechanical behavior of a sandwich structure with a tetrachiral‐shaped auxetic core. The geometric configuration, unit cell architecture, and the influence of the material length scale on the effective stiffness under temperature variation are illustrated.
Mustafa Buğday
wiley +1 more source