Multi-pass hot-rolling simulation using a meshless method
Keywords: روش های بی نظیر; Hot rolling; Meshless methods; Radial basis functions; Plastic deformation; Slice model;
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Two algorithms for fast 2D node generation: Application to RBF meshless discretization of diffusion problems and image halftoning
Keywords: روش های بی نظیر; Meshless methods; Local RBF; Node/point generation algorithms; Quadtree; Dithering; Stippling;
Meshless methods for one-dimensional oscillatory Fredholm integral equations
Keywords: روش های بی نظیر; Meshless methods; Fredholm integral equations; Levin's quadrature; Local radial basis function differentiation matrix; Chebyshev global differentiation matrix;
Three-dimensional complex variable element-free Galerkin method
Keywords: روش های بی نظیر; Meshless methods; Complex variable moving least squares approximation; Complex variable element-free Galerkin method; Error estimation; Three-dimensional problem; Wave equation;
A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
Keywords: روش های بی نظیر; Partial differential equations; Meshless methods; RBF collocation; Partition of unity approximation;
Bending Analysis of FGM Plates Under Thermal Load
Keywords: روش های بی نظیر; bending analysis; functionally graded materials; meshless methods; thermoelasticity;
The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM
Keywords: روش های بی نظیر; Meshless methods; Piezoelectric ceramics; Radial point interpolation method; Numerical simulation;
Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation
Keywords: روش های بی نظیر; Meshless methods; Generalized moving least squares approximation; Meshless local Petrov-Galerkin method; DMLPG technique;
The finite element method with overlapping elements - A new paradigm for CAD driven simulations
Keywords: روش های بی نظیر; Finite elements; Meshless methods; Overlapping elements; Meshing; CAD; Geometry clean-up;
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
Keywords: روش های بی نظیر; Meshless methods; Local radial basis functions collocation method; Local strong form; Cahn-Hilliard equation; Swift-Hohenberg equation; Phase field crystal equation; 65M60; 65L60; 65M20;
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition
Keywords: روش های بی نظیر; Time fractional Tricomi-type equation; Element free Galerkin (EFG) method; Reproducing kernel particle method (RKPM); Unconditional stability; Convergence and error estimate; Meshless methods;
Adaptive RBF-FD method for elliptic problems with point singularities in 2D
Keywords: روش های بی نظیر; RBF-FD; Meshless methods; Generalized finite differences;
SPH energy conservation for fluid-solid interactions
Keywords: روش های بی نظیر; Particle methods; Meshless methods; Smoothed Particle Hydrodynamics; Energy balance; Numerical dissipation; Fluid-solid interaction;
Un método sin malla y estabilizado para la resolución de las ecuaciones lagrangianas de los fluidos newtonianos
Keywords: روش های بی نظیر; Métodos sin malla; Estabilización; Fluidos lagrangianos; Meshless methods; Stabilization; Lagrangian fluids;
Error bounds for GMLS derivatives approximations of Sobolev functions
Keywords: روش های بی نظیر; Meshless methods; MLS approximation; GMLS approximation; Diffuse derivatives; DMLPG methods; Error bounds
A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs
Keywords: روش های بی نظیر; Meshless methods; Radial basis functions; Method of fundamental solutions; Inverse heat source problem; Time-dependent heat source problems; Tikhonov regularization (TR); Ill-posed problems
Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars
Keywords: روش های بی نظیر; Radial basis functions; Meshless methods; Elastoplasticity; Torsion
High-accurate SPH method with Multidimensional Optimal Order Detection limiting
Keywords: روش های بی نظیر; High-order methods; Smooth Particle Hydrodynamics; Meshless methods; Multi-dimensional Optimal Order Detection; Moving Least Squares
Simulating 2D viscous flow around geometries with vertices through the Diffused Vortex Hydrodynamics method
Keywords: روش های بی نظیر; Vorticity dynamics; Vortex method; Particle methods; Meshless methods; Diffused Vortex Hydrodynamics; Flow around geometrical singularities
Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation
Keywords: روش های بی نظیر; 65L60; 65M60; 65N30; Meshless methods; Variational multiscale element free Galerkin meshless method; Proper orthogonal decomposition method; Incompressible Navier-Stokes equation;
DMLPG solution of the fractional advection–diffusion problem
Keywords: روش های بی نظیر; Meshless methods; Generalized moving least squares (GMLS) approximation; DMLPG method; Fractional differential equations
On the similarity of meshless discretizations of Peridynamics and Smooth-Particle Hydrodynamics
Keywords: روش های بی نظیر; Meshless methods; Peridynamics; Smooth-Particle Hydrodynamics
Unconditionally stable meshless integration of time-domain Maxwell’s curl equations
Keywords: روش های بی نظیر; ADI leapfrog method; Meshless methods; Smoothed particle electromagnetics
Solving time-dependent differential equations by multiquadric trigonometric quasi-interpolation
Keywords: روش های بی نظیر; Quasi-interpolation; Multiquadric trigonometric functions; Numerical solution of differential equations; Meshless methods; Divided differences
A meshless adaptive multiscale method for fracture
Keywords: روش های بی نظیر; Meshless methods; Multiscale; Fracture; Molecular dynamics;
An adaptive node regeneration technique for the efficient solution of elasticity problems using MDLSM method
Keywords: روش های بی نظیر; Mixed discrete least squares; Meshless methods; Adaptive refinement; Node regeneration; Re-noding
Energy balance in the δδ-SPH scheme
Keywords: روش های بی نظیر; Particle methods; Meshless methods; Smoothed particle hydrodynamics; Energy balance; Numerical dissipation; Validation
Numerical simulation of 2D-vorticity dynamics using particle methods
Keywords: روش های بی نظیر; Vorticity dynamics; Vortex method; Particle methods; Meshless methods; Smoothed Particle Hydrodynamics method; Diffused Vortex Hydrodynamics
A new hierarchical partition of unity formulation of EFG meshless methods
Keywords: روش های بی نظیر; Meshless methods; Element free Galerkin (EFG); Hierarchical shape functions; Adaptivity;
An algorithm to improve consistency in Smoothed Particle Hydrodynamics
Keywords: روش های بی نظیر; Smoothed Particle Hydrodynamics (SPH); Meshless methods; Lagrangian methods; Consistency restoration;
An efficient accurate Local Method of Approximate Particular Solutions for solving convection–diffusion problems
Keywords: روش های بی نظیر; Particular solutions; Radial basis functions; Convection–diffusion equation; Meshless methods
Meshless techniques for anisotropic diffusion
Keywords: روش های بی نظیر; Meshless methods; MLPG; Generalized Moving Least Squares; Anisotropic diffusion; Locking
Localized method of approximate particular solutions with Cole–Hopf transformation for multi-dimensional Burgers equations
Keywords: روش های بی نظیر; Burgers equations; Cole–Hopf transformation; Diffusion equation; Meshless methods; Irregular domain; Localized method of approximate particular solutions
ESFM: An Essential Software Framework for Meshfree Methods
Keywords: روش های بی نظیر; Meshfree methods; Meshless methods; Software framework; Object-oriented design; Design pattern; Weak-form
Kansa method for the solution of a parabolic equation with an unknown spacewise-dependent coefficient subject to an extra measurement
Keywords: روش های بی نظیر; Meshless methods; Radial basis functions; Inverse problem; One-dimensional parabolic equation; Heat source; Cartesian nodes; Unknown spacewise-dependent coefficient; Stability analysis;
The localized RBFs collocation methods for solving high dimensional PDEs
Keywords: روش های بی نظیر; Localized RBF collocation method; Radial basis functions; Meshless methods; Method of approximate particular solutions; Kansa's method
A BEM-based meshless solution to buckling and vibration problems of orthotropicplates
Keywords: روش های بی نظیر; Orthotropic plate; Buckling; Free vibrations; Analog equation method; Boundary element method; Meshless methods
A local integral equation formulation to solve coupled nonlinear reaction–diffusion equations by using moving least square approximation
Keywords: روش های بی نظیر; Meshless methods; Local integral equations; Coupled nonlinear reaction–diffusion equations; Moving least squares
Application of the RBF meshless method to laminar flame propagation
Keywords: روش های بی نظیر; RBF method; Laminar flame propagation; Meshless methods
Analysis of Mindlin micro plates with a modified couple stress theory and a meshless method
Keywords: روش های بی نظیر; Mindlin plates; Couple stress theory; Meshless methods
Meshless solution of axisymmetric convection–diffusion equation: A comparison between two alternative RBIE implementations
Keywords: روش های بی نظیر; Axisymmetric; Convection–diffusion equation; Meshless methods; Radial basis functions; Integral equation; Fundamental solution
Radial basis functions collocation for the bending and free vibration analysis of laminated plates using the Reissner-Mixed Variational Theorem
Keywords: روش های بی نظیر; Meshless methods; Laminated plates; Vibrations
A global meshless collocation particular solution method (integrated Radial Basis Function) for two-dimensional Stokes flow problems
Keywords: روش های بی نظیر; Particular solutions; Stokes flows; Radial Basis Functions; Meshless methods
Subspace analysis to alleviate the volumetric locking in the 3D solid-shell EFG method
Keywords: روش های بی نظیر; Meshless methods; EFG; B-bar; EAS; Subspace analysis
Evaluation of meshless radial basis collocation method (RBCM) for heterogeneous conduction and simulation of temperature inside the biological tissues
Keywords: روش های بی نظیر; Meshless methods; Strong form collocation methods; Radial basis functions; Subdomain radial basis collocation method; Heterogeneous heat conduction; Bioheat transfer; Pennes bioheat equation; Average relative error
The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
Keywords: روش های بی نظیر; Time fractional; Nonlinear Schrödinger equation; Kansa method; Radial basis functions (RBFs); Interpolation method; Fractional quantum mechanics; Meshless methods
Strong form Meshless Implementation of Taylor Series Method
Keywords: روش های بی نظیر; Meshless methods; Taylor series; Element free method; Strong form
On the ill-conditioning in the new higher order multipoint method
Keywords: روش های بی نظیر; Higher order approximation; Multipoint method; Ill-conditioning; Regularization; Meshless methods;
A generalized moving least square reproducing kernel method
Keywords: روش های بی نظیر; 35K35; 46E22; 35C15; 35K05; 65M15Polynomial reproduction; Moving least square method; Reproducing kernel method; Meshless methods
Simultaneous control of solidus and liquidus lines in alloy solidification
Keywords: روش های بی نظیر; Inverse analysis; Solidification; Meshless methods; Solidus; Liquidus; Alloy