A residual based error estimator using radial basis functions
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
On a two-level element-free Galerkin method for incompressible fluid flow
Applied Numerical Mathematics
Multicloud: Multigrid convergence with a meshless operator
Journal of Computational Physics
Short Note: A moving-least-squares reconstruction for embedded-boundary formulations
Journal of Computational Physics
Finite Elements in Analysis and Design
Variational multiscale element-free Galerkin method for 2D Burgers' equation
Journal of Computational Physics
A stabilized MLPG method for steady state incompressible fluid flow simulation
Journal of Computational Physics
Journal of Computational Physics
Compact RBF meshless methods for photonic crystal modelling
Journal of Computational Physics
Variational multiscale element free Galerkin method for the water wave problems
Journal of Computational Physics
A singular cell-based smoothed radial point interpolation method for fracture problems
Computers and Structures
Implicit fully mesh-less method for compressible viscous flow calculations
Journal of Computational and Applied Mathematics
An implicit RBF meshless approach for time fractional diffusion equations
Computational Mechanics
Error-controlled global sensitivity analysis of ordinary differential equations
Journal of Computational Physics
Environmental Modelling & Software
Meshless simulation of plastic deformation and crack
Transactions on Edutainment VIII
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
An improved truly meshless method based on a new shape function and nodal integration
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Super linear speedup in a local parallel meshless solution of thermo-fluid problems
Computers and Structures
Solving numerical difficulties for element-free Galerkin analyses
Computational Mechanics
Modelling and Simulation in Engineering
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This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. It provides first the fundamentals of numerical analysis that are particularly important to meshfree methods. Typical meshfree methods, such as EFG, RPIM, MLPG, LRPIM, MWS and collocation methods are then introduced systematically detailing the formulation, numerical implementation and programming. Many well-tested computer source codes developed by the authors are attached with useful descriptions. The application of the codes can be readily performed using the examples with input and output files given in table form. These codes consist of most of the basic meshfree techniques, and can be easily extended to other variations of more complex procedures of meshfree methods. Readers can easily practice with the codes provided to effective learn and comprehend the basics of meshfree methods.