We present an algorithm for hp-adaptive collocation-based mesh-free numerical analysis of
partial differential equations. Our solution procedure follows a well-established iterative …

In this work, an extended multiphase hybrid-stress finite element method (X-MHSFEM) is
developed to investigate the stress intensity factor, kinking angle, and propagation path of …

The growth of dendritic grains during solidification is often modelled using the Grain
Envelope Model (GEM), in which the envelope of the dendrite is an interface tracked by the …

This paper aims to analyze a novel localized radial basis function method known as
the'direct RBF-based partition of unity method'for solving nonlinear fractional parabolic …

A boundary point interpolation method (BPIM) is presented in this paper for numerical
solving acoustic problems. The BPIM is a boundary-type meshless method that combines …

Meshfree Lagrangian frameworks for free surface flow simulations do not conserve fluid
volume. Meshfree particle methods like SPH are not mimetic, in the sense that discrete mass …

Abstract The Newton-Raphson iterative scheme is a widely used technique for modeling the
non-linear problems, but it is well known that the scheme is unstable and the convergence …

When solving partial differential equations on scattered nodes using the Radial Basis
Function generated Finite Difference (RBF-FD) method, one of the parameters that must be …

We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on
domains whose boundaries are represented as computer-aided design (CAD) models, more …

This thesis deals with the numerical solution of partial differential equations via the radial
basis function-finite difference (RBF-FD) method and the iterative solution of the arising …