In this paper, a novel hybrid collocation scheme based on the generalized finite difference
method (GFDM) and the Burton–Miller singular boundary method (BMSBM) is developed to …

In this article, we propose to investigate numerically the steady bifurcation points and
bifurcated branches in fluid mechanics by employing high‐order mesh‐free geometric …

In this work, we propose a new high order algorithm based on the coupling of Radial Point
Interpolation Method (RPIM) and a high order continuation to solve the geometrically …

This work deals with nonlinear geometric functionally graded material (FGM) sandwich
plates under various nonuniform compressions in the context of the high-order shear …

Buckling and wrinkling of thin structures often lead to very complex response curves that are
hard to follow by standard path-following techniques, especially for very thin membranes in …

An efficient numerical model is developed in this work for the bifurcation analysis within
Föppl-von Karman plate theory. This procedure is based on the use of the method of …

In this paper, we propose for the first time to extend the application field of the high‐order
mesh‐free approach to the stationary incompressible Navier‐Stokes equations. This …

Steady-state two-dimensional lid-driven square cavity flows at high Reynolds numbers are
solved in this communication using a velocity-based formulation developed in the context of …

In this paper we present a numerical approach to solve the Navier-Stokes equations on
moving domains with second-order accuracy. The space discretization is based on the ghost …

In this work a promising meshfree numerical approach is extended and implemented for the
first time in the field of linear static elasticity. A real meshfree method, the so called Finite …