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 …

The literature about the asymptotic numerical method (ANM) is reviewed in this paper as
well as its application to hyperelasticity and elastoplasticity. ANM is a generic continuation …

This paper presents the outcome of power series analysis in the framework of the Asymptotic
Numerical Method. We theoretically demonstrate and numerically evidence that the …

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 …

Wrinkling phenomena of stiff thin films on compliant substrates are investigated based on a
non-linear finite element model. The resulting non-linear equations are then solved by the …

This work deals with forced vibration of nonlinear rotating anisotropic beams with uniform
cross sections. Coupling the Galerkin method with the balance harmonic method, the …

This paper deals with the numerical study of bifurcations in the two-dimensional (2D) lid-
driven cavity (LDC). Two specific geometries are considered. The first geometry is the two …

In this paper, we study the bending nonlinear free vibrations of a centrifugally stiffened beam
with uniform cross-section and constant angular velocity. The nonlinear intrinsic equations of …

This paper presents a powerful numerical model that implements the Asymptotic Numerical
Method to compute 3D steady-state incompressible fluid flow solutions. This continuation …

This paper deals with bifurcation analysis methods based on the asymptotic‐numerical
method. It is used to investigate 3‐dimensional (3D) instabilities in a sudden expansion. To …