In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

Convergent and stable domain integration that is also computationally efficient remains a
challenge for Galerkin meshfree methods. High order quadrature can achieve stability and …

Because most approximation functions employed in meshfree methods are rational
functions with overlap** supports, sufficiently accurate domain integration becomes costly …

The reproducing kernel gradient smoothing integration (RKGSI) is an efficient technique to
tackle the integration problem and optimal convergence in meshless methods. In this paper …

In this paper, we develop a method based on local maximum entropy shape functions
together with enrichment functions used in partition of unity methods to discretize problems …

Cardiac modeling has recently emerged as a promising tool to study pathophysiology
mechanisms and to predict treatment outcomes for personalized clinical decision support …

This article investigates the numerical solution of the nonlinear integro-differential equations.
The numerical scheme developed in the current paper is based on the moving least square …

Quadrature schemes are constructed based on moment fitting equations to integrate
polynomials over arbitrary convex/concave volumes that arise, among others, in Enriched …

In this paper, a high order mesh-free method is investigated for buckling and post-buckling
analysis of shells subjected to external loadings. This high order mesh-free method is built …

Numerical integration poses greater challenges in Galerkin meshless methods than finite
element methods owing to the non-polynomial feature of meshless shape functions. The …