Local maximum entropy approximation-based streamline upwind Petrov–Galerkin meshfree method for convection–diffusion problem

Maximum-Entropy Meshfree Method for Compressible and Near-Incompressible Elasticity

Numerical integration errors and volumetric locking in the near-incompressible limit are two outstanding issues in Galerkin-based meshfree computations. In this paper, we present a modified Gaussian integration scheme on background cells for meshfree methods that alleviates errors in numerical integration and ensures patch test satisfaction to machine precision. Secondly, a lockingfree small-st...

Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods

We present a one-parameter family of approximation schemes, which we refer to as local maximumentropy approximation schemes, that bridges continuously two important limits: Delaunay triangulation and maximum-entropy (max-ent) statistical inference. Local max-ent approximation schemes represent a compromise—in the sense of Pareto optimality—between the competing objectives of unbiased statistica...

Maximum-entropy meshfree coordinates in computational mechanics

Maximum-entropy meshfree method for nonlinear static analysis of planar reinforced concrete structures

A meshfree method for nonlinear analysis of two-dimensional reinforced concrete structures subjected to monotonic static loading is presented. The concrete model is implemented in the context of the smeared rotating crack approach. The stress-strain relationship for steel bars accounts for the surrounding concrete bonded to the bar (tension stiffening effect). The principle of virtual work (var...

A Maximum Entropy Method for a Robust Portfolio Problem

We propose a continuous maximum entropy method to investigate the robust optimal portfolio selection problem for the market with transaction costs and dividends. This robust model aims to maximize the worst-case portfolio return in the case that all of asset returns lie within some prescribed intervals. A numerical optimal solution to the problem is obtained by using a continuous maximum entrop...