Meshless methods coupled with other numerical methods

Meshless Methods Coupled with Other Numerical Methods

Meshless or mesh-free (or shorten as MFree) methods have been proposed and achieved remarkable progress over the past few years. The idea of combining MFree methods with other existing numerical techniques such as the finite element method (FEM) and the boundary element method (BEM), is naturally of great interest in many practical applications. However, the shape functions used in some MFree m...

Concerns Coupled with Pedestrianization and Implementation Methods

Walking has always been the most natural, the oldest, and the most essential form of transportation and is still major form of moving, hence, it plays a vital rule in urban transportation. In fact, walking is the most important tool for seeing, being seen, observing city wide daily and social activities, discovering the values and hidden attractions in urban environment, and therefore, feeling ...

Kernel–Based Meshless Methods

2 Kernels 1 2.1 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2.2 Positive Definiteness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 General Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Inner Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.5 Dualit...

Kernel Based Meshless Methods

Numerical Multiscale Methods for Coupled Oscillators

A multiscale method for computing the effective slow behavior of a system of weakly coupled general oscillators is presented. The oscillators may be either in the form of a periodic solution or a stable limit cycle. Furthermore, the oscillators may be in resonance with one another and thereby generate some hidden slow dynamics. The proposed method relies on correctly tracking a set of slow vari...