Point interpolation methods based on weakened-weak formulations

A Normed G Space and Weakened Weak (w) Formulation of a Cell-based Smoothed Point Interpolation Method

This paper presents a normed G1 space and a weakened weak (W2) formulation of a cellbased smoothed point interpolation method (CS-PIM) for 2D solid mechanics problems using three-node triangular cells. Displacement fields in the CS-PIM are constructed using the point interpolation method (polynomial PIM or radial PIM) and hence the shape functions possess the Kronecker delta property facilitati...

Edge-based Smoothed Point Interpolation Methods

This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for solid mechanics using three-node triangular meshes. In the ES-PIM, displacement fields are construed using the point interpolation method (polynomial PIM or radial PIM), and hence the shape functions possess the Kronecker delta property, facilitates the enforcement of Dirichlet boundary conditions. Strains are ...

Accuracy Analysis of Precipitation Regionalization Methods Based on Spatial Interpolation Techniques in Zayandeh-Rud River Basin

In the present study, we used 27 precipitation average monthly data from synoptic, climatologic, rain-guage and evaporative stations located in Zayandeh-Rud river basin for the period of 1970-2014. Before interpolating, the missing data in the time series of each station was reconstructed by the normal ratio method. Also, for the data quality control, the Dickey-Fuller and Shapiro-Wilk tests we...

Semidefinite Programming : Formulations and Primal - Dual Interior - Point Methods

Weak Symmetries in Problem Formulations

In this article we will present some problems that have weak symmetries. In contrast to a proper symmetry, a weak symmetry acts only on a subset of the variables and preserves the feasibility state only with respect to a subset of the constraints. Therefore, breaking weak symmetries with standard techniques would lead to a loss of solutions. This article presents also a modelling technique whic...