{"product_id":"an-improved-local-kriging-method-in-2d-elastostatics-von-thaung-htut-aung","title":"An Improved Local Kriging Method in 2D Elastostatics","description":"\u003cp\u003eThis study develops the Local Kriging Method which  is based on the local weak form of partial  differential equations for solving 2D elastostatics  problems. The weighted residual method is used to  derive the discretized system equations of the weak  form for each local sub-domain. The Kriging  interpolation is employed to construct the shape  functions for approximation of field variable. In  this study, the square shaped local sub-domains are  used to alleviate the background mesh for the  integration of local weak form over the local sub- domain. Two types of weight functions, which satisfy  the requirements of local weak form over the square  shaped sub-domain, are examined in this study. The  first one is FEM weight function which is  constructed by employing the FEM interpolation over  the fictitious nodes on the boundary of local sub- domain and the second one is Kriging weight function  which is constructed by employing the Kriging  interpolation over the fictitious nodes on the  boundary of local sub-domain. A number of benchmark  examples are presented to verify the efficiency and  accuracy of the present method.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838390130\"\u003e\u003ch3\u003eA Meshless Method based on Meshless Local Petrov-Galerkin Approach using Kriging Interpolation\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838390130","offer_id":39498950410333,"sku":"9783838390130","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/b7cdb9a9-41de-41bb-8055-ef19fc93290e.jpg?v=1755668800","url":"https:\/\/shop.autorenwelt.de\/products\/an-improved-local-kriging-method-in-2d-elastostatics-von-thaung-htut-aung","provider":"Autorenwelt Shop","version":"1.0","type":"link"}