The PCD Method on Composite Grid
نویسنده
چکیده
abstract: We introduce a discretization method of boundary value problems (BVP) in the case of the two dimensional diffusion equation on a rectangular mesh with refined zones. The method consists in representing the unknown distribution and its derivatives by piecewise constant distributions (PCD) on distinct meshes together with an appropriate approximate variational formulation of the exact BVP on this piecewise constant distributions space. This method, named the PCD method, has the advantage of producing the most compact possible discrete stencil. Here, we analyze and prove the convergence of the PCD method and determine upper bounds on its convergence rate.
منابع مشابه
Buckling and Postbuckling of Concentrically Stiffened Piezo-Composite Plates on Elastic Foundations
This research presents the modeling and analysis for the buckling and postbuckling behavior of sandwich plates under thermal and mechanical loads. The lay-up configurations of plates are laminated composite with concentric stiffener and surface mounted piezoelectric actuators. The plates are in contact with a three-parameter elastic foundation including softening and/or hardening nonlinearity. ...
متن کاملComparison of Stiffness and Failure Behavior of the Laminated Grid and Orthogrid Plates
The present paper investigates the advantages of a new class of composite grid structures over conventional grids. Thus far, a known grid structure such as orthogrid or isogrid has been used as an orthotropic layer with at most in-plane anisotropy. The present laminated grid is composed of various numbers of thin composite grid layers. The stiffness of the structure can be adjusted by choosing ...
متن کاملComparative Evaluation Of Post Obturation Materials On Reinforcement Of Peri-Cervical Dentin (PCD)-An Invitro Study
Aim: To evaluate invitro the effect of post obturation materials on reinforcement of peri-cervical dentin (PCD) Materials and Method : Sixty extracted, maxillary premolar teeth were selected.After preparation of standardized access, crowns were resected so that a final dimension of 4 mm from one mm below highest point of proximal cervical line was achieved. Then, the enamel was carefully remove...
متن کاملExperimental Study on Milling CFRP with Staggered PCD Cutter
Carbon fiber reinforced plastics (CFRP) have good physical properties, such as high specific strength and high specific modulus. However, cutting delamination, tearing and burr, etc. often occur in the machining process of CFRP, which results in the uncontrollability of machining surface quality and serious tool wear. In this paper, milling of CFRP with a staggered cutter was carried out, the c...
متن کاملAnt colony algorithm as a high-performance method in resource estimation using LVA field; A case study: Choghart Iron ore deposit
Kriging is an advanced geostatistical procedure that generates an estimated surface or 3D model from a scattered set of points. This method can be used for estimating resources using a grid of sampled boreholes. However, conventional ordinary kriging (OK) is unable to take locally varying anisotropy (LVA) into account. A numerical approach has been presented that generates an LVA field by calcu...
متن کامل