1 AIT Asian Institute of Technology

A genetic algorithm for selecting optimal parameters in the Meshless Local Petrov-Galerkin method

AuthorTanan Chub-uppakarn
Call NumberAIT Thesis no.ST-03-17
Subject(s)Genetic algorithms
NoteA thesis submitted in partial fulfillment of the thesis requirement for the degree of Master of Engineering
PublisherAsian Institute of Technology
AbstractMeshless methods have become very attractive and efficient for the development of adaptive methods for solving boundary value problems because nodes can be easily added and removed without a burdensome remeshing of element. The meshless local Petrov-Galerkin method approach, based on the local symmetric weak form and the moving least squares approximation, is a truly numerical meshless method for solving boundary value problems. This work employs polygonal nodal sub-domains constructed from several triangular patches rather than the typically used circular sub-domains is presented. The moving least-squares approximation and lagrange interpolation functions are used as the trial function and test functions respectively. This method aims to decrease the error of solution but many parameters of MLPG have an effect to the accuracy of the numerical solution such as x and y coordinates of nodal points, radius of influence. The presence of many parameters and complex process for obtaining the solution make finding difficult or possibility to solve using traditional algorithms. GAs has emerged as an efficient technique in handling for many parameters and complex process for obtaining the solution of elastostatic 2D problem. GAs is a search optimal solution process which is set by objective functions. The objective function consists of the L2 norm of displacement error and the ratio between gauss integration points in problem domain with node have effect on this gauss point integration because aim of this work want to reduce computation time and increase accuracy.
Year2003
TypeThesis
SchoolSchool of Engineering and Technology (SET)
DepartmentDepartment of Civil and Infrastucture Engineering (DCIE)
Academic Program/FoSStructural Engineering (STE) /Former Name = Structural Engineering and Construction (ST)
Chairperson(s)Barry, William
Examination Committee(s)Worsak Kanok-Nukulchai;Pennung Wamitchai
Scholarship Donor(s)RTG Fellow Scholarship
DegreeThesis (M.Eng.) - Asian Institute of Technology, 2003


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