| Author | Soe Soe Tin |
| Call Number | AIT Thesis no.ST-02-12 |
| Subject(s) | Error analysis (Mathematics)
|
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of
Engineering |
| Publisher | Asian Institute of Technology |
| Abstract | A residual based posteriori error estimator, based on Galerkin weighted residual method, is
proposed in this study in conjunction with an Element-Free Galerkin Method (EFGM)
adaptive scheme. In the formulation of Galerkin residual equation, the residual error over
the entire domain was minimized by enforcing the error to vanish globally over the domain
with respect to Moving Least Square displacement function. This global error can localize
over individual cells or elements. Moving least square approximation is used as the trial
and test functions for formulation of Element Free Galerkin Method.
In the present adaptive scheme for EFGM, the size of DOI and integration cells used in the
adaptive EFGM scheme varied according to density of nodes in the domain. New nodes
will be added where accuracy is lower than specified value. Numerical tests confirm the
effectiveness of the proposed estimator in identifying where to add nodes, and in signaling
the end of the node refinement |
| Year | 2002 |
| Type | Thesis |
| School | School of Engineering and Technology (SET) |
| Department | Department of Civil and Infrastucture Engineering (DCIE) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Worsak Kanok-Nukulchai |
| Examination Committee(s) | Barry, William;Kim, Kidu |
| Scholarship Donor(s) | Asian Institute of Technology(Three Terms Fellowship) |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 2002 |