| Author | Nguyen Dinh Khoa |
| Call Number | AIT Thesis no.ST-03-32 |
| Subject(s) | Collocation methods
Boundary value problems
|
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of
Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Series Statement | Thesis ; no. ST-03-32 |
| Abstract | A point collocation method based on the point collocation weighted residual method is
extended and formulated for problems in three-dimensional elastostatics. The method is a
point-based meshless method since the governing equations are satisfied in only a set of
collocation points and no integration is required. The moving least-squares (MLS)
approximations using exponential weight functions and variable domains of influence are
utilized to efficiently construct shape functions and shape function derivatives. Several
improvements are taken to overcome some troublesome issues from the use of the point
collocation weighted residual method such as the prescription of the vectors normal to the
boundary, the necessity to employ a stabilization procedure, and the inconsistency due to
the usage of the weighted least-squares approximation. A direct solution technique using
LU decomposition and an iterative solution technique based on the Iterative Moving Least-Squares
method are applied and verified. Several troublesome issues that arise from the
application of the Iterative Moving Least-Squares method are also addressed. To verify the
accuracy and efficiency of the method, several numerical examples are presented. Results
are compared to the available analytical solutions. |
| Year | 2003 |
| Corresponding Series Added Entry | Asian Institute of Technology. Thesis ; no. ST-03-32 |
| Type | Thesis |
| School | School of Engineering and Technology |
| Department | Department of Civil and Infrastucture Engineering (DCIE) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Barry, William; |
| Examination Committee(s) | Pennung Warnitchai ;Pichai Nimityongskul; |
| Scholarship Donor(s) | Government of Vietnam; |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 2003 |
