Mat-1.3656 Seminar on numerical analysis and computational science

Monday Nov 3, 2008, room U356 at 14.15, Eirola & Stenberg

Susumu Nakata

Meshfree analysis with 3D surface model

An aproach for solving partial differential equations using meshfree method will be presented. In this approach, the analysis is conducted without mesh structure of the analysis domain. The computation mainly consists of the following two steps.

1. Construction of 3D surface model
The shape of the problem domain is represented as an implicit function using a technique of computer graphics.

2. Meshfree analysis using radial basis functions
The analysis is conducted using a meshfree method based on radial point interpolation method. The way to combine it with the surface model will also be presented.