Improved Geometric Modeling Using the Method of Fundamental Solutions
Document Type
Article
Publication Date
9-1-2021
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
In this paper, we propose a new geometric model that includes a fourth-order partial differential equation (PDE) for reconstructing 2D curves. For instance, we use this model to reproduce letters in Time Roman font. The method of fundamental solutions (MFS), which is a simple and easily implemented meshless method, is employed for solving the proposed PDEs. In addition, no fictitious boundary is required for the proposed MFS formulation, which further simplifies the implementation of the numerical method. Three examples of 2D curve reproduction are presented to demonstrate the effectiveness of the proposed model.
Publication Title
Engineering Analysis with Boundary Elements
Volume
130
First Page
49
Last Page
57
Recommended Citation
Chen, C.,
Amuzu, L.,
Acheampong, K.,
Zhu, H.
(2021). Improved Geometric Modeling Using the Method of Fundamental Solutions. Engineering Analysis with Boundary Elements, 130, 49-57.
Available at: https://aquila.usm.edu/fac_pubs/18814