For more information about this meeting, contact Mary Anne Raymond.
|Title:||Derivative-Free Optimization Algorithms for Mesh Quality Improvement|
|Seminar:||SIAM Student Chapter Seminar|
|Speaker:||Suzanne M. Shontz, Penn State University (CSE)|
|Meshes are generated for use in the numerical solution of partial differential
equations (PDEs), which arise in numerous science and engineering applications.
It is essential that the meshes be of high quality in that the quality of the
mesh affects the PDE solution accuracy as well as the execution time and
conditioning of the relevant linear solver. Mesh quality improvement is necessary when the mesh is of less than desirable quality (either from mesh generation or deformation).
In the first part of my talk, I will give an introduction to mesh quality
In the second part of my talk, I will describe two derivative-free methods for
mesh optimization, namely the pattern search (PS) and multidirectional search
(MDS) mesh quality improvement methods, to be used with nondifferential objective functions representing the overall mesh quality. Such objective functions arise when the goal of the mesh optimization problem is to improve the worst quality element in the mesh. I will present numerical results demonstrating the effectiveness of these techniques in improving the worst quality elements of several finite element meshes.|
Room Reservation Information
|Date:||04 / 12 / 2010|
|Time:||12:00pm - 01:15pm|