An Introduction to Unstructured Mesh Generation and Adaptation

Abstract: Analytic solutions for most PDEs are known only for some simple domains, such as a circle, square, or sphere. In order to obtain solutions for more realistic domains, numerical approximations such as the finite element method (FEM) and finite volume methods (FVM) are used. Mesh generation is a key step prior to these numerical methods. It is itself an active research topic with background in mathematics, computer science, and engineering. Apart from numerical solution of PDEs, its applications are numerous and have practical uses in fields such as archaeology, cinematography and robotics.

In this talk, we will begin with triangle mesh generation and adaptation in the plane. This problem has been well studied. Efficient algorithms are developed. We will then move to tetrahedral mesh generation in 3d, which is still challenged by many theoretical and practical issues. The introduced algorithms as well as examples will be demonstrated using two open source codes: Detri2 and TetGen, which are under developing by the author.
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Short Bio:

Hang Si is employed by Weierstrass Institute (WIAS) in Berlin. His main research is mesh generation and the discrete and
computational geometry problems behind it. The goal is to develop efficient algorithms for automatically generating tetrahedral meshes
suitable for numerical methods such as finite element and finite volume methods. He developed the software, TetGen, a Delaunay
tetrahedral mesh generator. It is freely available for academic use ( http://www.tetgen.org ).

Hang Si got his B.S. in Electrical Engineering in Hangzhou University (now merged in Zhejiang University) in 1994, and got his M.S. in
Computer Science in Zhejiang University in 2002. He joined the research group “Numerical Mathematics and Scientific Computing” of
WIAS in 2002. He received his Ph.D from the Institute of Mathematics of Technische Universitaet Berlin in 2008.

Date: Mar 28, 2019 at 15:00:00 h
Venue: Sala de Seminarios Beauchef 851, Torre Norte, Sala de Seminarios John Von Neumann CMM
Speaker: Hang Si
Affiliation: Weierstrass Institute (WIAS), Berlin
Coordinator: Joaquín Fontbona
Abstract:
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Posted on Apr 3, 2019 in Seminario CMM-Data & CMM-Mining, Seminars