Author(s)

Qian Tang^1*, Yu Ren²

¹Department of Mechanical Engineering, Hunan Institute of Engineering, Xiangtan, China.
²Department of Technological Research and Development, Jerymart Material Limited, Changsha, China.

In recent years, due to the rapid development of computer hardware and the urgent need of complex engineering problems, great support has been provided in the related fields of unstructured mesh generation. A large number of research results show that the adaptive analysis is an effective way to improve the efficiency and precision of the numerical calculation. The reliable error estimation and the powerful mesh generation are two key problems in the process of adaptive numerical analysis. H-type refinement strategy adding the new nodes in the high error area, gradually refines the mesh to reduce the size of the element to achieve the purpose of mesh adaptation; this strategy is simple, intuitive and easy to program. Although the calculation accuracy of unstructured triangle and tetrahedron elements is not high, these elements are suitable for discretization of any complex problem domain, and have a wider range of application in academic and engineering fields.

Adaptive Analysis, Delaunay, Refinement, Triangle, Tetrahedron

Tang, Q. and Ren, Y. (2020) Preliminary Discussion on the Refinement Mesh Generation for Adaptive Analysis. Journal of Applied Mathematics and Physics, 8, 1560-1567. doi: 10.4236/jamp.2020.88121.