이방성 메쉬에 대한 이론적 연구

A Study on Theoretical aspects of Anisotropic meshing

It is not always convenient to consider isotropic meshes where the edge length depends on the orientation of the edge. It is desirable to go for anisotropic mesh strategy instead. There are many instances where the solution shows directional features such as great variations along certain directions with less significant changes along other ones. Anisotropic meshes considered to be worthy in these cases. By using anisotropic elements we can resolve the solution accurately with few elements. Many techniques have been used as a common feature that the shape, size and orientation of the triangle elements are controlled by specifying metric tensor. This paper attempts at clear understanding of the estimation and equidistribution of the error and discusses the parameters like reliability and effectivity of an anisotropic mesh in a mathematical manner. Also we study some of applications of anisotropic mesh.