2D FE quad mesh smoothing via angle-based optimization

Abstract

A new mesh smoothing algorithm that can improve quadrilateral mesh quality is presented. Poor quality meshes can produce inaccurate finite element analysis; their improvement is important. The algorithm improves mesh quality by adjusting the position of the mesh's internal nodes based on optimization of a torsion spring system using a Gauss-Newton-based approach. The approach obtains a reasonably optimal location of each internal node by optimizing the spring system's objective function. The improvement offered by applying the algorithm to real meshes is also exhibited and objectively evaluated using suitable metrics. © Springer-Verlag Berlin Heidelberg 2005.