Mesh rezoning of 2D isoparametric elements by inversion
Richard Crawford, David C. Anderson, Warren Waggenspack · International Journal for Numerical Methods in Engineering · 1989
Abstract A new algorithm is presented for performing mesh rezoning on isoparametric elements used in simulations of non‐linear deformation processes. The method uses techniques from elimination theory to solve the parametric inversion problem for each node on the new, undistorted mesh. These parameter values are then used in the elemental shape functions to transfer the nodal state variables from the distorted mesh to each node in the new mesh by interpolation. The method has been implemented for bilinear and biquadiatic elements. The method is based on fundamental finite element approximations, since the interpolation functions which define the element are also used to perform rezoning.