Adaptive Mesh Computation of a Shell-Like Problem with Singular Layers
Cleber Abrahão de Souza, Dominique Leguillon, É. Sanchez-Palencia · International Journal for Multiscale Computational Engineering · 2003
Solutions to very thin shell problems exhibit in some cases singularities that propagate along given characteristic lines. Often, deformation and energy concentrate along such curves (singular layers); so, an accurate computation needs much refinement in these regions. Herein, we propose an adaptive mesh procedure for solving a model problem (allowing explicit description of the singularities) corresponding to these kind of situations. It generates elements which are, in the layer region, small and elongated.