Recent experiences with adaptive mesh optimization and a-posteriori error estimation
This paper outlines our recent experiences with mesh optimization and error estimation techniques on grids of triangles and quadrilaterals. The finite-element meshes are adapted by using refinement, remeshing, or a combination of both. The refinement or remeshing algorithms are combined with mesh enrichment into h-p-methods. Several algorithms for error estimation are implemented namely element-residual, flux-projection and extrapolation methods. Several model problems are used to demonstrate the various methodologies including scalar elliptic, parabolic, hyperbolic problems and the equations of plane linear elastostatics.
American Society of Mechanical Engineers (Paper)
author list (cited authors)
Strouboulis, T., Haque, K. A., & Mahmoud, M. F.
complete list of authors
Strouboulis, T||Haque, KA||Mahmoud, MF