A goal oriented optimization technique for tetrahedral grids using a continuous-mesh model

We have previously proposed a metric-based anisotropic adaption method for tetrahedral grids. In the present paper, we extend our method to goal oriented adaptation. Target-based adaptation is realized using a suitable adjoint-based error estimate for three-dimensional continuous mesh models. The ultimate goal is a parameter free framework, leading to nearoptimal anisotropy, and size distribution in the discrete mesh, which is generated from the continuous mesh model. The intended area of application is higher order (discontinuous)� Galerkin schemes for convection-diffusion problems. We present the theory for the adaptation method and some numerical results.

Duke Scholars

Author Georg May DKU Faculty