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 near- optimal 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.

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Recommended citation: Ajay Rangarajan, Ankit Chakraborty, Georg May. (2019). "A goal oriented optimization technique for tetrahedral grids using a continuous-mesh model." AIAA Scitech 2019 Forum, 2019, 2019-0349.