Error estimated driven anisotropic mesh refinement for three-dimensional diffusion simulation

Abstract

We present a computational method for locally adapted conformal anisotropic tetrahedral mesh refinement. The element size is determined by an anisotropy function which is governed by an error estimation driven ruler according to an adjustable maximum error. Anisotropic structures are taken into account to reduce the amount of elements compared to strict isotropic refinement. The spatial resolution in three-dimensional unstructured tetrahedral meshes for diffusion simulation can be dynamically increased.