23rd International Meshing Roundtable (IMR23) Generation of Hierarchical Tetrahedral Meshes with High-Order Projections for Efficient Multigrid Solvers

We investigate the problem of generating hierarchical unstructured meshes through uniform mesh refinement for efficient solution of PDEs using finite element methods and multigrid solvers. To ensure high accuracy along curved boundaries, we utilize highorder surface reconstruction and projection, without requiring a CAD model. The resulting mesh is then used with a Hybrid Geometric+Algebraic (HyGA) multigrid method. We describe the data structure and software requirements, and present numerical results to demonstrate the accuracy and efficiency of multigrid finite-element solver with the proposed techniques. c 2014 The Authors. Published by Elsevier Ltd. Peer-review under responsibility of organizing committee of the 23rd International Meshing Roundtable (IMR23).