Generation of Hierarchical Tetrahedral Meshes with High-Order Projections for Efficient Multigrid Solvers
Lu, Cao, Xinglin Zhao, Navamita Ray, Xiangmin Jiao
23rd International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-15 2014
23rd International Meshing Roundtable
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794, USA.
Mathematics and Computer Science, Argonne National Laboratory, Argonne, IL 60439, USA
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 high- order 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.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article