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Home / Graduate / M.S. Theses Completed
  Mehmet Balman, 2006  [download thesis]    

Thesis Title

Parallel Tetrahedral Mesh Refinement


The Adaptive Mesh Refinement is one of the main techniques used for the solution of Partial Differential Equations. Since 3-dimensional structures are more complex, there are few refinement methods especially for parallel environments. On the other hand, many algorithms have been proposed for 2-dimensional structures. We analyzed the Rivara's longest-edge bisection algorithm, studied parallelization techniques for the problem, and presented a parallel methodology for the refinement of non-uniform tetrahedral meshes. The proposed algorithm is practical for real-life applications and it is also scalable for large mesh structures. We describe a usable data structure for distributed environments and present a utility using the inter-process communication. The PTMR utility is capable of distributing the mesh data among processors and it can accomplish the refinement process within acceptable time limits.
Boğaziçi University Department of Computer Engineering
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