Introduction to algorithms
Quality local refinement of tetrahedral meshes based on bisection
SIAM Journal on Scientific Computing
MPI-The Complete Reference, Volume 1: The MPI Core
MPI-The Complete Reference, Volume 1: The MPI Core
Distributed dynamic hash tables using IBM LAPI
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
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A grid refinement scheme has been developed for tetrahedral and triangular grid-based calculations in message-passing environments. The element adaption scheme is based on edge bisection of elements marked for refinement by an appropriate error indicator. Hash table/linked list data structures are used to store nodal and element information. The grid along inter-processor boundaries is refined consistently with the update of these data structures via MPI calls. The parallel adaption scheme has been applied to the solution of an unsteady, three-dimensional, nonlinear, groundwater flow problem. Timings indicate efficiency of the grid refinement process relative to the flow solver calculations.