Research objectives: Spacetime discontinuous Galerkin methods nest local finite element solutions within an advancing-front mesh generation algorithm. Thus, our problem reduces to research on efficient patch-wise parallel mesh generation algorithms.

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• Research objectives Spacetime discontinuous
  Galerkin methods nest local finite element
  solutions within an advancing-front mesh
  generation algorithm. Thus, our problem reduces
  to research on efficient patch-wise parallel mesh
  generation algorithms.
• Approach Spacetime methods are set up in such a
  way that they are easy to parallelize.
• The solution on each patch depends only on
  inflow element data.
•  The amount of data per patch is small, making
  it inexpensive to send patch data to another
  processor.
• A Fem framework is used to handle the parallel
  details at runtime and to partition the space
  mesh.
• Significant results We have demonstrated
  scalable parallel performance for problems
  without adaptive mesh refinement on clusters of
  up to 64 processors with efficiencies as high as
  97. A load-balancing implementation for adaptive
  models is under development.
• Broader impact Adaptive mesh generation for
  time-dependent problems is an important step in
  many scientific applications. An efficient
  parallel algorithm that addresses adaptive mesh
  generation with an integrated solution procedure
  has the potential to benefit an extensive set of
  applications.