Challenges in Parallel Mesh Generation
It takes about ten to fifteen years to develop the algorithmic and software infrastructure for sequential industrial strength mesh generation libraries. Moreover, improvements in terms of quality, speed, and functionality are open ended and permanent which makes the task of delivering state-of-the-art parallel mesh generation codes even more difficult.
An area with immediate high benefits to parallel mesh generation is domain decomposition. The DD problem as it is posed in is still open for 3D geometries and its solution will help to deliver stable and scalable methods that rely on off-the-shelf mesh generation codes for Delaunay and Advancing Front Techniques.
Finally, a long term investment to parallel mesh generation is to attract the attention of mathematicians with open problems in mesh generation and broader impact in mathematics.
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