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Distributed parallel Delaunay mesh generation. (English) Zbl 0997.65137
Summary: The demand for larger meshes motivates the development of efficient parallel automatic mesh generators. A parallel mesh generator can make efficient use of multi-processor computers and of the widespread availability of workstation networks. In this paper distributed parallel unstructured mesh generation for two- and three-dimensional problems is demonstrated. Very large meshes up to 50 million elements have been generated on computers with medium sized resources.

MSC:
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
65Y05 Parallel numerical computation
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[1] Verhoeven, N.A.; Weatherill, N.P.; Morgan, K., Interim stage in the development of a parallel mesh generator, (), 51-54
[2] Hodgson, D.C.; Jimack, P.K.; Selwood, P.; Berzins, M., Scalable parallel generation of partitioned, unstructured meshes, ()
[3] Verhoeven, N.A.; Weatherill, N.P.; Morgan, K., Dynamic load balancing in a 2d parallel mesh generator, (), 641-648
[4] Weatherill, N.P., A method for generating irregular computational grids in multiply connected planar domains, Int. J. numer. methods fluids, 8, 181-197, (1988) · Zbl 0641.76057
[5] Simon, H., Partitioning of unstructured problems for parallel processing, Comput. syst. engrg., 2, 135-148, (1991)
[6] Farhat, C., A simple and efficient automatic f.e.m. domain decomposer, Comput. struct., 28, 2, 579-602, (1988)
[7] Karypis, G.; Kumar, V., Unstructured graph partitioning and sparce matrix ordering system, University of Minnesota, 1995
[8] Cabello, J., Parallel explicit unstructured grid solvers on distributed memory computers, ()
[9] Geist, A.; Beguelin, A.; Dongara, J.; Jiang, W.; Manchek, R.; Sunderam, V., ()
[10] Gropp, W.; Lusk, E.; Skjellum, A., Using MPI: portable parallel programming with the message passing interface, (1994), The MIT Press Oak Ridge, TN 37831
[11] N.A. Verhoeven, R. Said, N.P. Weatherill and K. Morgan, in: B.H.V. Topping, ed., Delaunay mesh generation on distributed computer platforms, Parallel and Distributed Processing for Computational Mechanics. To be published by Saxe-Coburg Publications, Edinburgh, Scotland. · Zbl 0997.65137
[12] De Cougny, H.L.; Shephard, M.S.; Oztruran, C., Parallel three-dimensional mesh generation, Comput. syst. engrg., 5, 4-6, 311-323, (1994)
[13] Topping, B.H.V.; Khan, A.I.; Wilson, J.K., Parallel dynamic relaxation and domain decomposition, (), 215-232
[14] Weatherill, N.P.; Gaither, A.J., Parallel unstructured grid generation, () · Zbl 0855.76061
[15] Morgan, K.; Brookes, P.J.; Hassan, O.; Weatherill, N.P., Parallel processing for the simulation of problems involving scattering of electro-magnetic waves, () · Zbl 1040.78527
[16] Peraire, J.; Vahdati, M.; Morgan, K.; Zeinkiewicz, O.C., Adaptive remeshing for compressible flow computations, J. comput. phys., 72, 449-466, (1987) · Zbl 0631.76085
[17] Weatherill, N.P.; Marchant, M.J.; Turner-Smith, E.; Zheng, Y.; Sotirakis, M., The design of a graphical user environment for multi-disciplinary computational engineering, ()
[18] Weatherill, N.P.; Hassan, O.; Marcum, D.L.; Marchant, M.J., Lecture series 1994-02, grid generation, () · Zbl 0852.76048
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