Abstract
In this paper we present the results of applying a new algorithm to improve the quality of Delaunay triangulations for the numerical simulation of semiconductor devices using the control volume discretization method. The resulting triangulations are Delaunay triangulations, whose boundary triangles (triangles with at least one edge on the boundary or on a material interface) do not have obtuse angles opposite to any boundary or interface edges. In addition, the algorithm guarantees that the minimum and maximum angles of the triangles are bounded (minimum angle greater than or equal to 30° and maximum angle less than or equal to 120°), with the exception of a few triangles related with small angles of the boundary geometry.
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References
R. E. Bank, D. J. Rose, and W. Fichtner. Numerical methods for semiconductor device simulation. IEEE Trans. on El Dev., ED-30(9): 1031–1041, 1983.
M. R. Pinto. Comprehensive Semiconductor Device Simulation for Silicon ULSI. PhD thesis, Stanford University, 1990
N. Hitschfeld, P. Conti, and W. Fichtner. Mixed Elements Trees: A Generalization of Modified Octrees for the Generation of Meshes for the Simulation of Complex 3- D Semiconductor Devices. IEEE Trans. on CAD/ICAS, 12: 1714–1725, November 1993.
N. Hitschfeld. Grid Generation for Three-dimensional Non-Rectangular Semiconductor Devices. PhD thesis, ETH Zürich, Series in Microelectronics, Vol. 21, 1993. PhD thesis published by Hartung-Gorre Verlag, Konstanz, Germany.
G. Garretón, L. Villablanca, N. Strecker, and W. Fichtner. A new approach for 2-d mesh generation for complex device structures. In NUPAD V - Technical Digest, Honolulu, USA, June 1994.
Gary L. Miller, Dafna Talmor, Shang-Hua Teng, Noel Walkington, and Han Wang. Control volume meshes using sphere packing: generation, refinement and coarsening. In Proceedings of the 5th International meshing Roundtable, pages 47–61, Pittsburgh, Pennsylvania, 1996.
Jim Ruppert Marshall Bern, Scott Mitchell. Linear nonobtusetriangulation of polygons. In Proc. 10th annu. ACM sympos. computational geometry, pages 231–241, St.Louis, 1994.
M.C. Rivara. New longest-edge algorithms for the refinement and/or improvement of unstructured triangulations. International journal for numerical methodsin Engineering, 40: 3313–3324, 1997.
N. Hitschfeld and M.C. Rivara. Lepp-delaunay algorithm for quality non-obtuse boundary delaunay triangulations. Department of Computer Science, U. de Chile, 1998.
J Ruppert. A delaunay refinement algorithm for quality 2-d mesh generation. Journal of algorithms, 18: 548–585, 1995.
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© 1998 Springer-Verlag/Wien
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Hitschfeld, N., Rivara, MC., Palma, M. (1998). Improving the quality of Delaunay triangulations for the control volume discretization method. In: De Meyer, K., Biesemans, S. (eds) Simulation of Semiconductor Processes and Devices 1998. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6827-1_48
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DOI: https://doi.org/10.1007/978-3-7091-6827-1_48
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7415-9
Online ISBN: 978-3-7091-6827-1
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