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Modified octree mesh generation for Manhattan type structures with narrow layers applied to semiconductor devices. (English) Zbl 1104.82050

Summary: One of the most important steps in the process of semiconductor device simulation, or any other numerical simulation based on finite elements, finite differences or similar standard techniques, is the discretization of the domain of the problem. A mesh must be generated, and its properties determine the stability of the numerical solver, computational time and quality of the solution.
In this paper an octree-based mesh generator is presented. The classical model for octree generation have been modified to optimize the programme for special regions of interest in the semiconductor device problem, Manhattan structures with very narrow layers. Using this technique, several meshing patterns have been tested and compared. Numerical results of the generation of general meshes are presented to demonstrate the efficiency of the algorithms from two points of view: mesh quality and computational effort.
It has been successfully applied to the modelling and simulation of different transistors, High Electron Mobility Transistors (HEMTs) and Metal Oxide Semiconductor Field Effect Transistors (MOSFETs).

MSC:

82D37 Statistical mechanics of semiconductors
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs

Software:

GiD
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Full Text: DOI

References:

[1] The Finite Element Method. McGraw-Hill: London; New York, 1977.
[2] Schenk, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 23 pp 400– (2004)
[3] Hitschfeld, International Journal for Numerical Methods in Engineering 58 pp 333– (2003)
[4] Hitschfeld, International Journal for Numerical Methods in Engineering 55 pp 803– (2002)
[5] Bonet, International Journal for Numerical Methods in Engineering 31 pp 1– (1991)
[6] Kwok, Communications in Numerical Methods in Engineering 11 pp 465– (1995)
[7] Lo, International Journal for Numerical Methods in Engineering 21 pp 1403– (1985)
[8] Peraire, Journal of Computational Physics 72 pp 449– (1987)
[9] Yerry, International Journal for Numerical Methods in Engineering 20 pp 1965– (1984)
[10] Shephard, International Journal for Numerical Methods in Engineering 32 pp 709– (1991)
[11] Hitschfeld, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 12 pp 1714– (1993)
[12] Heitzinger, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 24 pp 1485– (2005)
[13] Chen, Journal of Computational Physics 204 pp 131– (2005)
[14] García-Loureiro, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 18 pp 327– (2005)
[15] Falco, Journal of Computational Physics 204 pp 533– (2005)
[16] García-Loureiro, International Journal for Numerical Methods in Engineering 49 pp 639– (2000)
[17] Mesh generation and information model for device simulation. Ph.D. Dissertation, Stanford University, 1994.
[18] Mitchell, SIAM Journal on Computing 29 pp 1334– (2000)
[19] . Efficient subdivision of finite-element datasets into consistent tetrahedra. vis, Eighth IEEE Visualization 1997 (VIS’97), Austin, TX, 1997; 213.
[20] , . Compatible triangulations of spatial decompositions. vis, 15th IEEE Visualization 2004 (VIS’04), Phoenix, AZ, 2004; 211–218.
[21] , , . Proposal of benchmarks for 3D unstructured tetrahedral mesh optimization. Rapport CERCA R98-91, École Polytechnique Montréal, Québec, Canada, September 1998; Presented at 7th International Meshing Roundtable, Dearborn, Michigan, 26–28 October 1998.
[22] QMG 1.1 Reference Manual, Computer Science Department, Cornell University, 1996.
[23] GiD, the personal pre and post processor. International Center for Numerical Methods in Engineering. http://gid.cimne.upc.es/
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