Abstract
We present a complete topological framework that is able to provide incidence traversal operations for various topological elements. This enables one to perform the necessary topological operations for several discretization schemes. A combination of incidence information combined with an archetype concept enables one to optimize traversal operations of inter-dimensional objects without explicitly storing them. Access to topological structures is provided using a generalized iterator concept.
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References
Selberherr, S., SchĂ¼tz, A., Pötzl, H.: MINIMOS—A Two-Dimensional MOS Transistor Analyzer. IEEE Trans. Electron Dev. ED-27(8), 1540–1550 (1980)
Halama, S., Pichler, C., Rieger, G., Schrom, G., Simlinger, T., Selberherr, S.: VISTA — User Interface, Task Level, and Tool Integration. IEEE J. Techn. Comp. Aided Design 14(10), 1208–1222 (1995)
Sabelka, R., Selberherr, S.: A Finite Element Simulator for Three-Dimensional Analysis of Interconnect Structures. Microelectronics Journal 32(2), 163–171 (2001)
IμE: MINIMOS-NT 2.1 User’s Guide. Institut fĂ¼r Mikroelektronik, Technische Universität Wien, Austria (2004), http://www.iue.tuwien.ac.at/software/minimos-nt
Binder, T., Hössinger, A., Selberherr, S.: Rigorous Integration of Semiconductor Process and Device Simulators. IEEE Trans. Comp.-Aided Design of Int. Circ. and Systems 22(9), 1204–1214 (2003)
Berti, G.: GrAL - The Grid Algorithms Library. In: Sloot, P.M.A., Tan, C.J.K., Dongarra, J.J., Hoekstra, A.G. (eds.) Computational Science - ICCS 2002. LNCS, vol. 2331, pp. 745–754. Springer, Heidelberg (2002)
Abrahams, D., Siek, J., Witt, T.: New Iterator Concepts. Technical Report N1477 03-0060, ISO/IEC JTC 1, Information Technology, Subcommittee SC 22, Programming Language C++ (2003)
Bangerth, W., Hartmann, R., Kanschat, G.: deal.II – A General Purpose Object Oriented Finite Element Library. Technical Report ISC-06-02-MATH, Institute for Scientific Computation, Texas A&M University (2006)
Rafferty, C.S., Smith, R.K.: Solving Partial Differential Equations with the Prophet Simulator (1996)
Austern, M.H.: Generic Programming and the STL: Using and Extending the C++ Standard Template Library. Addison-Wesley Longman Publishing Co., Inc, Boston (1998)
Heinzl, R., Spevak, M., Schwaha, P., Grasser, T.: Concepts for High Performance Generic Scientific Computing. In: Proc. of the 5th MATHMOD, vol. 1, Vienna, Austria (2006)
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Spevak, M., Heinzl, R., Schwaha, P., Selberherr, S. (2007). A Computational Framework for Topological Operations. In: KĂ¥gström, B., Elmroth, E., Dongarra, J., WaÅ›niewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2006. Lecture Notes in Computer Science, vol 4699. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75755-9_95
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DOI: https://doi.org/10.1007/978-3-540-75755-9_95
Publisher Name: Springer, Berlin, Heidelberg
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