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Integral equations for free-molecule ow in MEMS: recent advancements


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1. C. Cercignani, The Boltzmann equation and its applications, Springer, 198810.1007/978-1-4612-1039-9Search in Google Scholar

2. S. Chapman and T. Cowling, The mathematical theory of non-uniform gases, Cambridge Univeristy Press, 1960Search in Google Scholar

3. G.A. Bird, Molecular gas dynamics and the direct simulation of gas ows, Clarendon Press, 1994Search in Google Scholar

4. M. Gad-el-Hak, The uid mechanics of microdevices - the Freeman scholar lecture, J. Fluids Eng., vol. 121, pp. 5-33, 199910.1115/1.2822013Search in Google Scholar

5. G:E. Karniadakis and A. Beskok, Micro flows, fundamentals and simu- lation, Springer, 200210.1115/1.1483361Search in Google Scholar

6. M.M.R. Williams, A review of the rarefied gas dynamics theory associated with some classical problems in ow and heat transfer, Z. Angew. Math. Phys., vol. 52, pp. 500-516, 200110.1007/PL00001558Search in Google Scholar

7. A. Frangi, A. Ghisi, L. Coronato, On a deterministic approach for the evaluation of gas damping in inertial MEMS in the free-molecule regime, Sensor & Actuators A, vol. 49, pp. 21-28, 200910.1016/j.sna.2008.09.018Search in Google Scholar

8. A. Frangi, BEM technique for free-molecule flows in high frequency MEMS resonators, Engineering Analysis with Boundary Elements, vol. 33, pp. 493-498, 200910.1016/j.enganabound.2008.08.012Search in Google Scholar

9. M. Abramowitz and I. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover, 1964Search in Google Scholar

10. J. Hughes, A. Van Dam, M. Mcguire, D. Sklar, J. Foley, S. Feiner and K. Akeley, Computer Graphics: principles and practice (3rd edition), Addison-Wesley, 2013Search in Google Scholar

11. J. Bittner and P. Wonka, Visibility in computer graphics, Environment and Planning B: Planning and Design, vol. 30, pp. 729-755, 200310.1068/b2957Search in Google Scholar

12. S. Kumar, D. Manocha, W. Garrett and M. Lin, Hierarchical back-face computation, Computer and Graphics, vol. 23, pp. 681-692, 199910.1016/S0097-8493(99)00091-6Search in Google Scholar

13. C. Geuzaine, J.-F. Remacle, Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol. 79, pp. 1309-1331, 200910.1002/nme.2579Search in Google Scholar

14. P. Bergeron, A general version of Crows shadow volumes, IEEE Com- puter Graphics and Applications, vol. 6, no. 9, pp. 17-28, 198610.1109/MCG.1986.276543Search in Google Scholar

15. S. Idelsohn, N. Calvo and E. Oñate, Polyhedrization of an arbitrary 3D point set, Comput.Methods Appl. Mech. Engrg., vol. 192, pp. 2649-2667, 200310.1016/S0045-7825(03)00298-6Search in Google Scholar

16. P. Pacheco, An introduction to parallel programming, Morgan Kaufamann, 2011Search in Google Scholar

17. C. Cercignani, A. Frangi, S. Lorenzani, B. Vigna, BEM approaches and simplified kinetic models for the analysis of damping in deformable MEMS, Engineering Analysis with Boundary Elements, vol. 31, pp. 451-457, 200710.1016/j.enganabound.2006.11.010Search in Google Scholar

18. A. Frangi, P. Fedeli, G. Laghi, G. Langfelder and G. Gattere, Near vacuum gas damping in MEMS: numerical modeling and experimental validation, IEEE JMEMS, vol. 25, no. 5, pp. 890-899, 201610.1109/JMEMS.2016.2584699Search in Google Scholar

eISSN:
2038-0909
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, Numerical and Computational Mathematics, Applied Mathematics