Finite element analysis; Boundary-elements methods
Abstract :
[en] This paper deals with the coupled mechanical-electrostatic analysis of a shunt capacitive MEMS switch. The mechanical and electrostatic parts of the problem are modelled by the FE and BE methods, respectively. The fast multipole method is applied to reduce the storage requirements and the computational cost of the BE electrostatic model An adaptive truncation expansion of the 3D Laplace Green function is employed The strong interaction between the mechanical and electrostatic systems is considered iteratively.
Disciplines :
Electrical & electronics engineering
Author, co-author :
V Sabariego, Ruth ; Université de Liège - ULiège > Department of Electrical Engineering and Computer Science > Applied Electricity (ELAP)
Gyselinck, Johan; Université de Liège - ULiège > Deparment of Electrical Engineering and Computer Science > Applied Electricity (ELAP)
Dular, Patrick ; Université de Liège - ULiège > Department of Electrical Engineering and Computer Science > Applied Electricity (ELAP)
De Coster, Jeroen; Katholieke Universiteit Leuven - KUL > Department of Electrical Engineering (ESAT-MICAS)
Henrotte, François; Katholieke Universiteit Leuven - KUL > Department of Electrical Engineering (ESAT-ELECTA)
Hameyer, Kay; Katholieke Universiteit Leuven - KUL > Department of Electrical Engineering (ESAT-ELECTA)
Language :
English
Title :
Coupled mechanical-electrostatic FE-BE analysis with FMM acceleration
Publication date :
2004
Journal title :
COMPEL
ISSN :
0332-1649
eISSN :
2054-5606
Publisher :
Emerald Group Publishing Limited, Bradford, United Kingdom
Brown, E.R. (1998), "RF-MEMS switches for reconfigurable integrated circuits", IEEE Trans, on Microwave Theory and Techniques, Vol. 46 No. 11, pp. 1868-80.
Buchau, A., Huber, C.J., Rieger, W. and Rucker, W.M. (2001), "Fast BEM computations with the adaptive multilevel fast multipole method", IEEE Transactions on Magnetics, Vol. 36 No. 4, pp. 680-4.
Coventor, Inc. (2003), Accelerating MEMS Innovations, 4001 Weston Parkway, Cary, NC 27513, available at: www.coventor.com, USA
Farina, M. and Rozzi, T. (2001), "A 3D integral equation-based approach to the analysis of real-life MMICS-application to microelectromechanical systems", IEEE Trans, on Microwave Theory and Techniques, Vol. 49 No. 12, pp. 2235-40.
Femlab (1997-2004), Multiphysics modelling, COMSOL, Inc., 1100 Glendon Avenue, 17th Floor Los Angeles, CA 90024. USA, available at: www.femlab.com
GetDP (2003), A General Environment for the Treatment of Discrete Problems, Department of Electrical Engineering (ELAP), Institut Montefiure. University of Liège, Sart Tilman Campus, available at: www.geuz.org/getdp, Belgium
Graglia, R.D. (1993), "On the numerical integration of the linear shape functions times the 3D Green's Function of its gradient on a plane triangle", IEEE Trans, on Antennas and Propagation, Vol. 41 No. 10, pp. 1448-55.
Nabors, K. and White, J. (1991), "Fastcap: a multipole accelerated 3D capacitance extraction program". IEEE Transactions on Computer-Aided Design, Vol. 10 No. 11, pp. 1447-59.
Pilkey, W.D. (2002), Analysis and Design of Elastic Reams: Computational Methods, Wiley, New York, NY.
Rao, S.M., Sarkar, T.K. and Harrington, R.F. (1984), "The electrostatic field of conducting bodies in multiple dielectric media", IEEE Trans, on Microwave Theory and Techniques, Vol. 32 No. 11, pp. 1441-8.
Rokhlin, V. (1983), "Rapid solution of integral equations of classical potential theory", Journal of Computational Physics, Vol. 60, pp. 187-207.
Saad, Y. and Schultz, M.H. (1986), "GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems", SIAM J. Sci. Comput., Vol. 7 No. 3, pp. 856-69.
Sabariego, R.V., Gyselinck, J., Dular, P., Geuzaine, C. and Legros, W. (2004), "Fast: multipole acceleration of the hybrid finite element-boundary element analysis of 3D eddy current problems", IEEE Transactions on Magnetics, Vol. 40 No. 2, pp. 1278-1281.