Title :
Comparison of model order reduction methodologies for thermal problems
Author :
Salleras, M. ; Bechtold, T. ; Fonseca, L. ; Santander, J. ; Rudnyi, E.E. ; Korvink, J.G. ; Marco, S.
Author_Institution :
Dept. d´´Electronica, Barcelona Univ., Spain
Abstract :
In this paper two different methodologies for model order reduction for thermal problems are analyzed. These methodologies (Araoldi algorithm and Proper Orthogonal Decomposition) face the problem from two different points of view. The first, deals with system matrices obtained from the space discretization of the system of partial differential equations (e.g. finite element method), which describe the relationship between the different nodes of the system, while Proper Orthogonal Decomposition deals with the input-output information of the system. Both methodologies have its own advantages and inconveniences, which will be discussed for a particular MEMS device.
Keywords :
finite element analysis; micromechanical devices; partial differential equations; reduced order systems; thermal analysis; thermal management (packaging); Araoldi algorithm; MEMS device; finite element method; input-output information; model order reduction; partial differential equations; proper orthogonal decomposition; space discretization; system matrices; thermal problems; Differential equations; Finite element methods; Gas detectors; Matrix decomposition; Microelectromechanical devices; Micropumps; Partial differential equations; Power system modeling; Temperature sensors; Thermal sensors;
Conference_Titel :
Thermal, Mechanical and Multi-Physics Simulation and Experiments in Micro-Electronics and Micro-Systems, 2005. EuroSimE 2005. Proceedings of the 6th International Conference on
Print_ISBN :
0-7803-9062-8
DOI :
10.1109/ESIME.2005.1502773
