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Finite Element Methods for Microelectromechanical Systems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2009 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The stationary Joule heating problem is a crucial multiphysical problem for many microelectromechanical (MEMS) applications. In our paper, we derive a finite element method for this problem and introduce iterative solution-techniques to compute the numerical simulation. Further we construct an adaptive algorithm for mesh refinement based on a posteriori error estimation.Finally, we present two numerical tests: convergences analysis of different iterative methods for distinct materials which are classified by electrical conductivities, and a test of the new adaptive refinement algorithm. All the numerical implementations have been done in MATLAB.

Place, publisher, year, edition, pages
2009.
Series
IT ; 09 060
Identifiers
URN: urn:nbn:se:uu:diva-110896OAI: oai:DiVA.org:uu-110896DiVA, id: diva2:278873
Presentation
(English)
Uppsok
Technology
Supervisors
Examiners
Available from: 2009-11-30 Created: 2009-11-30 Last updated: 2009-11-30Bibliographically approved

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