SPARSE DIRECT SOLUTION METHODS FOR CAPACITIVE EXTRACTION PROBLEMS ON CLOSELY-SPACED GEOMETRIES WITH HIGH ASPECT RATIOS
The method of moment (MoM) [1] is a widely used method in electromagnetics to solve static and dynamic electromagnetic problems on varying geometries. However, in closely spaced geometries coupled with large aspect ratios, e.g. a large parallel plate capacitor with very small separation gap, the pro...
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| Format: | Others |
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UKnowledge
2017
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| Online Access: | http://uknowledge.uky.edu/ece_etds/108 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1110&context=ece_etds |
| Summary: | The method of moment (MoM) [1] is a widely used method in electromagnetics to solve static and dynamic electromagnetic problems on varying geometries. However, in closely spaced geometries coupled with large aspect ratios, e.g. a large parallel plate capacitor with very small separation gap, the problem exhibits several challenges. Firstly, the close proximity of the field and source elements presents problems with convergence in numerical evaluations of the interactions between them. Secondly, the aspect ratio of the geometry gives an approximation whereby to far field points, the source contributions from locations that are far apart appear to cancel each other. This leads to high condition numbers in the system matrix. This thesis explores the potential solution to these problems as well as the application of modular fast and direct (MFD) [2] solver to expedite the solution of such problems. |
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