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Title: Error Estimation and Adaptive Refinement Technique in the Method of Moments
Committee:
Dr. Peterson, Advisor
Dr. Scott, Chair
Dr. Durgin
Abstract: The objective of the proposed research is to develop reliable and computationally inexpensive adaptive refinement techniques for the three-dimensional method of moments to reduce numerical errors. Error estimators are key components of the adaptive refinement techniques because they determine regions of the problems where errors are large. Various error estimators are investigated and implemented. To evaluate their accuracy, problems such as a spherical cavity problem where an exact solution is already known are employed. The Pearson correlation coefficient is used in order to assess accuracy and efficiency of the error estimators. A simple h-refinement scheme is implemented with the electric field integral equation and numerical results are shown and discussed.
