Title:  Application of the Mortar Element Method to HP-refinement in the Method of Moments

Committee: 

Dr. Peterson, Advisor    

Dr. Scott, Chair

Dr. Cohen

Dr. Bibby

Abstract: The objective of this research is to enhance the accuracy and efficiency of EM computations using mortar methods and local refinement schemes. The method of moments in electromagnetics has traditionally suffered from a lack of robust error estimation and convergence bounds due to the numerical difficulties resulting from the method's reliance on singular Green's functions. These numerical difficulties have been a key impediment to the error-controlled solution of integral equations. This work will explore possible solutions to this difficulty through application of local error estimation methods and mortar-ing of nonconformal domains to facilitate refinement of computational geometries in order to achieve a desired level of accuracy.