Electrical and Computer Engineering ETDs

Publication Date

Winter 2-19-2018


The need for increasing fidelity and accuracy in mission-critical electromagnetic applications have pushed the problem sizes toward extreme computational scales. Therefore, there is a large premium placed on the investigation of parallel and scalable integral equation simulators, a particularly useful class of computational electromagnetics, to meet this demand. This dissertation will focus on three interrelated areas: i) quasi-optimal, well-conditioned integral equation based domain decomposition methods, ii) geometry-adaptive, multi-scale discontinuous Galerkin boundary element methods, and iii) high-performance and scalable algorithms to reduce the computational complexity of extreme-scale simulations with the aid of parallel computing architectures. This dissertation will first develop the mathematical underpinnings of a geometry-adaptive, integral equation domain decomposition method. Then the parallelization technique will be discussed along with many numerical experiments to profile its performance. Finally, two real-world applications will be discussed that demonstrate the utility of a high performance-enabled solution. First, a solution to the challenging problem of the solution and prototyping of antennas on large platforms will be discussed. Finally, the code will be used to solve a channel modeling problem that has many important applications for the fifth generation (5G) of wireless telecommunication.


Computational electromagnetics, Surface integral equation, Scientific computing, Domain decomposition method, Antenna design and analysis, Discontinuous Galerkin

Document Type




Degree Name

Electrical Engineering

Level of Degree


Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Zhen Peng

Second Committee Member

Daniel Appelö

Third Committee Member

Christos Christodoulou

Fourth Committee Member

Yang Shao