# Extreme-Scale Electromagnetic Modeling and Simulation in theSupercomputing Era
##### Collaborators: Ralf Hiptmair@ETH, Andrew Greenwood@AFRL
One basic research I have conducted is the pursuit of robust and yet efficient ways to solve Maxwell equations in their entirety. The research, usually called computational electromagnetics (CEM), is highly mathematical and abstract in itself, and can be stated as one of the principal research topics in electromagnetic fields. The implication and impact of this research is astronomical. It is the heart of modern computer-aided engineering/computer-aided design (CAE/CAD) tools for advanced antennas, radio frequency integrated circuits, electromagnetic interference and compatibility, signal and power integrity and other applications in electromagnetic and microwave engineering.
Ever-increasing fidelity and accuracy need for advanced EM applications have been pushing the problem sizestowards extreme scales. It puts a high premium on investigation of high-performance algorithms with optimal computational complexity. Moreover, increased demands are being placed on an integrated design andanalysis environment, which requires new simulation tools to be well integrated into design processes. Here,I briefly summarize my research contributions in the high-resolution and high-performance algorithms, whereboth simulation capability and modeling fidelity scale with the exponential growth in computing power.
