This review article revisits and outlines the perfectly matched layer (PML) method and its
various formulations developed over the past 25 years for the numerical modeling and …

We review key ingredients that are needed for high-fidelity simulation of earthquake-
generated seismic waves in large regions. Specifically, we survey existing literature on wave …

We introduce a mathematical framework for the inverse medium problem arising commonly
in geotechnical site characterization and geophysical probing applications, when stress …

This dissertation is focused on creating the key ingredients of a numerical platform for
reduced order modeling of soil structure interaction (SSI) problems. Specifically, a computer …

This dissertation is focused on creating the key ingredients of a numerical platform for
reduced order modeling of soil structure interaction (SSI) problems. Specifically, a computer …

Many practical applications require the analysis of elastic wave propagation in a
homogeneous isotropic media in an unbounded domain. One widely used approach for …

We discuss a full-waveform based material profile reconstruction in two-dimensional
heterogeneous semi-infinite domains. In particular, we try to image the spatial variation of …

This study is concerned with the development of new mixed unsplit-field perfectly matched
layers (PMLs) for the simulation of plane electromagnetic waves in heterogeneous …

Blast induced soil vibrations can cause structural damage even at large distances from the
source, causing the need for accurate prediction methods. The occurrence of shock waves …

Absorbing boundary conditions are a requisite element of many computational wave prop-
agation problems. With our main motivation being the anchor loss simulations of Micro …