Finite Element Method $($FEM$)$ in Geotechnical Engineering: The Finite Element Method $($FEM$)$ is widely employed in geotechnical engineering to analyze complex soil$-$structure interaction problems. Describe the basic principles of FEM and how it is applied in geotechnical analysis. Discuss the key steps involved in developing a finite element model for analyzing soil$-$structure interaction, including mesh generation, material modeling, and boundary condition application. Furthermore, elaborate on the advantages and limitations of FEM compared to traditional analytical methods in geotechnical engineering, and provide examples of geotechnical problems where FEM is particularly useful.