This book reports on the state of the art research and development findings on this very broad matter through original and innovative research studies exhibiting various investigation directions of Finite Element Method (FEM) in electrical, civil, materials and biomedical engineering. The text is addressed not only to researchers, but also to professional engineers, students and other experts in a variety of disciplines, both academic and industrial seeking to gain a better understanding of what has been done in the field recently, and what kind of open problems are in this area.