• Satyam Soni
• Abdul Hameed Khan
• Girish Khare

The Finite Element Method (FEM) has emerged as a powerful numerical technique for solving a wide range of engineering and scientific problems involving complex geometries and physical phenomena. This review paper provides an in-depth analysis of the fundamental principles, historical development, applications, advantages, and challenges of the Finite Element Methodology. We discuss the key concepts of FEM, its mathematical foundation, and its implementation process. Furthermore, we explore various applications spanning multiple disciplines, highlighting its versatility and effectiveness. Additionally, we address current trends and challenges in FEM research, including adaptive methods, uncertainty quantification, and the integration of FEM with other computational techniques. This comprehensive review aims to offer readers a clear understanding of the significance of FEM in modern engineering and scientific simulations.

"A Comprehensive Review on Current Trends, Applications and Future Directions of Finite Element Methods", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 8, page no.e410-e414, August-2023, Available :http://www.jetir.org/papers/JETIR2308450.pdf

"A Comprehensive Review on Current Trends, Applications and Future Directions of Finite Element Methods", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 8, page no. ppe410-e414, August-2023, Available at : http://www.jetir.org/papers/JETIR2308450.pdf