Simulations by using the real-time finite element method

Abstract

This paper provides an overview of the various applications of Finite Element Method (FEM) technology across a broad range of practical uses. While it is difficult to cover every aspect comprehensively, FEM technology has significantly enhanced the field of numerical mathematics, earning praise for its effectiveness and versatility in fundamental analysis. Although traditional FEM component software typically requires separate mathematical analysis and individual calculations, rapid advancements in scientific research and practical applications over recent decades have motivated experts to further explore the growing trend of employing these techniques, which rely on FEM-based models (i.e., specific component technique models). The limitations imposed on different sectors—based on the pace of scientific progress—demand a high level of expertise, often requiring numerical analysis tests. Various methodologies for implementing FEM technology have been suggested, depending on the specific needs of different fields. Despite its challenges, FEM technology remains one of the most advanced and reliable tools globally, offering precise and rapid calculations for a wide range of complex tasks, provided through comprehensive and accurate software programs.