Sign Up Log In Lost your password? Forgot your password? Get help. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. Subsequently, a weak form of the governing equations is established.
Mod-01 Lec-03 Introduction to Finite Element Methodįirst, the strong form of the problem governing differential equations and boundary conditions is formulated. A general procedure is presented for the finite element analysis FEA of a physical problem, where the goal is to specify the values of a field function. The first volume focuses on the use of the method for linear problems. This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method FEM. An introductory textbook covering the fundamentals of linear finite element analysis FEA.