Lecture 23 F.E. and B.E. Meshing Algorithms 23.1 General 23.1.1 Finite Element Method (FEM) FEM solves numerically complex continuous systems for which it is not possible to construct any analytic solution, see Figure 23.1 Physical Problem aw of physics Formulation of Equations PDE Weighted Residual Methods Integral Formulation Transformation of equations Unknown Function Approximation (using finite element mesh and matrix organization Algebraic System of Eq uations Numerical Solution Approximate Solution Figure 23.1: FEM ProcedureLecture 23 F.E. and B.E. Meshing Algorithms 23.1 General 23.1.1 Finite Element Method (FEM) FEM solves numerically complex continuous systems for which it is not possible to construct any analytic solution, see Figure 23.1. Physical Problem Law of Physics PDE Weighted Residual Methods Integral Formulation Algebraic System of Equations Unknown Function Approximation (using finite element mesh and matrix organization) Approximate Solution Numerical Solution Formulation of Equations Transformation of Equations Solution Figure 23.1: FEM Procedure 2