Syllabus
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Course Code: *Elective-V MTTH-203 Course Name: Finite Element Methods |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
|---|---|---|
| 1 | Basic Steps in FEM Formulation, General Applicability of the Method; Variational Functional, Ritz Method. Variational FEM: Derivation of Elemental Equations, Assembly, Imposition of Boundary Conditions, Solution of the Equations. | |
| 2 | 1-D Elements, Basis Functions and Shape Functions, Convergence Criteria, h and p Approximations. Natural Coordinates, Numerical Integration, Gauss Elimination based Solvers. Computer implementation: Pre-processor, Processor, Post-processor. | |
| 3 | Alternate Formulation: Weighted Residual Method, Galerkin Method; Problems with C1 Continuity: Beam Bending, Connectivity and Assembly of C1 Continuity Elements. Variational Functional; 2-D Elements (Triangles and Quadrilaterals) and Shape Functions. Natural Coordinates, Numerical Integration, Elemental Equations, .Connectivity and Assembly, Imposition of Boundary Conditions. | |
| 4 | Axisymmetric (Heat Conduction) Problem, Plane Strain and Plane Stress Solid Mechanics Problems. Sub-parametric, Iso-parametric and Super-parametric Elements; Elements with C1 Continuity. Free Vibration Problems, Formulation of Eigen Value Problem, FEM Formulation. Time-dependent Problems, Combination of Galerkin FEM and FDM (Finite Difference Method), Convergence and Stability of FD Scheme. | |
