CODE | MAT3713 | ||||||||
TITLE | The Finite Element Method | ||||||||
UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
MQF LEVEL | 6 | ||||||||
ECTS CREDITS | 5 | ||||||||
DEPARTMENT | Mathematics | ||||||||
DESCRIPTION | - Approximate solution of boundary value problems:       - Variational methods,       - Weighted residual methods; - Variational methods:       - The Rayleigh-Ritz method,       - Minimisation of the energy functional,       - Application to bars and beams,       - Discretisation of region,       - The piecewise Rayleigh-Ritz method,       - One dimensional elements,       - The element shape functions,       - The linear bar element,       - The cubic beam element,       - Element stiffness and consistent loading,       - Assembly and solution of stiffness equations,       - Estimate of accuracy of approximate solution; - Weighted residual methods:       - The Galerkin method,       - The one-dimensional Poisson equation:             - Dirichlet, derivative or mixed boundary conditions,             - Solution with linear or quadratic elements;       - The two-dimensional Poisson equation:             - Solution with linear triangular elements; - Applications of above:       - Axial extension and vibration of bars,       - Bending of beams,       - Torsion,       - Heat Transfer,       - Groundwater flow. Main Text - Lewis P.E. and Ward J.P., The Finite Element Method, Principles and Applications, Addison-Wesley, New York, 1991. Supplementary Reading - Dawe D.J., Matrix and Finite Element Displacement Analysis of Structures, Clarendon Press, Oxford,1984. - Segerlind L.J. Applied Finite Element Analysis, John Wiley, New York; 1st Edition 1976, 2nd Edition 1984. - Ottosen N.S. and Petersson H., Introduction to the Finite Element Method, Prentice Hall, New York,1992. - Fagan M.J., Finite Element Analysis: Theory and Practice, Longman, Singapore, 1992. |
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ADDITIONAL NOTES | Follows from: MAT3711 Leads to: MAT5713 |
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STUDY-UNIT TYPE | Lecture | ||||||||
METHOD OF ASSESSMENT |
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LECTURER/S | Onur Baysal |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2024/5. It may be subject to change in subsequent years. |