The course aims to provide knowledge, understanding and ability for students to analyze problems using the finite element method. This course covers topics such as fundamental theory in finite element methods, variational methods, 1, 2 and 3 dimensional problems, linear and non-linear concepts, method of solution, mesh and adaptive mesh, error estimations, analysis and error estimation, fundamental of finite volume methods, problems of diffusion, advection-difusion and transient, basic theory of finite boundary methods, Laplace, Poisson, and wave equations. Introduction to discrete element method, meshless, x-FEM, molecular dynamics, artificial intelligent and the latest technology in space, time and multiscale computational methods. This course combines theory and practice of computational engineering method for solving engineering problems. At the end of the course, a project will be given to students using to solve using some software.
Brebbia C.A, Dominguez J, 1992, The Boundary Element Method in Engineering: A Complete Course, Mcgraw-Hill
Chandrupatla, T.R. & Belegundu, A.D., 2012, Introduction to Finite Elements in Engineering, 4rd Edition, Prentice Hall International.
Zienkiewicz, O.C. & Taylor, R.L. The Finite Element Methods, Volume I (2005) & II (1991) 6th Edition. Mc Graw Hill, New York.
Versteeg, H.K. & Malalasekera, W. 2007. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. 2nd ed. Prentice Hall.
Munjiza, A., 2004, The Combined Finite-Discrete Element Method, 1st edition. John Wiley.
– please make sure practise the exercise especially students who have no basic numerical methods in their undergraduate.
III [Analysis and error estimation]
VI [Boundary Element Methods]
IX [Latest Computational Methods]
XII [Molecular Dynamics and Artificial Intelligent]
Boundary Element Methods
BEM advances research
BEM research in UKM
Probabilistic structural mechanics
Project: Base on example in excel programme, select you own problem complete with formula solve using monte carlo simulation.
Fuzzy Finite Element Analysis
Stochastic Finite Element Analysis
Partial Differential Equations
Discrete Element Methods
The DEM to Simulate Fruit Impact Damage during Transport and Handling [PDF]
Usage of DEM in Conveyor Technologies [PDF]
Update on the DEM in Engineering Education [PDF]
DEM research in UKM
Introduction to Meshfree Methods [PDF]
Towards an efficient meshless computational technique [PDF]
Meshless in solid mechanics [PDF]
Meshless Finite Element Methods [PDF]
Couple Meshfree and Finite Element Methods [PDF]
Advances in x-fem research
The 2nd International Conference on the EXtended Finite Element Method [PDF]
An XFEM method for modelling geometrically elaborate crack propagation in brittle materials [PDF]
x-fem research in UKM
Introduction to Molecular Dynamics Simulation [PDF]
Advances in molecular dynamics research
Combined molecular dynamics and finite element method [PDF]
molecular dynamics and x-fem [PDF]
Hybrid finite-element-molecular-dynamics-electronic-density-functional approach to materials simulations [PDF]
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updated 6 September 2016