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FINITE ELEMENT METHOD - IIST

FINITE ELEMENT METHODA bdusamad A. SalihDepartment of Aerospace EngineeringIndian Institute of Space Science and TechnologyThiruvananthapuram - 695547, FINITE Difference METHOD .. FINITE ELEMENT METHOD .. Direct Approach .. Variational Approach .. Weighted Residual METHOD ..52 Direct Approach to FINITE ELEMENT Introduction .. Linear Spring System .. Solution of System of Equations .. Direct Approach to Steady-Sate Heat Conduction Problem ..133 Calculus of Introduction .. Functionals .. First Variation of Functionals .. The Fundamental Problem .. Maxima and Minima .. Maxima and minima of functionals .. The Simplest Problem .. Essential and natural boundary conditions .. Other forms of Euler Lagrange equation .. Special cases .. Advanced Variational Problems .. Variational problems with high-order derivatives .. Variational problems with several independent variables .. Application of EL Equation: Minimal Path Problems.

1.2. FINITE ELEMENT METHOD 5 1.2 Finite Element Method As mentioned earlier, the finite element method is a very versatile numerical technique and is a general purpose tool to solve any type of physical problems. It can be used to solve both field problems (governed by differential equations) and non-field problems.

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