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FINITE ELEMENT METHOD

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.

1. Finite Difference Method (FDM) 2. Finite Volume Method (FVM) 3. Finite Element Method (FEM) 4. Boundary Element Method (BEM) 5. Spectral Method 6. Perturbation Method (especially useful if the equation contains a small parameter) 1.1 Finite Difference Method The finite difference method is the easiest method to understand and apply.

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