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About Workshop
The finite element method (FEM) is a
numerical method for solving problems of
engineering and
mathematical physics. It is also referred to
as finite element analysis (FEA). Typical problem areas of
interest include
structural analysis,
heat transfer,
fluid flow, mass transport, and
electromagnetic potential. The
analytical solution of these problems
generally require the solution to
boundary value problems for
partial differential equationss. The finite
element method formulation of the problem results in a system of
algebraic equations. The method yields
approximate values of the unknowns at discrete number of points over the
domain.^{[1]}
To solve the problem, it subdivides a large problem into smaller,
simpler parts that are called finite elements. The simple equations that
model these finite elements are then assembled into a larger system of
equations that models the entire problem. FEM then uses
variational methods from the
calculus of variations
Objectives
• To
introduce the basics of Finite Element Method for Partial Differential
Equations.ns.
• To emphasize the importance of apriori and aposteriori error
estimation in FEA.
• To introduce the mathematical approach to error estimation on which
adaptive FEM may be evolved
• To introduce the mathematical approach to Verification and Validation
in FE Computations.

