QIP Short Term Course on
Finite Elements: Methods & Error Estimation
Organized by:
Department of Mathematics & Statistics

Feb 22-28, 2018




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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




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.




















Design by: Saurabh Bajpayee