E – 1909 Finite Element Method for Heat Transfer Problems
$75.00
Courses Included
Theย finite element methodย (FEM), is aย numerical methodย for solving problems of engineering andย mathematical physics. Typical problem areas of interest includeย structural analysis,ย heat transfer,ย fluid flow, mass transport, andย electromagnetic potential. Among them heat transfer problems are discussed here. Theย analytical solutionย of these problems generally require the solution toย boundary value problemsย forย partial differential equations.
The finite element method formulation of the problem results in a system ofย algebraic equations. The method yields approximate values of the unknowns at discrete number of points over the domain.ย 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 usesย variational methodsย from theย calculus of variationsย to approximate a solution by minimizing an associated error function.