## 2. Rayleigh-Ritz procedure (cont'd)

Thus, the boundary-value problem for a single element has been
reduced to the solution of \(n\) linear algebraic equations in
\(n\)unknowns.

Equivalently, it has been reduced to a matrix equation with an
\(n \times n\) matrix.

If the element is a triangle, and each vertex has 1 degree of freedom, then
the matrix will be 3×3. If each vertex has 3 degrees of freedom
(\(x\), \(y\) and \(z\) displacement components) then
the matrix will be 9×9.

R. Funnell
Last modified: 2018-11-07 12:52:06
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