statcon¶

Purpose:

Reduce system of equations by static condensation.

Syntax:

[K1, f1] = statcon(K, f, b)

Description:

statcon reduces a system of equations

\[\mathbf{K}\;\mathbf{a} = \mathbf{f}\]

by static condensation.

The degrees of freedom to be eliminated are supplied to the function by the vector

b\(= \begin{bmatrix} dof_1 \\ dof_2 \\ \vdots \\ dof_{nb} \end{bmatrix}\)

where each row in b contains one degree of freedom to be eliminated.

The elimination gives the reduced system of equations

\[\mathbf{K}_1\;\mathbf{a}_1 = \mathbf{f}_1\]

where \(\mathbf{K}_1\) and \(\mathbf{f}_1\) are stored in K1 and f1 respectively.