Stiffness matrix
= Stiffness matrix
{title2=$K_{ij}=a(\phi_j,\phi_i)$}
The stiffness matrix represents a variational <bilinear form> $a$ in a <finite element> basis. A symmetric <coercive bilinear form> gives a <positive-definite matrix>. Local support of the <piecewise-linear hat functions> produces a sparse <matrix>, allowing efficient numerical solution.