MassMatrix

Theory

$$\int_{\Omega } N^{I} N^{J}d\Omega$$ $$\int_{\Omega } \rho N^{I} N^{J}d\Omega$$

Example 1

This example shows how to use the subroutine called MassMatrix to create a mass matrix in space domain.

Here, we want to do the following.

$$\int_{\Omega } N^{I}\rho N^{J}d\Omega$$

rho can be a constant, or a function of spatial coordinates, or some nonlinear function.

In this example, we use

• ReferenceLine element,
• QuadraturePoint are GaussLegendre
• order of integrand is 2.

$$\int_{\Omega } N^{I} N^{J}d\Omega$$

This type of mass matrix is useful in cases where $rho$ is a constant.