Finite

Today, I intend to explain the last of the finite element equation methods : the weighted residual methods Among them, the most widely used Galerkin's method will be explained. Assuming there is a differential equation $Du(x)=f(x)$ for $u(x)$, and the approximate solution for $u$ is denoted as $\hat u$, then since $u \ne \hat u$, $Du(x)=f(x)$ is satisfied, but $D\hat u - f \ne 0$. This is referr..

The book(Darly L.Logan - A First Course in the Finite Element Method) explains the principle of virtual work as follows. If a deformable body in equilibrium is subjected to arbitrary virtual (imaginary) displacements associated with a compatible deformation of the body, the virtual work of external forces on the body is equal to the virtual strain energy of the internal stresses. In other words,..